The present invention relates to antenna systems and methods. More particularly, the present invention relates to antennas made of resistive materials and antenna design and manufacturing methods for overcoming adverse effects caused by losses in such resistive materials.
A number of resistive sheet or resistive layer antenna designs and systems exist within various industries for providing a partly conductive and at the same time optically transparent layer of material for multiple applications. The sheet resistivity and the light transparency of the resistive sheet are the key factors to determine the implementation of a resistive sheet antenna. In general, an antenna made of a resistive transparent sheet, such as Indium tin oxide, experience losses several orders of magnitude larger than an antenna made of a conductive material such as Copper or Silver. Therefore, antennas are primarily made of a conductive material, if possible. However, conductive materials are opaque to light. As a result, in certain applications requiring the use of a transparent antenna, a conductive material cannot be used.
In recent years, the demand for transparent antennas has increasingly grown for touchscreen, mobile platform, and automobile applications. In particular, the implementation of antennas, made of a transparent conductive layer, on the display window of a portable communication device have been addressed in the prior art, as described in U.S. Pat. No. 7,983,721 to Ding et al., the specification of which is incorporated herein by reference in its entirety. However, these efforts have faced certain challenges and limitations. Particularly, attempts made to provide an antenna design sufficiently transparent to light and at the same time capable of performing at radiation efficiency levels set up by industry standards have not been successful. A major challenge is that as the sheet resistivity of a resistive sheet increases, making the resistive sheet more conductive, the optical transparency of the resistive sheet decreases. Likewise, as the sheet resistivity increases, the power dissipated as heat as a result of currents flowing on the resistive sheet increases too. Accordingly, the radiated power and the radiation efficiency of the resistive sheet are reduced, making it very challenging for resistive sheet antennas to meet radiation efficiency industry standards.
Therefore, a compromise is required between two conflicting goals. Firstly, making the resistive sheet as conductive as possible, which means less transparent; and secondly, making the antenna more optically transparent, which means a more resistive sheet having a larger sheet resistivity. Current technology offers optically transparent resistive sheets having a sheet resistivity larger than 10 Ohms per square. However, for these values of sheet resistivity, standard designs techniques used for antennas made of conductive materials notably fail.
Moreover, in placing an antenna close to conductive or resistive materials, electromagnetic coupling between the antenna and these materials also contributes to power losses that decrease the effective radiated power at a system level. In most touchscreen and mobile platform applications, the antenna is surrounded by a number of conductive and resistive materials that must be considered, especially when designing an antenna using resistive sheets, to maximize the overall radiated power. Accordingly, manufacturers intending to use a resistive sheet on the touchscreen area as an antenna experience either an unacceptable reduction in radiation efficiency or an unacceptable performance of the touchscreen. This leads manufacturers to implementation of antenna system that are costly, aesthetically unappealing, or more importantly, highly inefficient.
Previous efforts have been made to develop a method of improving the radiation efficiency of antennas made of transparent resistive sheet, as described in U.S. Pat. No. 7,233,296 to Song, et al. However, this method is primarily aimed at determining values for current density over the surface of the resistive sheet to identify regions having concentrated flow of currents. Then the antenna efficiency is improved by increasing the conductivity in such areas of high current concentration.
The method described in the patent to Song et al., has also faced severe challenges and limitations. In particular, the resulting resistive layer will not be optically homogeneous. In other words, there will be areas of the resistive layer having darker spots resulting from the increased conductivity. Thus, although the resistive layers may meet optical transparency functional requirements, the resistive layer will not be aesthetically appealing. Furthermore, the manufacturing process used to provide different regions with different conductivity increases costs. Moreover, and more importantly, the areas of high-current concentration will vary depending on the type of application, the user operation, and the surrounding areas to the resistive sheet. Accordingly, small areas of higher conductivity on the resistive sheet may not cover a shift of the high-current spots. Alternatively, increasing the size of the areas of higher conductivity (darker areas) on the resistive sheet may further compromise the aesthetics and the optical transparency of the resistive sheet.
A way to approach the disadvantages of the efforts attempted by the prior art is to design a resistive sheet antenna, based on the topology of the resistive sheet. In this way, it is possible to increase the radiation efficiency of the antenna by identifying and mitigating or eliminating the sources of losses experienced by the antenna as current flows on the resistive sheet. In particular, a uniform radio frequency (RF) current distribution over the topology of the resistive sheet may prevent RF current “hot spots” and pinch points,” resulting in substantial increase of radiation efficiency.
An RF current “hot spot” is characterized by a region of a material wherein a concentration of RF current is present having significantly larger current levels as compared to other regions having a more uniform current distribution and lower current levels. In particular, for a resistive sheet, a “hot spot” region dissipates a substantial amount of power as heat, significantly reducing the amount of radiated power.
Likewise, an RF current “pinch point” is characterized by a region of a material wherein the physical configuration of the material forces the RF current to converge creating high concentration of current levels. Thus, a narrow region of a material will have larger current densities as compared to a wider region of the same material. Accordingly, a “pinch point” in a resistive material will result in a substantial amount of power dissipated as heat, significantly reducing the amount of radiated power. Therefore, it is critical for a resistive sheet antenna to avoid RF current “hot spots” and “pinch points,” in order to be able to radiate power and operate as an antenna.
Currently, there is no well-established method of deterministically creating a topology configuration of a resistive sheet to provide acceptable values of radiation efficiency, especially for resistive sheets having a sheet resistivity greater than 10 Ohms per square.
Thus, there remains a need in the art for antenna system designs and methods, using resistive sheets, capable of operating at radiation efficiencies that avoid the problems of prior art systems and methods.
An antenna system and method of optimizing the design of an antenna using resistive sheets, or equivalently resistive layers, is disclosed herein. One or more aspects of exemplary embodiments provide advantages while avoiding disadvantages of the prior art. The system and method are operative to design a topology of a resistive sheet to mitigate the adverse effects caused by the inherent losses of resistive sheets while operating as antennas. The system is designed to reduce a plurality of RF current “hot spots” and “pinch points” associated with the flow of a current on a resistive sheet, by a sufficient extent so as to enable radiation of electromagnetic waves at a substantially higher radiation efficiency as compared with antennas designed using traditional design techniques.
An antenna system using a resistive sheet designed according to the method described herein is able to uniformly distribute the currents flowing on said resistive sheet to reduce power losses as heat. Accordingly, more power is radiated improving the radiation efficiency of the antenna system. This increased radiation efficiency is primarily dictated by the resistive sheet topology that provides wide areas and smooth edges wherein current flows to yield a more uniform current density distribution over the resistive sheet. In addition, wide areas of the resistive sheet contribute to prevent RF current “pinch points,” while smooth edges contribute to avoid RF current “hot spots,” especially at contracted, corners, junctions, bends, periphery, or sharp regions of said resistive sheet, where significant RF power is dissipated as heat instead of being radiated.
The determination of the topology configuration of the resistive sheet is based on determining an effective alpha function, which depends on the physical dimensions of the resistive sheet and is proportionally related to the radiation losses of the resistive sheet. Thus, lower values of the effective alpha function translate into lower power losses as heat, and higher power available for radiation. The resistive sheet is discretized into pixels or cell units, and the effective alpha function is calculated for each pixel. Then circuit network theory is used to compute the effective alpha function for the entire resistive sheet structure. The values of the effective alpha function over the entire structure provides a key guidance to determine which areas of the topology must be adjusted to further improve the design and avoid any “hot spots” and “pinch points.” Alternatively, electromagnetic simulation software may be used to compute the effective alpha function.
The method to design a resistive sheet antenna with significantly higher radiation efficiency as compared to standard techniques used to design an antenna made of conductive material includes the step of determining a reference effective alpha function for an initial topology that avoids RF current “hot spots” and “pinch points.” The method further includes the steps of designing alternative antenna topologies of said antenna, wherein RF currents flow uniformly over as much area as possible of said antenna, reducing electromagnetic coupling between said antenna and other materials, and reducing RF current “hot spots” and RF current “pinch points” on other resistive material. The method further includes the step of selecting the antenna topology most suitable for the intended application of said antenna, in terms of performance or other predetermined criteria.
By significantly reducing the losses caused by currents flowing over a resistive sheet by means of determining a suitable topology of the resistive sheet and by increasing the uniform distribution of the current density flowing on the resistive sheet, the antenna system and method are able to provide outcomes that significantly increase the radiation efficiency, as compared to antenna designs using standard techniques. This increase in radiation efficiency may be multiple times larger, resulting in designs that meet or exceed challenging industry standards, in terms of antenna radiation performance and optical transparency, for a resistive sheet antenna.
The numerous advantages of the present invention may be better understood by those skilled in the art by reference to the accompanying drawings in which:
The following description is of a particular embodiment of the invention, set out to enable one to practice an implementation of the invention, and is not intended to limit the preferred embodiment, but to serve as a particular example thereof. Those skilled in the art should appreciate that they may readily use the conception and specific embodiments disclosed as a basis for modifying or designing other methods and systems for carrying out the same purposes of the present invention. Those skilled in the art should also realize that such equivalent assemblies do not depart from the spirit and scope of the invention in its broadest form.
where Rrad is antenna radiation resistance 20, and Ro is antenna loss resistance 22.
From the above expression of the antenna radiation efficiency, e, it is clear that either an increase of the value of antenna radiation resistance 20 or a decrease of the value of antenna loss resistance 22 will increase the antenna radiation efficiency, e. In particular, the radiation efficiency of an antenna can be significantly affected by the presence of a resistive material near the antenna. This is due to the electromagnetic coupling of energy between the antenna and the resistive material. The energy that is coupled into and dissipated by the resistive material cannot be further radiated, resulting in less effective power radiated by the antenna. The outcome is equivalent to having an antenna with larger antenna loss resistance 22. A number of factors affect the amount of electromagnetic coupling between an antenna and a nearby resistive material, including the dimensions and relative location of the antenna and the resistive material, the antenna polarization and operating frequency range, and the distance between the antenna and the resistive material.
For resistive sheet 30 operating as an antenna element of effective length, Leff, and effective width, Weff, loss resistance 22 is given by the sheet resistivity, Rs, multiplied by the effective length-to-effective width ratio, i.e.:
where effective length, Leff, and effective width Weff correspond to the length and width of resistive sheet 30 where the current density is different from zero, respectively. Therefore, a current density uniformly flowing over the entire area of resistive sheet 30 will yield an effective length identical to the physical length of resistive sheet 30 and an effective width identical to the physical width of resistive sheet 30. Likewise, for a current density with non-uniform distribution on the entire area of resistive sheet 30, the effective length or the effective width will be smaller than the corresponding physical length or physical width of resistive sheet 30, respectively.
It is possible to introduce an effective alpha function, αeff, of resistive sheet 30, given by the effective length-to-effective width ratio of resistive sheet 30, i.e.:
Thus, the effective alpha depends on both the current density distribution along the length of resistive sheet 30 and the current density distribution along the width of resistive sheet 30. By reducing the effective alpha function, αeff, of resistive sheet 30, it is possible to reduce loss resistance 22 of resistive sheet 30, which increases the radiation efficiency, e, of resistive sheet 30.
Because of the inherent losses of resistive sheet 30, regions of resistive sheet 30 having high concentration of current density will cause larger ohmic losses, degrading the antenna radiation efficiency of resistive sheet 30. Thus, where resistive sheet 30 is intended to minimize losses and maximize radiation efficiency, a current density uniformly flowing over the entire area of resistive sheet 30 is preferable. In addition, both RF current “hot spots” and RF current “pinch points” must be avoided, particularly at edges, corners, or narrower regions of resistive sheet 30 in which high concentration of RF currents may occur.
Therefore, most preferably, a peripheral boundary, enclosing an area of said resistive sheet 30 layer, defines a topology designed to carry a desired current density that uniformly and smoothly flows over the entire area of resistive sheet 30. Accordingly, the topology of resistive sheet 30 is typically configured to have rounded instead of sharp corners or to be larger in dimensions, as compared to a counterpart made of conductive material, to avoid abrupt disruption of currents and allow currents to naturally decay to levels that may not create significant losses at the edges of resistive sheet 30.
Referring to the coordinate system shown in
where D(y) is the normalized current density distribution within pixel 40 of resistive sheet 30 in Y-axis 34 direction, and B(x) is the normalized current density distribution within pixel 40 of resistive sheet 30 in X-axis 32 direction for current flowing along Y-axis 34 direction.
Likewise, an alpha function in X-axis 32 direction, of pixel 40 depicted in
Therefore, for resistive sheet 30 operating as an antenna element and having a sheet resistivity, Rs, the loss resistance 22 within pixel 40 can be written as:
Roymn=Rsαymn
Roxmn=Rsαxmn
where Roymn and Roxmn are the loss resistance within pixel 40 of resistive sheet 30 in Y-axis 34 direction and X-axis 32 direction, respectively.
Thus, each pixel of resistive sheet 30 can be characterized by a first loss resistance in Y-axis 34 direction and a second loss resistance in X-axis 32 direction. Accordingly, the calculation of the overall effective alpha function, αeff, of resistive sheet 30, can then be determined by means of circuit theory methods well-known to those skilled in the art. Alternatively, the overall effective alpha function, αeff, of resistive sheet 30, having sheet resistance Rs, can be determined by calculating the antenna radiation efficiency, e, of resistive sheet 30 and the antenna radiation resistance of resistive sheet 30, using electromagnetic simulation software, such as Ansys-HFSS commercial software. Correspondingly, the topology of resistive sheet 30 may be adjusted to reduce the overall effective alpha function, αeff, according to the physical dimensions of resistive sheet 30 and the distribution of the current density flowing over resistive sheet 30.
The determination and use of an effective alpha function, αeff, for designing an antenna, using a resistive sheet, includes for each possible configuration of interest, taking into account the following considerations: first, the available area wherein the antenna would be located; second, the presence of resistive and conductive materials, including other antennas, within a radius of two wavelengths at the lowest frequency of operation in the medium wherein the antenna is operating; third, discretizing the area of the antenna into pixels having a maximum length and a maximum width no larger than a tenth of a wavelength at the lowest frequency of operation in the medium where the antenna is operating; fourth, determining the current density distribution on the antenna surface, corresponding to an excitation source in the presence of other resistive and conductive materials; fifth, normalizing the current density distribution on the antenna surface wherein the antenna lies; sixth, calculating the effective alpha function corresponding to each pixel into which the total area of the antenna has been discretized; seventh, creating an equivalent electrical circuit network, corresponding to the antenna surface, by means of the calculated effective alpha function corresponding to each pixel in the directions of a Cartesian coordinate system wherein the area of the antenna has been discretized; eighth, determining parameters of the equivalent electrical circuit network, particularly the resistance loss of the antenna, corresponding to the current density distribution on the antenna. Alternatively, the overall effective alpha function, αeff, can be determined by calculating the antenna radiation efficiency and the antenna radiation resistance of the antenna, by means of electromagnetic simulation software, such as Ansys-HFSS commercial software or other methods well-known by those skilled in the art; and ninth, adjusting the topology of the antenna to reduce the overall effective alpha function, αeff, according to the physical dimensions of the antenna and the distribution of the current density flowing over the resistive sheet. In particular, the topology of the antenna must avoid RF current “hot spots” and RF current “pinch points,” by increasing the uniform distribution of currents flowing over said resistive sheet, at the frequencies of interest, as a result of implementing one or more of the following design considerations: increasing the area of the resistive sheet wherein the currents flow, reducing the sheet resistivity of the resistive sheet, and smoothing out the edges and avoiding sharp corners of the topology in regions wherein the currents flow.
In accordance with certain aspects of an embodiment,
Dipole antenna element 92 consists of a first arm 92a and a second arm 92b fed at feeding point 96, each arm having a length of about 21.5 mm and a width of 1 mm. Substrate 95 consists of a piece of glass with a relative dielectric permittivity of about 7, a tangent loss in the order of 0.05, and approximate dimensions of 50-mm in length, 24-mm in width, and 0.7-mm in thickness. Those skilled in the art will recognize that substrate 95 may be implemented using different varieties of glass, plastic, sapphire, and polymers such as polyethylene terephthalate (PET), having different thickness and tangent loss.
The length of arms 92a and 92b primarily defines a first lower frequency region of operation of antenna system 90. Likewise, the length of parasitic element 94 primarily defines a second higher frequency region of operation of antenna system 90. Those skilled in the art will realize that there are a variety of ways to feed dipole element 92, including by means of an electromagnetically-coupled feeding element, a coaxial cable, a coplanar waveguide or other types of transmission line known in the prior art.
Parasitic element 94 has a shape with a footprint that fits within a rectangle of approximately 11.7-mm in length and about 8-mm in width. Parasitic element 94 consists of a modified rectangle having a convex side 94a, elliptically shaped according to an ellipse with a major axis of 4.8 mm and a major-to-minor axes ratio of 2.45; a concave side, opposing said convex side 94a, consisting of a first edge 94c, a second edge 94d, and a third edge 94f; and two substantially parallel and opposing sides 94b and 94e, each with an approximate dimension of 5.6 mm. Edge 94f of parasitic element 94 has a length of approximately 1 mm and is positioned equidistant from sides 94b and 94e. Moreover, edge 94c and edge 94d of parasitic element 94 each follow an elliptical shape according to an ellipse with a major axis of 6 mm and a major-to-minor axes ratio of 2. In other words, edge 94c and edge 94d of parasitic element 94 each extend elliptically inward from sides 94b and 94e to define a midpoint notch that corresponds to edge 94f.
Parasitic element 94 is placed adjacent to dipole antenna element 92 without physically touching each other. Instead, parasitic element 94 electromagnetically couples to dipole antenna element 92 to ultimately characterize a performance of antenna system 90. In particular, an input impedance, a polarization characteristic and a frequency range of operation of antenna system 90 are influenced by the topology of parasitic element 94, in terms of the physical dimensions, configuration, and location of parasitic element 94. In this case, parasitic element 94 is positioned with a minimum separation from dipole element 92 of about 0.1 mm. Accordingly, dipole element 92 acts as a driver element or feeding element of parasitic element 94 by means of electromagnetic coupling.
In this embodiment, the topology of parasitic element 94 is configured to increase a uniform flow of RF currents on parasitic element 94 and to avoid RF current “hot spots” in order to increase the antenna radiation efficiency of antenna system 90. Particularly, parasitic element 94 is wider than traditional parasitic element designs using conductive materials; has two rounded corners at the joint of side 94a with side 94b and at the joint of side 94a with side 94e; has one smoothed, convex side 94a; and has one smooth, concave side formed by edges 94c, 94d, and 94f.
Moreover, dipole element 92 is excited such that the RF current is maximum at feed point 96 and gradually reduces to a zero level at a distance from feed point 96 corresponding to the location of sides 94b and 94e of parasitic element 94, at the intended frequency of operation of antenna system 90 primarily defined by parasitic element 94. Accordingly, parasitic element 94 is configured to reduce electromagnetic coupling at edge 94f, and to gradually increase electromagnetic coupling at edges 94c and 94d as edges 94c and 94d approach sides 94b and 94e, respectively. The location and physical configuration of edges 94c, 94d, and 94f and side 94a of parasitic element 94 allows a more uniform and smoother current density distribution on parasitic element 94 and avoids RF current “hot spots” to increase the antenna radiation efficiency of antenna system 90.
In this embodiment, side 94b, side 94e, the corner at the joint of side 94b with edge 94c, and the corner at the joint of edge 94d with side 94e of parasitic element 94 do not need to be smoothed out because the level of the nearby RF currents are significantly low at the intended frequency of operation, of antenna system 90, primarily defined by parasitic element 94.
The effect of the topology of parasitic element 94 is better illustrated by referring to
In
Also in
However, in
Resistive layer 120 is fed by feeding element 122, which is coupled to coaxial cable 124. Feeding element 122 consists of an approximately 1-mm radius circular pad, made of conductive material, electrically connected to the center conductor of coaxial cable 124. Preferably, feeding element 122 is attached to resistive layer 120 by means of a commercially available adhesive tape, because of inherent practical difficulties to solder directly into resistive layer 120. Furthermore, the conductive film used has a protective thin layer of polymer on each surface. Thus, effectively, the coupling of feeding element 122 to resistive layer 120 is primarily through electromagnetic coupling, even though feeding element 122 is in physical contact with the protective polymer layer of resistive layer 120.
In regards to the configuration shown in
Those skilled in the art will realize that other methods of implementing transmission line 124, in addition to using a coaxial cable, include a coplanar waveguide, a microstrip line and other types of transmission lines known in the prior art, any of which may be used without departing from the spirit and scope of the invention. Likewise, those skilled in the art will recognize that feeding element 122 may be implemented by using conductive adhesive, soldering a conductive terminal, or other types of electromagnetically-coupled feeding elements known in the prior art.
Alternatively, other forms of the configurations described herein may include a resistive sheet having a topology with at least one smooth edge and at least one smooth corner. In another configuration, the topology of a resistive sheet may be configured to reduce electromagnetic coupling to other resistive or conductive materials. In yet another configuration, the topology of a resistive sheet may be configured to have a shape as wide as possible, to have at least one region wide enough to avoid RF current “pinch points.” Likewise, in any of the configurations described herein, a resistive sheet antenna may operate in an elliptical polarization, including a generally linear polarization and a generally circular polarization; in a single frequency band or multiple frequency bands; and as part of a single, diversity, multiple input multiple output (MIMO), reconfigurable or beam forming network system.
Those skilled in the art will realize that the resistive layer described in the different configurations of antenna system 90 may be implemented by means of a resistive film comprising a metal oxide compound, such as tin oxide, disposed on substrate 95, or by application of a resistive coating directly to substrate 95 or to a thin layer of a substrate such as polyethylene terephthalate to be disposed on substrate 95.
Regarding each of the above-described configurations, a method as depicted in
1. At step 1310, determining a reference effective alpha function, αeff, for the resistive sheet of an initial topology design of the antenna. In particular, the initial topology of the antenna must avoid RF current “hot spots” and RF current “pinch points,” by increasing the uniform distribution of RF currents flowing over the resistive sheet, at the frequencies of interest.
2. Next, at step 1320, designing alternative antenna topologies of the antenna, wherein RF currents flow uniformly over as much area as possible of the antenna. This may include creating new topologies of the antenna or adjusting the initial topology of the antenna to reduce the reference effective alpha function, αeff, according to the physical dimensions of the antenna and the distribution of the current density flowing over the resistive sheet, as a result of implementing one or more of the following design considerations: increasing the area of the resistive sheet wherein the currents flow, reducing the sheet resistivity of the resistive sheet, and smoothing out the edges and avoiding sharp corners of the topology in regions wherein the currents flow.
3. Next, at step 1330, reducing, as much as possible, any electromagnetic coupling between the antenna and other materials within a radius of two wavelengths at the lowest frequency of operation of the antenna in the medium wherein the antenna is intended to operate. Go to step 1310, if necessary, to consider additional antenna topologies.
4. Next, at step 1340, reducing as much as possible RF current “hot spots” and RF current “pinch points” on the other resistive material, and increasing the uniform flow of RF currents over as much area of the resistive material as possible, in case that the electromagnetic coupling between the antenna and other materials cannot be totally eliminated. This may include reconfiguring the topology of the resistive sheet antenna to reduce the electromagnetic coupling between the resistive sheet antenna and the other resistive material.
5. Next, at step 1350, repeating steps 1310 to 1340 for other antenna topologies of interest.
6. Last, at step 1360, selecting an antenna topology most suitable for an intended application of the antenna, in terms of performance or other predetermined criteria.
Those of ordinary skill in the art will recognize that the steps above indicated can be correspondingly adjusted for specific configurations and other constraints, including operating frequency band and bandwidth, radiation gain, polarization, radiation efficiency, input impedance matching, operational conditions, surrounding environment, available area and location for implementation of the antenna, method of antenna feeding, and type of transmission line used for a given application.
Preferably, the uniformity of RF currents flowing over the resistive sheet, RF current “hot spots,” RF current “pinch points,” the electromagnetic coupling between two materials, the overall effective alpha function, αeff, and other antenna performance parameters, including but not limited to electromagnetic fields, radiation efficiency, currents, radiation gain, input impedance, and polarization are determined by means of a computer-assisted simulation tool and electromagnetic simulation software, such as Ansys-HFSS commercial software or other methods well-known by those skilled in the art.
Most preferably, a data processing and decision making algorithm may be implemented to analyze antenna parameters or calculate a figure of merit of the antenna performance, including but not limited to electromagnetic fields, radiation efficiency, currents, radiation gain, input impedance, and polarization, to support or guide the antenna design process as described herein, as those skilled in the art will realize. Alternatively, a resistive sheet antenna may be designed by determining and reducing the total effective alpha function or equivalently by increasing the radiation resistance of the antenna.
The various embodiments have been described herein in an illustrative manner, and it is to be understood that the terminology used is intended to be in the nature of words of description rather than of limitation. Any embodiment herein disclosed may include one or more aspects of the other embodiments. The exemplary embodiments were described to explain some of the principles of the present invention so that others skilled in the art may practice the invention. Obviously, many modifications and variations of the invention are possible in light of the above teachings. The present invention may be practiced otherwise than as specifically described within the scope of the appended claims and their legal equivalents.
This application is based upon and claims priority from U.S. Provisional Patent Application Ser. No. 61/812,366 entitled “Planar Antenna and Design Method Thereof,” filed with the U.S. Patent and Trademark Office on Apr. 16, 2013, by the inventors herein, the specification of which is incorporated herein by reference.
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