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Manos TENTZERIS  
Ambient Energy Antenna

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Combine this with the [TATE
AMBIENT POWER MODULE](http://rexresearch.com/tate/tate.htm) ( w/ Zener diodes ? )

<http://www.sciencedaily.com>  
7 July 2011

Power from the Air: Device
Captures Ambient Electromagnetic Energy to Drive Small
Electronic Devices

Researchers have discovered
a way to capture and harness energy transmitted by such
sources as radio and television transmitters, cell phone
networks and satellite communications systems. By
scavenging this ambient energy from the air around us, the
technique could provide a new way to power networks of
wireless sensors, microprocessors and communications
chips.

"There is a large amount of electromagnetic energy all
around us, but nobody has been able to tap into it," said
Manos Tentzeris, a professor in the Georgia Tech School of
Electrical and Computer Engineering who is leading the
research. "We are using an ultra-wideband antenna that
lets us exploit a variety of signals in different
frequency ranges, giving us greatly increased
power-gathering capability."

Tentzeris and his team are using inkjet printers to
combine sensors, antennas and energy scavenging
capabilities on paper or flexible polymers. The resulting
self powered wireless sensors could be used for chemical,
biological, heat and stress sensing for defense and
industry; radio frequency identification (RFID) tagging
for manufacturing and shipping, and monitoring tasks in
many fields including communications and power usage.

A presentation on this energy scavenging technology was
given July 6 at the IEEE Antennas and Propagation
Symposium in Spokane, Wash. The discovery is based on
research supported by multiple sponsors, including the
National Science Foundation, the Federal Highway
Administration and Japan's New Energy and Industrial
Technology Development Organization (NEDO).

Communications devices transmit energy in many different
frequency ranges, or bands. The team's scavenging devices
can capture this energy, convert it from AC to DC, and
then store it in capacitors and batteries. The scavenging
technology can take advantage presently of frequencies
from FM radio to radar, a range spanning 100 megahertz
(MHz) to 15 gigahertz (GHz) or higher.

Scavenging experiments utilizing TV bands have already
yielded power amounting to hundreds of microwatts, and
multi-band systems are expected to generate one milliwatt
or more. That amount of power is enough to operate many
small electronic devices, including a variety of sensors
and microprocessors.

And by combining energy scavenging technology with
supercapacitors and cycled operation, the Georgia Tech
team expects to power devices requiring above 50
milliwatts. In this approach, energy builds up in a
battery-like supercapacitor and is utilized when the
required power level is reached.

The researchers have already successfully operated a
temperature sensor using electromagnetic energy captured
from a television station that was half a kilometer
distant. They are preparing another demonstration in which
a microprocessor-based microcontroller would be activated
simply by holding it in the air.

Exploiting a range of electromagnetic bands increases the
dependability of energy scavenging devices, explained
Tentzeris, who is also a faculty researcher in the Georgia
Electronic Design Center at Georgia Tech. If one frequency
range fades temporarily due to usage variations, the
system can still exploit other frequencies.

The scavenging device could be used by itself or in
tandem with other generating technologies. For example,
scavenged energy could assist a solar element to charge a
battery during the day. At night, when solar cells don't
provide power, scavenged energy would continue to increase
the battery charge or would prevent discharging.

Utilizing ambient electromagnetic energy could also
provide a form of system backup. If a battery or a
solar-collector/battery package failed completely,
scavenged energy could allow the system to transmit a
wireless distress signal while also potentially
maintaining critical functionalities.

The researchers are utilizing inkjet technology to print
these energy scavenging devices on paper or flexible
paper-like polymers -- a technique they already using to
produce sensors and antennas. The result would be
paper-based wireless sensors that are self powered, low
cost and able to function independently almost anywhere.

To print electrical components and circuits, the Georgia
Tech researchers use a standard materials inkjet printer.
However, they add what Tentzeris calls "a unique in house
recipe" containing silver nanoparticles and/or other
nanoparticles in an emulsion. This approach enables the
team to print not only RF components and circuits, but
also novel sensing devices based on such nanomaterials as
carbon nanotubes.

When Tentzeris and his research group began inkjet
printing of antennas in 2006, the paper-based circuits
only functioned at frequencies of 100 or 200 MHz, recalled
Rushi Vyas, a graduate student who is working with
Tentzeris and graduate student Vasileios Lakafosis on
several projects.

"We can now print circuits that are capable of
functioning at up to 15 GHz -- 60 GHz if we print on a
polymer," Vyas said. "So we have seen a frequency
operation improvement of two orders of magnitude."

The researchers believe that self-powered, wireless
paper-based sensors will soon be widely available at very
low cost. The resulting proliferation of autonomous,
inexpensive sensors could be used for applications that
include:

Airport security: Airports have both multiple security
concerns and vast amounts of available ambient energy from
radar and communications sources. These dual factors make
them a natural environment for large numbers of wireless
sensors capable of detecting potential threats such as
explosives or smuggled nuclear material.

Energy savings: Self-powered wireless sensing devices
placed throughout a home could provide continuous
monitoring of temperature and humidity conditions, leading
to highly significant savings on heating and air
conditioning costs. And unlike many of today's sensing
devices, environmentally friendly paper-based sensors
would degrade quickly in landfills.

Structural integrity: Paper or polymer-based sensors
could be placed throughout various types of structures to
monitor stress. Self powered sensors on buildings, bridges
or aircraft could quietly watch for problems, perhaps for
many years, and then transmit a signal when they detected
an unusual condition.

Food and perishable material storage and quality
monitoring: Inexpensive sensors on foods could scan for
chemicals that indicate spoilage and send out an early
warning if they encountered problems.

Wearable bio-monitoring devices: This emerging wireless
technology could become widely used for autonomous
observation of patient medical issues.

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USP 6917339  
Multi-band broadband
planar antennas

  
Inventor(s):     LI RONGLIN [US]; TENTZERIS
EMMANOUIL M [US]; LASKAR JOY [US] + (LI RONGLIN, ; TENTZERIS
EMMANOUIL M, ; LASKAR JOY)  
  
Classification: - international:    
H01Q1/24; H01Q11/12; H01Q21/30; H01Q5/00; H01Q7/00;
H01Q9/30; H01Q9/42; (IPC1-7): H01Q11/12; H01Q7/00 -
European: H01Q21/30; H01Q5/00B; H01Q9/30; H01Q9/42  
  
Antennas of broadband and multi-band operation are
presented. A broadband planar antenna includes two
inverted-L antennas (ILAs) facing each other across a gap.
One of the ILAs is input fed, and the other is
electromagnetically coupled. The positioning of the gap
affects the bandwidth. A dual-band planar antenna includes
two ILAs facing each other across a gap with one of the ILAs
being input fed, and the other being coupled. This dual-band
planar antenna also includes a monopole antenna disposed
between the two ILAs. A triple-band planar antenna includes
two ILAs facing each other across a gap with one of the ILAs
being input fed and the other IPA being coupled. This
triple-band antenna also includes a monopole antenna
disposed between the two ILAs, and a conductor extending
horizontally from the monopole antenna towards, but not
reaching the coupled ILA.; Another dual-band antenna
includes an inner cut loop antenna encompassed by an outer
cut loop antenna. Each of the cut loop antennas includes two
ILAs with one of the ILAs being input fed and the other
being coupled.  
  
Description  
  
RELATED APPLICATION  
  
[0001] This application claims priority to and the benefit
of the prior filed co-pending and commonly owned provisional
patent application, which has been assigned U.S. Patent
Application Ser. No. 60/413,327, entitled "Multi-band
broadband planar wire antennas for wireless communication
handheld terminals," filed on Sep. 25, 2002, and
incorporated herein by this reference.  
  
FIELD OF THE INVENTIONS  
  
[0002] The inventions relate generally to antennas, and more
particularly to planar antennas with multi-band and
broadband functionalities such as may be used with mobile
communication devices and in other compact antenna
applications.  
  
BACKGROUND OF THE
INVENTIONS  
  
[0003] In recent years, there has been a tremendous increase
in the use of wireless communication devices. The increased
use has filled or nearly filled existing frequency bands. As
a result, new wireless frequency band standards are emerging
throughout the world. For example, the existing 1<st >
(1G) and 2<nd > (2G) generation cellular mobile
communication systems operate at:  
  
the AMPS (824-894 MHz) and PCS (1850-1990 MHz) bands in
North America;  
  
the GSM (880-960 MHz) and DCS (1710-1880 MHz) bands in
Europe; and  
  
the PDC (810-915 MHz) and PHS (1895-1918 MHz) bands in
Japan. For future wireless communication systems, such as
the emerging 3rd generation (3G) systems or beyond, new
spectrum may be allocated around 2 GHz (e.g., already
identified 1920-2170 MHz band for UMTS or IMT2000).  
  
[0008] Like cellular mobile communications systems, Wireless
Local Area Networks (WLANs) also use various frequency
bands. IEEE 802.11b, Bluetooth, and HomeRF operate in the
2.4 GHz ISM band (2.400-2.485 GHz). IEEE802.11a and HiperLAN
(in Europe) will use the 5 GHz ISM band (5.15-5.35 GHz and
5.725-5.825 GHz for IEEE802.11a, 5.15-5.25 GHz for HiperLAN1
and 5.15-5.35 GHz for HiperLAN2). Japan has started the
development of standards for WLAN devices in the 5 GHz band.  
  
[0009] As the frequency standards throughout the world
change and evolve, wireless devices that can operate at the
old and the new frequency standards are needed.  
  
[0010] Increased functionality is another factor that drives
the need for wireless devices that can operate at multiple
frequencies. New wireless devices may provide multiple
functions, but one or more of the functionalities may only
be available at a respective one or more different
frequencies from the base operating frequency. Thus, there
is a need for wireless devices that can operate and
implement functionalities at more than one frequency.  
  
[0011] Yet another factor that drives the need for wireless
devices that can operate at multiple frequencies is the
desire of users for multi-functional services that operate
at high data speeds including voice, video, and data
transmissions. A wireless device may provide such services
with automatic access and seamless roaming if the device can
operate across multiple frequency bands.  
  
[0012] The antenna is a key component in the realization of
such a multi-mode wireless device. It is desirable for an
antenna used in a multi-mode wireless device to include
broadband performance for use in successive bands. It is
also desirable for such an antenna to have multi-band
performance for separated bands including far-separated
bands. In addition to broadband and multi-band performance,
it is desirable for such an antenna to be of a small size, a
simple structure, and be of lightweight materials so as to
be easily mounted in a handheld terminal with relatively low
cost. Further, the radiation patterns in all service bands
of such an antenna should be omni-directional and
polarization-mixed to adapt to land-mobile propagation
environments.  
  
[0013] In recent years, a great number of new antenna
structures have been developed for dual-band or triple-band
operations in wireless communication handsets. A simple way
to realize dual-band operation is to directly feed two
antenna elements, each of which has a separate resonant
frequency. For example, a combination of a monopole and a
helical antenna, where the monopole is placed through the
middle of the helix in the axial position and is simply
connected to the end of the helix, has been successfully
applied in GSM/DCS bands. Directly feeding two monopoles
with different lengths can also result in two resonant
frequencies. Another dual-band operation includes
electromagnetically coupling two separate radiating
elements. A coupling dual-band dipole antenna has been
developed for WLAN applications in the 2.4 and 5.2 GHz
bands. By coupling a rectangular element at the high
frequency and an L-shaped element at the lower frequency, a
dual-band operation was achieved for a planar inverted-F
antenna (PIFA). The triple-band operation of the PIFA was
implemented by adding one more L-shaped radiator.  
  
[0014] Usually, a dual-band or triple-band antenna has a
narrow bandwidth at each band. In order to achieve a
broadband multi-band operation, some specific techniques or
additional structures have to be incorporated. For instance,
a broadband dual-band operation could be realized by
properly notching a rectangular patch. The bandwidth of the
higher band for a dual-band PIFA was increased by adding one
more resonator. By introducing a stacked element, by making
the longer and shorter dipoles resonate, respectively, at
slightly below and slightly above the center frequency, or
by adding some parasitic structures, the bandwidth at one of
the two bands of a dual-band antenna may be increased. Yet,
broadband performance is desired at every band of a
multi-band antenna.  
  
[0015] Accordingly, there is a need for multi-band broadband
antennas. In particular, there is a need for multi-band
broadband antennas that are of small size, simple structure,
and lightweight materials so as to be easily mounted in a
handheld terminal with relatively low cost.  
  
SUMMARY OF THE INVENTIONS  
  
[0016] The inventions satisfy the need for multi-band
broadband antennas such as may be used in wireless
communication devices. Examples are presented of a broadband
planar antenna, of two dual-band antennas, and or a
triple-band antenna pursuant to the inventions. The antennas
of the inventions have the advantages of being of simple
structures such that they may be implemented in a small
size, of lightweight materials, and at a relatively low
cost.  
  
[0017] The inventions include an antenna made up of two
inverted-L antennas (ILAs) facing each other across a gap.
This antenna may be referred to as a loop antenna with a
gap. One of the ILAs is fed by an input, and may be directly
fed by a coaxial cable input. The other ILA is
electromagnetically coupled with respect to the fed ILA. The
coupled ILA faces the fed ILA, but is separated from the fed
ILA by a gap. The length of the coupled ILA is longer than
the fed ILA. In particular, the fed ILA, the coupled ILA,
and the gap may be positioned with respect to each other to
form three sides of a square, and may include a ground plane
forming the fourth side of the square. Even more
particularly, each of the ILAs may include a vertical leg of
the same length that are parallel with respect to each
other. Each of the ILAs also may include a horizontal leg,
but the horizontal leg of the fed ILA may be shorter than
the coupled ILA. In other words, the horizontal leg of the
coupled ILA may be longer than the horizontal leg of the fed
ILA.  
  
[0018] The inventions also include a dual-band antenna. An
exemplary dual-band antenna may include an inverted-L
antenna (ILA) referred to as the "first" ILA and another ILA
referred to as the "second" ILA. In this example, the second
ILA is electromagnetically coupled with respect to the first
ILA, faces the first ILA, and is separated from the first
ILA by a gap. The second ILA may be longer than the first
ILA. In addition to the two ILAs, the exemplary dual-band
antenna includes a monopole antenna disposed between the
first ILA and the second ILA, and operative to receive
input. Further, a connection exists between the monopole
antenna and the first ILA to feed input to the first ILA.
The connection may connect to the monopole antenna near its
base and to the first ILA at its base. Each of the ILAs has
a horizontal leg with the horizontal leg of the first ILA
being shorter than the horizontal leg of the second ILA. The
monopole antenna may be shorter than the vertical leg of the
second ILA.  
  
[0019] In addition, the inventions include a triple-band
antenna. An exemplary triple-band antenna may include an
inverted-L antenna (ILA) referred to as the "first" ILA and
another ILA referred to as the "second" ILA. In this
example, the second ILA is electromagnetically coupled with
respect to the first ILA, faces the first ILA, and is
separated from the first ILA by a gap. The second ILA may be
longer than the first ILA. In addition to the two ILAs, the
exemplary triple-band antenna includes a monopole antenna
disposed between the first ILA and the second ILA, and
operative to receive input through a feed probe. Further, a
connection exists between the monopole antenna and the first
ILA to feed input to the first ILA. The connection may
connect to the monopole antenna near its base and to the
first ILA at its base. A conductor is connected to the
monopole antenna opposite to the connection. The conductor
extends horizontally from the monopole antenna towards, but
not reaching, the second ILA. The conductor and the feed
probe combine to form a third ILA in this antenna.  
  
[0020] Further, the inventions include another dual-band
antenna. An exemplary dual-band antenna may include an inner
cut loop antenna encompassed by an outer cut loop antenna.
The inner cut loop antenna may include a "first" inverted-L
antenna (ILA) facing a "second" ILA across a "first" gap.
The first ILA is fed input while the second ILA is
electromagnetically coupled at least to the first ILA. The
outer cut loop antenna includes a "third" ILA facing a
"fourth" ILA across a "second" gap. The third ILA is fed
input via a feed probe and a connection connected to the
first ILA of the inner cut loop antenna while the fourth ILA
is electromagnetically coupled at least to the third ILA. a  
  
BRIEF DESCRIPTION OF THE
DRAWINGS  
  
FIG. 1 illustrates
an exemplary loop antenna with a gap for bandwidth
enhancement according to the inventions.  
  
  
FIG. 2 is a graph of
the Voltage Standing Wave Ratio (VSWR) for the exemplary
antenna of FIG. 1.  
  
  
FIG. 3 illustrates
an exemplary planar dual-band loop-monopole antenna
according to the inventions.  
  
  
FIG. 4 is a graph of
the VSWR for the exemplary antenna of FIG. 3.  
  
  
FIG. 5 illustrates
an exemplary planar triple-band loop-monopole antenna
according to the inventions   
  
  
FIG. 6 is a graph of
the VSWR for the exemplary antenna of FIG. 5.  
  
  
FIG. 7 illustrates
an exemplary planar dual-band loop-loop antenna according to
the inventions.  
  
  
FIG. 8 is a graph of
the VSWR for the exemplary antenna of FIG. 7.  
  
  
DETAILED DESCRIPTION  
  
[0028] The inventions include multi-band broadband planar
antennas such as may be used with mobile communication
devices and in other compact antenna applications.
Advantageously, the inventions provide multi-band broadband
antennas that may be of small size, simple structure, and
lightweight materials so as to be easily mounted in a
handheld terminal with relatively low cost.  
  
FIGS. 1-2-Loop Antenna with
a Gap  
  
[0030] FIG. 1 illustrates an exemplary broadband planar
antenna 10 according to the inventions. In particular, the
exemplary broadband planar antenna 10 may be considered a
square wire loop antenna on a ground plane 11 with a gap 12,
and may be referred to as a loop antenna with a gap. As
explained below, the position of the gap 12 in the loop
affects the bandwidth of the antenna 10.  
  
[0031] The antenna 10 illustrated in FIG. 1 may also be
considered to be comprised of two Inverted-L Antennas (ILAs)
14, 16. In the exemplary embodiment, ILA 14 has a vertical
leg 15 of height H connected at its top at a right angle to
the right to a horizontal leg 18 of length L1. ILA 14 is
directly fed by an input 17 such as a coaxial cable input.  
  
[0032] The other ILA, ILA 16, may be said to face the
directly fed ILA 14. ILA 16 has a vertical leg 22 of height
H parallel to the vertical leg 15 of ILA 14. ILA 16, like
ILA 14, has a horizontal leg 22 connected to the top of its
vertical leg 20 at a right angle. But the horizontal leg 22
of ILA 16 is connected at a right angle to the left of its
vertical leg 20, and the horizontal leg 22 of ILA 16 is of
length L2. In effect, the horizontal leg 18 of ILA 14 faces
the horizontal leg 22 of ILA 16 across the gap 12 of the
antenna 10. ILA 16 further differs from ILA 14 in that ILA
16 is excited by electromagnetic coupling with respect to
the directly fed ILA 14.  
  
[0033] Advantageously, the broadband design of antenna 10 is
achieved by making the length of the coupled ILA 16 longer
than the directly fed ILA 14. Given that the heights of the
vertical legs 15, 20 of the respective ILAs 14, 16 are the
same (as noted, the antenna 10 may be considered a square
loop antenna with a gap), the longer length of the coupled
ILA 16 is achieved by making its horizontal leg 22 longer
than the horizontal leg 18 of the directly fed ILA 14. In
other words, L2 is greater than L1 as illustrated in FIG. 1.  
  
[0034] The relative lengths of the horizontal legs 18, 22
define the position of the gap 12 in the antenna 10. Thus, a
change in the relative lengths causes an adjustment in the
position of the gap 12 in the antenna 10. The shorter the
horizontal leg 18 of the directly fed ILA 14, the closer the
gap 12 in the antenna 10 is to the vertical leg 15 of ILA
14. Conversely, the longer the horizontal leg 18 of the
directly fed ILA 14, the closer the gap 12 is to the
vertical leg 20 of the coupled ILA 16. The position of the
gap 12 affects the bandwidth of the antenna 10.  
  
[0035] FIG. 2 is a graph 24 of frequency (GHz) vs. simulated
Voltage Standing Wave Ratio (VSWR) for the exemplary antenna
10 of FIG. 1 with different gap positions. The simulation
was carried out using the MoM (Method of Moment) based
Numerical Electromagnetics Code (NEC V1.1) and under the
assumption of an infinite ground plane 11. Graph 24 includes
a table 26 with three entries relating to the respective
lengths of the horizontal legs 18, 22 of the ILAs 14, 16
used in the simulation. Each entry includes a measured
length of the horizontal leg 18 of the directly fed ILA 14
and a measured length of the horizontal leg 22 of the
coupled ILA 16. Each entry relates to the simulation and is
plotted on the graph 24. Note, in this example, the gap 12=2
mm.  
  
[0036] FIG. 2 illustrates that as the difference between the
length L2 of the horizontal leg 22 of the coupled ILA 16 and
the length L1 of the horizontal leg 18 of the directly fed
ILA 14 (e.g., L2-L1) decreases, the respective resonant
frequencies for the ILAs 14, 16 (FHI for ILA 14 and FLO for
ILA 16) move closer to each other. The maximum bandwidth for
a certain criterion of VSWR is obtained when all the VSWR
within this frequency band is below the VSWR threshold. For
this example, the bandwidth for a VSWR criterion=2 is
calculated to be 35%. Therefore, the optimum VSWR of 2 or
less is achieved for a very wide bandwidth.  
  
FIGS. 3-4-Dual-Band Antenna  
  
[0038] FIG. 3 illustrates an exemplary dual-band broadband
planar antenna 30 according to the inventions. The antenna
30 of FIG. 3 is similar to the antenna 10 of FIG. 1 in that
each may be considered a square wire loop antenna on a
ground plane 11 with a gap 12. The antenna 30 of FIG. 3
differs and provides dual-band operation by the addition of
a monopole antenna 32 in the middle of the antenna 30 plus
some adjustments. A monopole antenna may also be referred to
as a monopole herein.  
  
[0039] More particularly, like the antenna 10 of FIG. 1, the
antenna 30 of FIG. 3 may be considered to be comprised of
two Inverted-L antennas (ILAs) 34, 36 that face each other
across a gap 12. One of the ILAs 34 is fed input (as
explained below), and the other ILA 36 is
electromagnetically coupled to the fed ILA 34 and/or coupled
with respect to the other parts of the antenna 30. Each of
the ILAs 34, 36 includes a vertical leg, respectively 35,
40.  
  
[0040] The antenna 30, however, differs from the antenna 10
because the antenna 30 has a vertical monopole 32 rising
from the ground plane 11 and centered between vertical legs
25, 30 of the ILAs 34, 36 of the antenna 30. The monopole 32
has a length less than the length (or height) of the
vertical legs 25, 30 of the ILAs 34, 36. The monopole 32 is
fed from an input 33, such as by a coaxial cable input,
which also feeds ILA 34 through a connection 37 from the
monopole 32 to the vertical leg 35 of the ILA 34. For
example, as illustrated in FIG. 3, the input 33 may be
centered between the vertical legs 35, 40 of the ILAs 34, 35
to directly feed the monopole 32 and to feed the ILA 34
through the connection 37 between the monopole 32 and the
vertical leg 35 of the ILA 34.  
  
[0041] In particular, the connection 37 is disposed between
the monopole 32 and the leg 35 of the fed ILA 34 such that
the connection 37 connects near the base or input end of the
monopole 32, runs above and parallel to the ground plane 11,
and connects to the end closest to the ground plane 11 of
the vertical leg 35 of the fed ILA 34. Thus, the fed ILA 34
does not connect to the ground plane 11 in antenna 30. As
illustrated in FIG. 3, the distance between the ground plane
11 and the connection 37 is h1, which may also be referred
to as the height of the connection 37. The length of the
vertical leg 35 of ILA 34 is H2. The length of the vertical
leg 40 of the coupled ILA 36 is h1+H2.  
  
[0042] The introduction of the monopole 32 as part of the
antenna 30 causes additional differences with respect to the
antenna 10 of FIG. 1. For example, the fed ILA 34 of antenna
30 includes a horizontal leg 38 of length L3. The coupled
ILA 36 of antenna 30 includes a horizontal leg 42 of length
L4. The respective lengths of L3 and L4 may need adjustment
(as compared to their analogous parts in antenna 10) due to
the connection 37. The monopole 32 is designed for resonance
at a higher frequency than the ILAs. The height (h1) of the
connection 37 is optimized for an optimal VSWR. Note that
the connection 37 (which may be a wire) has a negligible
contribution to the radiation fields due to its proximity
(h<<H2) to the ground plane 11 (the radiation fields
from the connection 37 will be cancelled by its image below
the ground plane). This is the reason why only a slight
adjustment may be needed for the position of the gap 12.  
  
[0043] FIG. 4 is a graph 44 of frequency (GHz) vs. simulated
Voltage Standing Wave Ratio (VSWR) for the exemplary antenna
30 of FIG. 3. The graph 44 illustrates the calculated VSWR
for a dual-band operation in 1 GHz and 2 GHz bands where
L3=12 mm; L4=36 mm; H2=46 mm; h1=4 mm; the gap 12=2 mm; the
monopole=41 mm (from the connection 37 to the end of the
monopole opposite the ground plane); and the wire radius=1
mm.  
  
[0044] Graph 44 illustrates there are two distinct
bandwidths where the VSWR is less than 2: a lower area 46
and an upper area 48. Advantageously, the upper area 48
stretches over a wide band of frequencies. The VSWR in the
upper area (or higher band) 48 is quite low and has a flat
variation (VSWR<=1.5 from 1.6 to 2.5 GHz). Such a dual
and broadband antenna is suitable for use in AMPS/PCS,
GSM/DCS, PDC/PHS, IMT2000 and 2.4 GHz ISM band WLAN.  
  
FIGS. 5-6-Triple-Band
Antenna  
  
[0046] FIG. 5 illustrates an exemplary triple-band broadband
planar antenna 50 according to the inventions. A triple-band
antenna may be particularly advantageous so as to be used in
connection with the 5 GHz ISM band for WLAN applications in
mobile devices and other units.  
  
[0047] The antenna 50 of FIG. 5 is similar to the antenna 30
of FIG. 3, but for the addition of a wire (also referred to
as conductor) 51 that is connected to the monopole antenna
52 opposite to the connection 57 between the monopole
antenna 52 and the vertical leg 55 of the ILA 54. The
addition of the conductor 51 allows for triple band
operation of the antenna 50.  
  
[0048] Particularly, the antenna 50 of FIG. 5 may be
considered to be comprised of two Inverted-L antennas (ILAs)
54, 56 that face each other across a gap 12. ILA 54 includes
a vertical leg 55 and horizontal leg 58, which is of length
L5. ILA 56 includes a vertical leg 60 and a horizontal leg
62, which is of length L6.  
  
[0049] A vertical monopole antenna 52 is disposed between
the ILAs 54, 56. The monopole 52 is fed through a feed probe
59 from an input 53, which also feeds ILA 54 through a
connection 57 from the monopole 52 to the vertical leg 55 of
the ILA 54. The connection 57 connects near the base or
input end of the monopole 52, runs above and parallel to the
ground plane 11, and connects to the end closes to the
ground plane 11 of the vertical leg 55 of the fed ILA 54. As
illustrated in FIG. 5, the distance between the ground plane
11 and the connection 57 is h2. In the exemplary embodiment,
the feed probe 59 between the input 53 has the height of h2.
The length of the vertical leg 55 of ILA 54 is H3. The
length of the vertical leg 60 of ILA 56 is h2+H3. ILA 56 is
electromagnetically coupled to ILA 54 and/or may be coupled
to the other parts of the antenna 50.  
  
[0050] As noted, a wire or conductor 51 is connected to the
monopole antenna 52 opposite to the connection 57. The
conductor 51 extends horizontally from the monopole 52 in
the direction of, but does not reach, the vertical leg 60 of
the ILA 56. The conductor 51 with the feed probe 59 acts as
an ILA and allows for three band operation of antenna 50. In
the example described in connection with FIGS. 5 and 6, the
ILA composed of the conductor 51 and the feed probe 59 acts
with respect to the 5 GHz band. Given its configuration
including the 2 ILAs 54, 56 forming a loop (but for the gap
12), the monopole 52, and the ILA composed of the conductor
51 and the feed probe 59, the antenna 50 may be referred to
as a triple-band loop-monopole-ILA. Note that the radiation
contribution from the connection 57 and/or the conductor 51
is no longer negligible in the 5 GHz band since h2 becomes
comparable to a fraction of one wavelength in this example.  
  
[0051] FIG. 6 is a graph 64 of frequency (GHz) vs. simulated
Voltage Standing Wave Ratio (VSWR) for the exemplary antenna
50 of FIG. 5. The graph 64 illustrates the calculated VSWR
for a triple-band operation where L5=12 mm; L6=36 mm; H3=46
mm; the gap=2 mm; the monopole 52=10 mm; the conductor 51=10
mm; and the wire radius=1 mm.  
  
[0052] Advantageously, a third, additional broadband (38%)
is obtained in the 5 GHz band (or band 3) over the previous
exemplary antenna 30 described in connection with FIGS. 3-4.
This broadband performance also benefits from a combination
of the fundamental mode of the additional ILA (the conductor
51 and the feed probe 59) and the high-order modes of the
two ILAs 54, 56 and the monopole 52. The addition of the ILA
(the conductor 51 and the feed probe 59) does not affect the
broadband performance of the original dual-band antenna
(antenna 30) in the lower 1 GHz and 2 GHz bands.  
  
FIGS. 7-8-Dual-Band
Loop-Loop Antenna  
  
[0054] FIG. 7 illustrates another exemplary dual-band
broadband planar antenna 70 according to the inventions. In
some applications, an antenna may only need to cover the 2
GHz and 5 GHz bands. In such circumstances, the physical
size of the antenna may be reduced, but there is a need to
increase the bandwidth of the lower band in order to cover
all the mobile communication and WLAN applications in the 2
GHz band. This need can be satisfied through an introduction
of two cut loops, which results in a dual-band loop-loop
antenna. An example of such an antenna is shown in FIG. 7.  
  
[0055] The exemplary antenna 70 of FIG. 7 includes an inner
cut loop 71 and an outer cut loop 72. As the terms imply,
the inner cut loop 71 is set within the outer cut loop 72.
The inner cut loop 71 includes two ILAs 73, 74, which are
positioned with respect to each other (like in the
previously described antenna examples) so that the ILAs face
each other across a gap 75. The outer cut loop 72 also
includes two ILAs 76, 77, which are also positioned so that
the ILAs face each other across a gap 78.  
  
[0056] Both the inner cut loop 71 and the outer cut loop 72
include an ILA that is fed input 79 with the other ILA in
the loop being electromagnetically coupled. With respect to
the inner cut loop 71, the ILA 73 is directly fed while the
ILA 74 is electromagnetically coupled. With respect to the
outer cut loop 72, the ILA 77 is fed from input 79 via feed
probe 80 and connection 81. The configuration of the feeding
of ILA 77 is similar to the feeding of ILA 54 as described
in connection with antenna 50 shown in FIG. 5.  
  
[0057] Further, the coupled ILA 74 of the inner cut loop 71
has a vertical leg 82 of height H5 and a horizontal leg 83
of L10. The fed ILA 73 of the inner cut loop 71 has a
vertical leg 84 whose height, when combined with the height
of the feed probe 80, equals the height of the vertical leg
82 of the coupled ILA 74. The fed ILA 73 also has a
horizontal leg 85 of length L9.  
  
[0058] The fed ILA 77 of the outer cut loop 72 has a
vertical leg 86 of a height H4. The fed ILA 77 also has a
horizontal leg 87 of length L7, which is also the length of
the connector 81. The coupled ILA 76 of the outer cut loop
72 has a vertical leg of a height H4+h3 where h3 is the
height of the connector 81 between the fed ILA 73 of the
inner cut loop 71 and the fed ILA 77 of the outer cut loop
72. The coupled ILA 76 has a horizontal leg of length L8.  
  
[0059] The simulated VSWR of the exemplary dual-band
loop-loop antenna 70 is plotted in the graph 94 shown in
FIG. 8. The bandwidth of the lower band is increased to 44%
from 31% and the bandwidth of the higher band keeps 55%. The
increase in the bandwidth in the lower band (band 1) is
attributed to the combination of three resonant frequencies,
which respectively correspond to three ILAs: the fed ILA 77
of the outer cut loop 72; the coupled ILA 76 of the outer
cut loop 72; and the coupled ILA 74 of the inner cut loop
71. The fed ILA 73 of the inner cut loop 71 has a similar
function in the antenna 70 shown in FIG. 7 as the monopole
antenna 52 in FIG. 5, which leads to a broadband performance
in the higher band (band 2).  
  
CONCLUSION  
  
[0060] Advantageously, the features and functions of the
inventions described herein allow for their use in many
different manufacturing configurations. For applications in
a wireless communication handheld terminal (e.g., a mobile
phone handset), an antenna per the inventions can be printed
on a printed circuit board (PCB) or an electrically thin
dielectric substrate (e.g. RT/duroid 5880). The printed
piece can be mounted either (a) at the top of the handset
backside or (b) at the bottom of the front side of the
handset. The top-mounted configuration can serve as a "flip"
cover of the handset while the bottom-mounted mouthpiece can
be integrated with a microphone.  
  
[0061] From the foregoing description of the exemplary
embodiments of the inventions and operation thereof, other
embodiments will suggest themselves to those skilled in the
art. Therefore, the scope of the inventions is to be limited
only by the claims below and equivalents thereof.  
  


---

  

US 2003107518  
Folded shorted patch
antenna

  
Inventor(s):     LI RONGLIN [US]; LASKAR JOY
[US]; TENTZERIS EMMANOUIL [US] + (LI RONGLIN, ; LASKAR JOY,
; TENTZERIS EMMANOUIL)  
Applicant(s):     LI RONGLIN, ; LASKAR JOY, ;
TENTZERIS EMMANOUIL  
Classification: - international: H01Q1/24; H01Q5/00;
H01Q9/04; (IPC1-7): H01Q1/24 - European:    
H01Q1/24A1A; H01Q5/00C; H01Q9/04B1; H01Q9/04B2  
  
Abstract -- A patch
antenna is described that includes a ground plane, a first
shorting structure in contact with the ground plane, a first
conductor plate in contact with the first shorting
structure. The patch antenna can also include a second
shorting structure in contact with the ground plane, and a
second conductor plate in contact with the second shorting
structure and forming a radiation slot with the first
conductor plate. Other devices and methods are herein
provided for.  
  
TECHNICAL FIELD  
  
[0002] The present invention is generally related to
communications, and, more particularly, is related to
antennas.  
  
BACKGROUND OF THE INVENTION  
  
[0003] In modern mobile and wireless communications systems,
there is an increasing demand for smaller low-cost antennas.
This is especially true for handheld wireless applications,
such as in mobile phone handsets or Bluetooth chips, where a
package-integrated antenna may be desirable. It is well
known that planar structures such as microstrip patch
antennas have a significant number of advantages over
conventional antennas, such as low profile, light weight and
low production cost. However, in some practical wireless
communications systems such as Global System for Mobile
Communications (GSM) 1800, Personal Communications Service
(PCS) 1900, wideband code division multiple access standard
IMT 2000, or Bluetooth ISM (Industrial, Scientific, and
Medical), the physical size of planar structures may be too
large for integration with radio frequency (RF) devices.  
  
[0004] One type of antenna suitable for use with personal
communications devices is the conventional patch antenna
100, shown in a side view in FIG. 1. The patch antenna 100
(here a [lambda]0/2 patch antenna) comprises a ground plane
102, a patch (or a conductor plate) 104, and a feed 106. It
is well known that a conventional patch antenna operating at
the fundamental mode, Transverse Magnetic (TM) mode TM01,
has an antenna length of [lambda]0/2. The length of the
patch is set in relation to a wavelength [lambda]0
associated with the resonant frequency f0. A number of
techniques have been proposed to reduce the size of
conventional half-wave ([lambda]0/2, where [lambda]0 is the
guide wavelength in the substrate) patch antennas. One
approach is to use a high dielectric constant substrate
(e.g., between the patch 104 and the ground plane 102).
However, such an approach often leads to poor efficiency and
narrow bandwidth.  
  
[0005] Shorting structures (e.g., shorting posts, shorting
walls) also have been used in different arrangements to
reduce the overall size of the patch antenna. Considering
that the electric field is zero for the TM01 mode at the
middle of the patch 104, the patch 104 along its middle line
can be shorted with a metal wall without significantly
changing the resonant frequency of the patch antenna 100.
FIG. 2 illustrates a conventional shorted patch antenna 200
that includes a patch 204 that is shorted to the ground
plane 202 with a metal wall 208. This shorted patch antenna
200 includes a patch 204 with a length of [lambda]0/4.
Further patch size reduction measures include using a
shorting pin (not shown) near the feed 206. The
size-reduction technique using a shorting pin has been
applied to the design of small patch antennas for 3G
IMT-2000 mobile handsets.  
  
[0006] A planar invert-F antenna (PIFA) is one of the most
well-known and documented small patch antennas. Actually,
the PIFA can be viewed as a shorted-patch antenna. Therefore
the antenna length of a PIFA is generally less than
[lambda]0/4. When a shorting post is located at a corner of
a square plate, the length of the PIFA can be reduced to
[lambda]0/8. The size of a PIFA can be also reduced by
loading it. Recent research efforts on the size reduction of
patch antennas have focused on patch-shape optimization to
increase the effective electric length of the patch. For
example, by notching a rectangular patch, the antenna length
can be reduced to less than [lambda]0/8. A printed antenna
with a surface area 75% smaller than a conventional
microstrip patch was obtained by incorporating strategically
positioned notches near a shorting pin. However, the demand
for a further reduction in size while preserving or
improving some performance characteristics of larger
antennas still exists.  
  
[0007] Thus, a need exists in the industry to address the
aforementioned and/or other deficiencies and inadequacies.  
  
SUMMARY OF THE INVENTION  
  
[0008] The preferred embodiments of the present invention
provide for a patch antenna. Briefly described, one
embodiment of the patch antenna, among others, can be
implemented as follows. The patch antenna includes a ground
plane, a first shorting structure in contact with the ground
plane, a first conductor plate in contact with the first
shorting structure, a second shorting structure in contact
with the ground plane, and a second conductor plate in
contact with the second shorting structure and forming a
radiation slot with the first conductor plate.  
  
[0009] The preferred embodiments of the present invention
also include, among others, a method for making a patch
antenna. One method can generally be described by the
following steps: connecting a first conductor plate to a
ground plane with a first shorting structure, the first
conductor plate substantially parallel to the ground plane,
the first conductor plate having an electrical length of
approximately [lambda]0/16; and connecting a second
conductor plate to the ground plane with a second shorting
structure, the second conductor plate substantially parallel
to the first conductor plate, the second conductor plate
having an electrical length of approximately [lambda]0/16,
the second conductor plate forming a radiation slot with the
first conductor plate.  
  
[0010] Other systems, methods, features, and advantages of
the present invention will be or become apparent to one with
skill in the art upon examination of the following drawings
and detailed description. It is intended that all such
additional systems, methods, features, and advantages be
included within this description, be within the scope of the
present invention, and be protected by the accompanying
claims.  
  
BRIEF DESCRIPTION OF THE
DRAWINGS  
  
[0011] Many aspects of the invention can be better
understood with reference to the following drawings. The
components in the drawings are not necessarily to scale,
emphasis instead being placed upon clearly illustrating the
principles of the present invention. Moreover, in the
drawings, like reference numerals designate corresponding
parts throughout the several views.  
  
FIG. 1 is a side view of a
prior art patch antenna.  
  
  

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)

FIG. 2 is a side view of a
prior art shorted patch antenna.  
  
FIGS. 3A-3B are
front and rear view schematic diagrams of a portable
telephone that incorporates a folded shorted patch (FSP)
antenna, in accordance with one embodiment of the invention.  
  
  
FIGS. 4A-4B are side
views demonstrating one method for making the FSP antenna of
FIG. 3B, in accordance with one embodiment of the invention.  
  
  
FIG. 5A is an
isometric view of the FSP antenna depicted in FIG. 4B, in
accordance with one embodiment of the invention.  
  
  
FIG. 5B is a Smith
chart showing the input impedance of the FSP antenna of FIG.
5A fed at different lower patch locations, in accordance
with one embodiment of the invention.  
  
  
FIGS. 6-8 are graphs
showing the effect on return loss and resonant frequency
when modifying the shape parameters of the FSP antenna of
FIG. 5A, in accordance with one embodiment of the invention.  
  
  
FIGS. 9A-9B are
graphs showing the radiation patterns of the FSP antenna of
FIG. 5A after modifying the height parameters, in accordance
with one embodiment of the invention.  
  
  
FIGS. 10A-10C are
side views illustrating the process of unfolding a folded
shorted patch (S-P) antenna to arrive at a transmission
model, in accordance with one embodiment of the invention.  
  
  
FIG. 10D is the
transmission model of the unfolded S-P antenna derived from
unfolding operations depicted in FIGS. 10A-10C, in
accordance with one embodiment of the invention.  
  
  
FIGS. 11A-11C are
Smith charts comparing the theoretical and numerical input
impedance of the unfolded S-P antennas and folded S-P
antennas depicted in FIGS. 10A-10C, in accordance with one
embodiment of the invention.  
  
  
FIG. 12 is a graphical illustration of the
suseptance and capacitance versus various resonant
frequencies of the unfolded S-P antennas and folded S-P
antennas depicted in FIGS. 10A-10C, in accordance with one
embodiment of the invention.  
  
  
FIG. 13 is a graph showing the simulated results
for input impedance versus frequency for the FSP antenna
using a lumped capacitor, in accordance with an alternate
embodiment of the invention.  
  
  
FIG. 14 is a graph showing the difference between
simulated and measured return loss versus resonance
frequency for one example FSP antenna implementation, in
accordance with one embodiment of the invention.  
  
  
FIGS. 15A-15B are graphs showing the radiation
patterns of the simulated versus measured results of the FSP
implementation described in association with FIG. 14, in
accordance with one embodiment of the invention.  
  
  
  
DETAILED DESCRIPTION OF THE
PREFERRED EMBODIMENTS  
  
[0027] The preferred embodiments of the invention now will
be described more fully hereinafter with reference to the
accompanying drawings. One way of understanding the
preferred embodiments of the invention includes viewing them
within the context of a personal communications device, and
more particularly within the context of an antenna for a
portable telephone. However, it is noted that the preferred
embodiments can be viewed within other contexts, such as for
use in cellular handsets, sensors for monitoring, and
wireless smart cards, among other example contexts that use
antennas for transmitting and/or receiving signals over a
medium.  
  
[0028] In the description that follows, a folded shorted
patch (FSP) antenna will be described that is reduced in
size compared to conventional patch antennas. By folding a
shorted rectangular patch, the resonant length of the
antenna can be reduced from [lambda]0/4 to [lambda]0/8. A
further decrease of as much as more than 50% in the resonant
length may be achieved through adjusting the width of the
shorting walls and the heights of the folded patches. Thus
the overall electrical length (less than [lambda]0/16) of
the FSP antenna can be eight times shorter than the length
of a conventional patch ([lambda]0/2). A brief note about
the term electrical length can be described as follows. For
example, if a patch with a physical length of 150
millimeters (mm) can operate at 1 gigahertz (GHz)
([lambda]0=300 mm), then the electrical length of this patch
will be understood to be [lambda]0/2. But if the patch with
the same physical length (150 mm) can operate at 500
megahertz (MHz) ([lambda]0=600 mm), the electrical length of
the same patch is now [lambda]0/4.  
  
[0029] A structure of the FSP antenna for a personal
communications device will be described below. One method
for making the FSP antenna will also be described, as well
as some numerical simulations described that are recorded in
a series of graphs illustrating input impedance, radiation
patterns, and the effect on return loss and resonant
frequency when various elements of the FSP antenna are
modified. This discussion is followed by a theoretical
analysis based on a transmission-line model created by
unfolding a folded shorted patch antenna, and then a
comparison of the theoretical versus numerical simulations
is discussed and illustrated. The FSP antenna operation for
reducing resonant frequency is analyzed by considering the
antenna as a shorted patch loaded with a capacitive device,
followed by an example implementation of an FSP antenna.  
  
[0030] FIGS. 3A and 3B illustrate one example implementation
for the FSP antenna. Specifically, FIG. 3A depicts a front
view of a portable phone 300 having a speaker 308, a
microphone 312, a display 316, and a keyboard 320, as well
as internal transceiver circuitry not shown. FIG. 3B is a
rear view of the portable phone 300 shown in FIG. 3A showing
an FSP antenna 504 preferably mounted to the back of the
portable phone 300 to reduce the specific absorption rate
(SAR) potentially absorbed in the head of a user. The length
of the FSP antenna 504 determines its resonant frequency.
For example, a quarter wave (i.e., [lambda]0/4) patch
antenna having a length L will resonate at a frequency of
c/4L, where c equals the speed of light. At or near the
resonant frequency is where the FSP antenna 504, or patch
antennas in general, radiate most effectively.  
  
[0031] FIGS. 4A-4B show a series of side views demonstrating
one mechanism for making the FSP antenna structure via a
series of folding operations, in accordance with one
embodiment of the invention. FIG. 4A shows a folded shorted
patch antenna 400 that demonstrates the steps of folding
over the patch 404 together with the ground plane 402. The
example folded shorted patch antenna 400 includes a lower
shorting wall 408 and a feed probe 406. The total resonant
length of the folded shorted patch antenna 400 is still
[lambda]0/4. That is, the length spanning from the shorting
wall formed by folding the ground plane 402 (referenced as
the upper shorting wall 510 in FIG. 4B) to the radiating
slot entrance is [lambda]0/4, which indicates that the
resonant frequency of an FSP antenna 504 (FIG. 4B) is
similar to that of a conventional shorted patch antenna 200
(FIG. 2), as is borne out in numerical simulations and
theoretical analysis. The actual length (i.e., electrical
length) of the folded patch 404 has been reduced through the
folding operation by 50% to [lambda]0/8.  
  
[0032] With continued reference to FIG. 4A, and referring
now to FIG. 4B, by adding a new piece of the ground plane to
the right of the folded ground plane 402 and pressing the
folded patch 404 together to form a lower patch 505, a
folded shorted patch antenna 504 is produced. Note that the
original right part of the folded ground plane 402 (FIG. 4A)
now serves as an upper shorting wall 510 and an upper patch
512 of the folded shorted patch antenna 504. The space
between the upper patch 512 and the lower patch 505 comprise
a radiating slot from which electromagnetic energy is
concentrated and transmitted and/or received.  
  
[0033] FIG. 5A depicts a general structure of the FSP
antenna 504 shown in FIG. 4B. For simplicity, the
discussions that follow will assume an implementation for
the FSP antenna 504 in free space (i.e., an air dielectric
substrate is approximated as a free space). The FSP antenna
504 includes a ground plane 502, a lower patch 505, an upper
patch 512, a lower shorting wall 508, an upper shorting wall
510, and a feed probe 506. The ground plane 502 is
preferably made of a conductive material such as aluminum,
copper, and/or gold. The ground plane 502 is separated from
the lower patch 505 by a dielectric substrate. The
dielectric substrate described herein will be air, but can
be glass or practically any other dielectric substrate.  
  
[0034] The lower patch 505 is approximately parallel to the
ground plane 502, and is shown with dimensions of width W1,
length L1, and a height h1 from the ground plane 502. One
end of the lower patch 505 is in contact with the ground
plane 502 via the lower shorting wall 508. The lower
shorting wall 508 is shown with dimensions of width d1.  
  
[0035] A feed probe 506 can be electrically connected to the
lower patch 505. The feed probe 506, which can be a coaxial
cable, passes through the ground plane 502 and contacts the
lower patch 505. For example, a coaxial cable having an
inner and outer conductor will be connected to the lower
patch 505 using the inner conductor (e.g., feed probe, with
no connection to the ground plane) and the outer conductor
will connect to the ground plane 502. The feed probe 506
connects a signal unit (not shown) to the lower patch 505 at
various distances (yp) from the lower shorting wall 508 in
the y-direction. The signal unit can be connected to the
lower patch 505 in other ways, such as via a microstrip or a
transmission line. The signal unit provides a signal of a
selected frequency band to the lower patch 505, which
creates a surface current in the lower patch 505. The
density of the surface current is high near the region of
the lower patch 505 in proximity to where the feed probe 506
contacts the lower patch 505. This current density decreases
gradually along the length of the lower patch 505 in a
direction away from the point where the feed probe 506
contacts the lower patch 505.  
  
[0036] The FSP antenna 504 can be adjusted to match a
defined feed input impedance, for example a 50-[Omega] feed,
by changing the position of the feed probe 506. The input
impedance of the FSP antenna fed at different positions (yp)
is plotted in a Smith chart shown in FIG. 5B, with position
adjustment in the x-direction having little effect on the
impedance match. As shown, the impedance locus shrinks in
size as the feed point moves closer to the lower shorting
wall 508 (FIG. 5A). The asymmetry of the impedance locus
about the x=0 axis in the Smith chart is due to the
feed-probe reactance, which when read from the impedance
locus is found to be near j25 [Omega].  
  
[0037] Returning to FIG. 5A, the FSP antenna 504 also
includes an upper patch 512 that is approximately parallel
to the lower patch 505. The upper patch 512 serves as a
coupling patch (i.e., it is not fed by direct physical
contact to a feed line or feed probe, but instead is excited
through electromagnetic coupling). The upper patch 512 is
shown with dimensions of width W2, length L2, and a height
h2 from the lower patch 505. The upper patch 512 is in
contact with the ground plane 502 via the upper shorting
wall 510. The upper shorting wall 510 is shown with a width
of d2. The electric field of the FSP antenna 504 is
concentrated in the gap (i.e., radiation slot) between the
lower and upper patches (505, 512). Surface-current
distributions primarily occur on the top face of the lower
patch 505, with smaller surface current distributions
occurring on the inside face of the upper shorting wall 510.
An electric-field concentration also exists between the edge
of the lower patch 505 (the edge closest to the upper
shorting wall 510) and the upper shorting wall 510. This is
due at least in part to the effects of the relatively sharp
edge of the lower patch 505 and the short distance between
the edge and the upper shorting wall 510. Increasing the
distance between the edge and the upper shorting wall 510
(i.e., a shortened L1) can improve the impedance bandwidth
of the FSP antenna 504.  
  
[0038] With continued reference to FIG. 5A throughout the
discussion of FIGS. 6-8 that follow, the resonant frequency
of the FSP antenna 504 can be lowered by slightly modifying
the shape parameters of the FSP antenna 504, such as by
reducing the widths of the two shorting walls 508 and 510
and/or adjusting the heights h1, h2 of the lower and upper
patches 505, 512. FIGS. 6-8 provide illustrations of the
effects on return loss and resonant frequency when
simulating the modification of these dimensions through
numerical analysis (e.g., via well-known transmission line
match (TLM) and finite differential time domain (FDTD)
simulations). FIG. 6 shows the simulated effects on resonant
frequency and return loss with a varying d1 dimension. For
example, the width (d1) of the lower shorting wall 508 is
reduced while setting and maintaining the width (d2) of the
upper shorting wall 510 to be d2=W2 and the heights
(h1=h2=1.5 millimeters (mm)) of the lower and upper patches
505, 512. As shown, the resonant frequency (shown at the
inverted peaks) decreases as the width (d1) of the lower
shorting wall 508 becomes narrower (i.e., from 10 mm to 2
mm). Continuing the analysis, while setting and maintaining
d1=2 mm, the width of the upper shorting wall (d2) can be
changed, the effect of which is shown in FIG. 7. Again, the
resonant frequency further decreases as d2 reduces. One
reason for the decrease of the resonant frequency with a
reduction of the widths of the shorting walls (508, 510) is
an increase in the inductance of the upper and lower patches
(505, 512).  
  
[0039] FIG. 8 demonstrates the effects of simulating an
adjustment in the height (h1) of the lower patch 505 while
setting and maintaining d1=d2=2 mm and the total FSP antenna
height (h1+h2)=3 mm. The variation of the return loss with
h1 and the difference in resonance frequency is as shown. It
is noted that a variation in h1 has a more significant
impact on the resonant frequency than changes in d1 and d2.
As the lower patch 505 moves toward the upper patch 512, the
resonant frequency decreases. When the distance between the
lower and upper patches (505, 512) is less than [1/5] of the
total FSP antenna height, the resonant frequency reduces by
more than a half of 3.6 GHz. One reason for the decrease in
the resonant frequency with increase in h1 (or a decrease in
the distance between the lower and upper patches (505, 512))
is due to an enhancement of the capacitive coupling between
the lower and upper patches (505, 512) as the upper and
lower patches are brought closer to each other.  
  
[0040] The position of the feed probe 506 will typically be
adjusted for different antenna shape parameters to match,
for example, a 50-[Omega] feed. Usually the radiation
resistance increases with a decrease in antenna thickness
and patch width because the radiated power decreases. Thus,
the resonant resistance increases as the resonant frequency
decreases. For the FSP antenna 504, the more the resonant
frequency is reduced by varying the antenna shape
parameters, the closer the feed probe position is shifted to
the lower shorting wall 508.  
  
[0041] The simulated radiation patterns at resonant
frequencies for h1=0.5 mm at 3.63 GHz and with h1=2.5 mm at
1.65 GHz are shown in FIGS. 9A and 9B. As shown in FIG. 9A,
the radiation pattern represents the far-zone field in the
x-z plane of a Cartesian coordinate system (x,y,z) while
FIG. 9B includes a radiation pattern that represents the
far-zone field in the y-z plane. In each plane, the far-zone
field includes two orthogonal components E[phi] and
E[theta]. E[phi] in the y-z plane is zero due to symmetry,
and thus there are only two lines indicated in FIG. 9B. For
comparison, the radiation patterns at two different
frequencies are plotted in each graph. The radiation
patterns for the h1=0.5 mm case is depicted using a solid
line, and the h1=2.5 mm case is depicted with a dotted line.
The magnitude of electromagnetic energy, |E|, is in units of
decibels (dB). The cross-polarized component is shown in
FIG. 9A, and illustrates a more pronounced difference
between the two cases: a lower h1 corresponds to a higher
cross-polarized level. Usually the cross polarized level
increases with antenna thickness (i.e., total antenna
height). When h1 decreases, h2 increases and the resonant
frequency increases. As a result, the width of the radiating
slot (h2) further increases electrically, thus causing an
increase in the cross-polarized level.  
  
[0042] In the section that follows, the FSP antenna 504
(FIG. 5A) is described analytically by employing a
transmission-line model. Also a qualitative analysis of the
resonant frequency of the FSP antenna 504 is presented of
the FSP antenna operation.  
  
[0043] FIGS. 10A-10C present the FSP antenna 504 with three
different patch-height arrangements, shown in FIGS. 10A-10C
under the column heading, "folded S-P" (shorted patch): Case
I (h1=h2=1.0 mm), Case II (h1=0.5 mm, h2=1.0 mm), and Case
III (h1=1.0 mm, h2=0.5 mm). The "folded S-P" is unfolded to
arrive at an "equivalent" (i.e., equivalent for transmission
line analysis purposes) unfolded shorted patch (under the
column heading, "unfolded S-P") configuration associated
with these three cases. Neglecting the effect of
discontinuities, the "unfolded S-P" can be represented by a
transmission-line equivalent circuit as shown in FIG. 10D.
The input impedance of the "unfolded S-P" based on this
equivalent circuit is obtained as follows:  
Zin=jXf+Z1 (1)  
  
[0044] where Xf is the feed-probe reactance given by  
  
EMI1.1  
  
[0045] with [beta]=2[pi]/[lambda]0 and rp=the feed-probe
radius. Z1 (=1/Y1) is obtained from the transmission-line
equivalent circuit, that is,  
  
EMI2.1  
  
[0046] where Y01 and Y02 are respectively the characteristic
admittance of the lower and upper patches, and Ys=Gs+jBs.
Here, Gs is the conductance associated with the power
radiated from the radiating edge (or the radiating slot),
and Bs is the susceptance due to the energy stored in the
fringing field near the edge of the patch. In the
calculations described herein, the following equations for
Y(=Y01 for h=h1 or Y02 for h=h2), Gs, and Bs were used:  
  
EMI3.1  
  
Bs=Y02 tan([beta][Delta]l) (7)  
  
EMI4.1  
  
[0047] where W is the width of the patch and coefficients
[zeta]1, [zeta]3, [zeta]4, [zeta]5 can be found in the
reference entitled, "Microstrip antenna design handbook", by
R. Garg et al., 2001, which is herein incorporated by
reference.  
  
[0048] The theoretical results for the input impedance are
obtained using the above analytical expressions and compared
in FIGS. 11A-11C with numerical simulations for the above
three cases. Note that the numerical results are obtained
for the "folded S-P" shown in FIGS. 10A-10C. The theoretical
and numerical results are in good agreement. The difference
between the theoretical and simulated resonant frequencies
is less than 3%. Also, it is again noted that the resonant
frequency decreases as h2/h1 decreases. This can be
explained qualitatively as follows. For simplicity, the
effects of YS(YS<<Y0 in practice) and Xf (focusing on
the resonance of the patch alone) are neglected. As a result
the "unfolded S-P" becomes a shorted transmission line
loaded with an open transmission line. Assume that the
resonant frequency is almost independent of the feeding
position, yp=L1 Thus, Y1 becomes  
  
EMI5.1  
  
[0049] At resonance, Y1=0 leads to  
  
Y01/tan([beta]L1)=Y02 tan([beta]L1) or tan([beta]L1)={square
root}{square root over (Y01/Y02)} (10)  
  
[0050] From equation 5 above, note that Y0 is inversely
proportional to h; therefore, from equation 10, it is
determined that the resonant frequency varies proportionally
with h2/h1. A graphical solution of equation 10 for resonant
frequency is depicted in FIG. 12, where the intersection of
the curves Y01/tan([beta]L1) and Y02 tan([beta]L1) implies a
resonant point. FIG. 12 includes a plot of suseptance versus
[beta]L1. Note that if Y01=Y02, then [beta]L1=[pi]/4
corresponds to an antenna length of L1=[lambda]0/8. Also
note that an increase in Y02 leads to a decrease in [beta]L1
if Y01 remains unchanged.  
  
[0051] With continued reference to FIGS. 10A-10C,
considering the upper patch as a capacitive load provides
additional insight for the above analysis. Replacing the
upper patch with a capacitor C (not shown), which is
connected between the radiating edge of the lower patch and
the ground plane of the folded S-P antenna shown in FIGS.
10A-10C, equation 9 becomes  
  
Y01/tan([beta]L1)=[omega]C. (11)  
  
[0052] A graphical solution of equation 11 is also plotted
in FIG. 12. As noted, the resonant frequency increases as
the capacitance C increases. The resonant length of a
capacitively loaded shorted patch will reduce to
L1=[lambda]0/8 if the loaded capacitance is C=Y01/[omega]0,
where [omega]0=3[pi]/(4L1)\*10<8 >rad-s<-1 >is
obtained from [beta]L1=/4[pi]. A decrease in h2 is
equivalent to an increase in the coupling capacitance
between the upper and lower patches, thus eventually leading
to a decrease in the resonant frequency.  
  
[0053] Equation 11 suggests an alternate embodiment for the
FSP antenna 504 (FIG. 5A), wherein the resonant frequency
can be reduced using a lumped capacitive load (e.g., a
lumped capacitor between the radiating edge of the lower
patch 505 and the ground plane 502 of the FSP antenna 504 of
FIG. 5A, as described above). The simulated results for
input impedance versus frequency are shown in FIG. 13,
wherein the resistance is shown with a sold line and the
reactance is shown with a dashed line. As expected, the
resonant frequency decreases with an increase in the loaded
capacitance. Comparing FIGS. 12 and 13, it is noted that the
proportional relationship of the resonant frequencies among
C=0.3, 0.6, and 1.2 picofarad (pf) is very similar to that
(about 3:4:5) read from the graphical solutions of equation
11 when C=(Y01/[omega]0)/2, C=Y01/[omega]0, and
C=2Y01/[omega]0. This demonstrates agreement between the
numerical investigation and theoretical analysis described
above.  
  
[0054] As one example implementation, a test FSP antenna was
integrated in the package of a Bluetooth chip operating in
the Bluetooth ISM band (2.4-2.483 GHz). The test FSP antenna
was fabricated with a brass sheet with a thickness of 0.254
mm. The following FSP antenna dimensions were chosen: 15
mm\*15 mm ( [lambda]0/8\*[lambda]0/8). To achieve the
bandwidth (near 4%) required by the Bluetooth
specifications, the total thickness of the antenna was
selected to be 6 mm. By adjusting the height (h1) of the
lower patch to 2.85 mm, the resonant frequency can be tuned
to approximately 2.44 GHz. The simulated and measured
results for the return loss are plotted in FIG. 14. As
shown, good performance agreement is obtained, and both of
the simulated and measured 10-dB return-loss bandwidths
cover the Bluetooth band. The radiation patterns simulated
and measured in the xz- and yz-planes at 2.44 GHz were
compared, as shown in FIGS. 15A-15B, and good agreement was
again noted. There is a nearly omni-directional pattern for
the co-polarized component, which is desirable for Bluetooth
applications.  
  
[0055] It should be emphasized that the above-described
embodiments of the present invention, particularly, any
"preferred" embodiments, are merely possible examples of
implementations, merely set forth for a clear understanding
of the principles of the invention. Many variations and
modifications may be made to the above-described embodiments
of the invention without departing substantially from the
spirit and principles of the invention. All such
modifications and variations are intended to be included
herein within the scope of this disclosure and the present
invention and protected by the following claims.  
  


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