The present invention is generally related to radio-frequency antennas and, more particularly, miniaturized low-profile ultra-wideband omnidirectional antennas.
Omnidirectional antennas, such as the common dipole and whip antennas, are the most widely used antennas. The omnidirectional antenna in the ideal case has a uniform radiation intensity about a center axis of the antenna, peaked in the plane perpendicular to the center axis. For example, the vertical dipole is an omnidirectional antenna with a uniform (constant) radiation intensity about its vertical axis (i.e., in the azimuth pattern) at any given elevation angle, and peaked at the horizontal plane.
In some modern practical applications, the class of omnidirectional antennas is broadened to include those with broad spatial coverage substantially symmetrical about a vertical axis over a span of elevation angles (mostly near the horizon in the context of terrestrial applications). However, some directionality or even nulls may be acceptable or even preferred in certain applications, especially in the digital wireless world. Nevertheless, the techniques in this disclosure provide for a substantially uniform azimuth pattern over a given span of elevation angles. In the elevation pattern, some beam tilt is generally unavoidable, and may be preferred in certain applications.
The proliferation of wireless applications is setting increasingly more demanding goals for wider bandwidth, lower profile, smaller size and weight, as well as lower cost for omnidirectional antennas. To achieve these physical and performance goals, the antenna engineer must overcome the Chu limit (Chu, L. J., “Physical Limitations of Omnidirectional Antennas,” J. Appl. Phys., Vol. 19, December 1948, which is incorporated herein by reference), which states that the gain bandwidth of an antenna is limited by the electrical size (namely, size in wavelength) of the antenna.
Specifically, under the Chu limit, if an antenna is to have good efficiency and fairly large bandwidth, at least one of its dimensions needs to be about λL/4 or larger, where λL denotes the wavelength at the lowest frequency of operation. At frequencies UHF and lower (below 1 GHz), the wavelength is longer than 30 cm, where the size of the antenna becomes an increasingly serious problem with decreasing frequencies (thus longer wavelengths). For example, to cover a high frequency band, say, 3-30 MHz, a broadband efficient antenna may have to be as huge as 15 m tall and 30 m in diameter.
To circumvent the Chu limit, one approach is to reduce the antenna height and trade it with larger dimensions parallel to the surface of the platform on which the antenna is mounted, resulting in a low-profile antenna. For example, when an antenna is mounted on a platform, such as the cell phone, or the earth ground, the platform becomes part of the antenna radiator, leading to a larger dimension for the antenna needed to satisfy the Chu limit. In many applications, low profile and wide bandwidth, such as “ultra-wideband,” have become common antenna requirements.
An “ultra-wideband” antenna is generally meant to have an octaval gain bandwidth greater than 2:1, that is, fH/fL≧2, where fH and fL are the highest and lowest frequencies of operation. Note that “ultra-wideband” is sometimes meant in practice to have two or more wide frequency bands (multi-band) with each band having an adequately wide bandwidth. A “low-profile” antenna is generally meant to have a height of λL/10 or less, where λL is the free-space wavelength at fL.
In the pursuit of wider bandwidth and lower profile, the traveling-wave (TW) antenna with its TW propagating along the surface of the platform was found to have not only an inherently lower profile but also potentially wider bandwidth. (The TW antenna is an antenna for which the fields and current that produce the antenna radiation pattern may be represented by one or more TWs, which are electromagnetic waves that propagate with a certain phase velocity, as discussed in the book “Traveling Wave Antennas” (Walter, C. H., Traveling Wave Antennas, McGraw-Hill, New York, N.Y., 1965, which is incorporated herein by reference), in which a number of low-profile TW antennas were discussed.)
Certain traveling-wave (TW) antennas, in which the TW travels either along or perpendicular to the surface of the platform, can have not only an inherently low profile but also potentially wide bandwidth. Further, the fields and current of certain TW antennas can produce an antenna radiation pattern that may be represented by one or more TWs.
While the 1-D surface-mode TW in the transmission-line antenna propagates in a path parallel to the ground plane (in other words, perpendicular to the z axis), its radiating current is mainly on one or more of its vertical posts parallel to the z axis with equivalent currents that are close to each other in phase from a relevant far-field perspective. Note that this 1-D surface-mode TW and its supporting structure do not have to be along a straight radial line about the z axis. For instance, the 1-D surface TW structure can be bent and curved in the x-y plane as long as the general characteristics of its 1-D transmission-line mode TW remain substantially intact and undisturbed.
However, the 1-D transmission-line antenna is inherently a narrow-band antenna. In general, only a few percent in bandwidth is achieved. Additionally, a lower antenna profile results in a smaller bandwidth. Several 2-D low-profile TW antennas exhibiting increasingly broader bandwidths, such as disk-loaded monopoles, blade antennas, etc. were then developed, as depicted in (b) to (c) of
A technique to reduce the size of a 2-D surface TW antenna is to reduce the phase velocity, thereby reducing the wavelength, of the propagating TW. This leads to a miniaturized slow-wave (SW) antenna (Wang and Tillery, U.S. Pat. No. 6,137,453 issued in 2000, which is incorporated herein by reference), which allows for a reduction in the antenna's diameter and height, with some sacrifice in performance.
The SW antenna is a sub-class of the TW antenna, in which the TW is a slow-wave with the resulting reduction of phase velocity characterized by a slow-wave factor (SWF). The SWF is defined as the ratio of the phase velocity Vs of the TW to the speed of light c, given by the relationship
SWF=c/Vs=λo/λs (1)
where c is the speed of light, λo is the wavelength in free space, and λs is the wavelength of the slow-wave, at the operating frequency fo. Note that the operating frequency fo remains the same both in free space and in the slow-wave antenna. The SWF indicates how much the TW antenna is reduced in a relevant linear dimension. For example, an SW antenna with an SWF of 2 means its linear dimension in the plane of SW propagation is reduced to ½ of that of a conventional TW antenna. Note that, for size reduction, it is much more effective to reduce the diameter, rather than the height, since the antenna size is proportional to the square of antenna diameter, but only linearly to the antenna height. Note also that in this disclosure, whenever TW is mentioned, the case of SW is generally included.
With the proliferation of wireless systems, antennas are required to have increasingly broader bandwidth, smaller size/weight/foot-print, and platform-conformability, especially for frequencies UHF and below (i.e., lower than 1 GHz). Additionally, for applications on platforms with limited space and carrying capacity, reductions in volume, weight, and the generally consequential fabrication cost considerably beyond the state of the art are highly desirable and even mandated in some applications.
This disclosure shows techniques using multi-mode 3-D (three-dimensional) TW (traveling-wave), together with wave coupling and feeding techniques, to broaden the bandwidth and reduce the size/weight/foot-print of platform-conformable omnidirectional antennas, resulting in physical merits and electrical performance beyond the state of the art by a wide margin.
Referring now to
At an arbitrary point p on the surface of the platform, orthogonal curvilinear coordinates us1 and us2 are parallel to the surface, and un is perpendicular to the surface. A TW propagating in a direction parallel to the surface, that is, perpendicular to un, is called a surface-mode TW. If the path of a surface-mode TW is along a narrow path, not necessarily linear or straight, the TW is 1-D (1-dimensional). Otherwise the surface-mode TW's path would be 2-D (2-dimensional), propagating radially and preferably evenly from the feed and radiating outwardly along the platform surface, resulting in an omnidirectional radiation pattern, with vertical polarization (parallel to un).
While discussions in the present disclosure are carried out in either transmit or receive case, the results and conclusions are valid for both cases on the basis of the theory of reciprocity since the TW antennas discussed here are made of linear passive materials and parts.
As depicted in
The conducting ground plane 110 is an inherent and innate component, and has dimensions at least as large as those of the bottom, of the ultra-wideband low-profile 2-D surface-mode TW structure 120. In one embodiment, the conducting ground plane 110 has a surface area that covers at least the projection on the platform, in the direction of −un, from the 3-D TW antenna 100 with its conducting ground plane 110 excluded or removed. Since the top surfaces of many platforms are made of conducting metal, they can serve directly as the conducting ground plane 110, if needed. The 2-D surface-mode TW structure 120 is less than λL/2 in diameter, where λL is the wavelength at the lowest frequency of the individual operating band of the 2-D surface-mode TW structure 120 by itself. The individual operating band of the 2-D surface-mode TW structure 120 alone may achieve an octaval bandwidth of 10:1 or more by using, for example, a mode-0 SMM (Spiral-Mode Microstrip) antenna. The 1-D normal-mode TW structure 160 supports a TW propagating along the vertical coordinate un. Its function is to extend the lower bound of the individual operating frequencies of the 2-D surface-mode TW structure 120. In one embodiment, the TW structure 160 is a small conducting cylinder with an optimized diameter and height.
The 2-D surface-mode TW radiator 125, as part of the 2-D surface-mode TW structure 120, may be a planar multi-arm self-complementary Archimedean spiral excited in mode 0 (in which the equivalent current source at any radial distance from the vertical coordinate un is substantially equal in amplitude and phase and of φ polarization in a spherical coordinate system with un being the z axis), specialized to adapt to the application. In other embodiments, the 2-D surface-mode TW radiator 125 is configured to be a different planar structure, preferably self-complementary, as will be discussed in more details later, and excited in mode 0. It is worth noting that the TW radiator 125 is preferably open at the outer rim of the 2-D surface-mode TW structure 120, serving as an additional annular slot that contributes to omnidirectional radiation.
The frequency-selective external coupler 140 is a thin planar conducting structure, which is placed at the interface between the 2-D surface-mode TW structure 120 and the 1-D normal-mode TW structure 160 and optimized to facilitate and regulate the coupling between these adjacent TW structures. Throughout the individual frequency band of the 2-D surface-mode TW structure 120 (generally over a bandwidth of a 10:1 ratio or more and at the higher end of the operating frequency range of the 3-D multimode TW antenna 100), the frequency-selective external coupler 140 suppresses the interference of the 1-D normal-mode TW structure 160 to the 2-D surface-mode TW structure 120. On the other hand, the frequency-selective external coupler 140 facilitates the coupling of power, at the lower end of the operating frequency band of the 3-D multimode TW antenna 100, between the 2-D surface-mode TW structure 120 and the 1-D normal-mode TW structure 160. In one embodiment, the external coupler 140 is made of conducting materials and has a dimension large enough to cover the base (bottom) of the 1-D normal-mode TW structure 160. Simultaneously, the external coupler 140 may be optimized to minimize its impact and the impact of the 1-D normal-mode TW structure 160 on the performance of the 2-D surface-mode TW structure 120 throughout the individual operating band of the 2-D surface-mode TW structure 120. In one embodiment, the external coupler 140 is a circular conducting plate with its diameter optimized under the constraints described above and for the specific performance requirements.
The optimization of the 2-D surface-mode TW structure 120 and the frequency-selective external coupler 140 is a tradeoff between the desired electrical performance and the physical and cost parameters for practicality of the specific application. In particular, while ultra-wide bandwidth and low profile may be desirable features for antennas, in many applications the 2-D TW antenna's diameter, and its size proportional to the square of its diameter, become objectionable, especially at frequencies UHF and below (i.e., lower than 1 GHz). For example, at frequencies below UHF the wavelength is over 30 cm, and an antenna diameter of λL/3 may be over 10 cm; any antenna larger in diameter would be viewed negatively by users. Thus, for applications on platforms with limited space and carrying capacity, miniaturization and weight reduction are desirable. In one embodiment, from the perspective of antenna miniaturization, size reduction by a factor of 3 to 5 may be achieved by reducing the diameter of the 2-D surface-mode TW structure 120 while maintaining its coverage at lower frequencies by using the 1-D normal-mode TW structure 160. From the perspective of broadbanding, the 10:1 octaval bandwidth of the simple 2-D TW antenna is broadened to 14:1 or more at a small increase in volume and weight when the 1-D normal-mode TW structure 160 is added. Additionally, a cost reduction by a factor of 3 to 6 also follows as a result of savings in materials, especially at frequencies UHF and below.
The antenna's feed network 180 consists of a connector and an impedance matching structure which is included in the 2-D surface-mode TW structure 120, and which is a microwave circuit that excites the desired mode-0 TW in the surface-mode radiator 125. Additionally, the antenna feed network 180 also matches the impedance of the TW structure 120 on one side and that of the external connector, typically 50 ohms, on the other. The mode to be excited is preferably mode 0, but may also be mode 2 or higher.
The theory and techniques for the impedance matching structure for broadband impedance matching are well established in the field of microwave circuits which can be adapted to the present application. It must be pointed out that the requirement of impedance matching must be met for each mode of TW. For instance, impedance matching must be met for each mode if there are two or more modes that are to be employed for multimode, multifunction, or pattern/polarization diversity operations by the antenna.
While the 2-D surface-mode TW radiator 125 takes the form of a planar multi-arm self-complementary Archimedean spiral in one embodiment as discussed, it is in general an array of slots which generate omnidirectional radiation patterns, having substantially constant resistance and minimal reactance over an ultra-wide bandwidth, typically up to 10:1 or more in octaval bandwidths. (A planar multi-arm self-complementary spiral, Archimedean or equiangular, is one embodiment of an array of concentric annular slots.) The radiation at the TW surface-mode radiator 125 in mode-0 TW is from the concentric arrays of slots, which are equivalent to concentric arrays of annular slots, magnetic loops, or vertical electric monopoles. The radiation takes place at a circular radiation zone about a normal axis un at the center of the 2-D surface-mode TW radiator 125, as well as at the edge of the radiator 125.
3-D TW Antenna with Dual 2-D Surface-Mode TW Structures, Internal Coupler, and Dual-Band Feed Network
The transition between these two frequency bands, which may be overlapping, be continuous, or have a large gap in between, may require some tuning and optimization by way of a thin planar frequency-selective internal coupler 1400 positioned at the interface between the two 2-D surface-mode TW structures 1200 and 1600. The frequency-selective internal coupler 1400 may be a thin planar conducting structure that can accommodate the bottom ground plane of the 2-D TW structure 1600 and the 2-D surface-mode TW radiator 1220 of the 2-D surface-mode TW structure 1200. The ultra-wideband dual-band feed network 1800 directly feeding 3-D multi-mode TW omnidirectional antenna 1000 may be a dual-band dual-feed cable assembly, the embodiments of which are illustrated in
First, the structure and functioning of the ultra-wideband dual-band dual-feed cable network assembly 1800, as illustrated in
As shown in
The integration of the feed network 1800 into the 3-D multi-mode TW omnidirectional antenna 1000 is illustrated in its A-A cross-sectional view in
Tri-Mode 3-D TW Antenna with Internal/External Couplers and Dual-Band Feed Network
The larger 2-D surface-mode TW omnidirectional structure 2200 at the bottom covers the low band, for example 0.5-5.0 GHz, and the smaller (about 1/10 in diameter) 2-D TW structure 2600 covers the high band, for example, 5.0-50.0 GHz. The normal-mode TW structure 2700 on the top, excited via a thin planar frequency-selective external coupler 2420, which is placed at the interface between the two adjacent TW structures to couple and extend radiation at frequencies below those of the two 2-D surface-mode TW structures 2200 and 2600 per se (e.g., 0.5-5.0 and 5.0-50.0 GHz, respectively) to, say, 0.35-0.50 GHz. Thus the antenna 2000 has a potential octaval bandwidth of 140:1 (e.g., 0.35-50.0 GHz) or more.
The feed network 2800 is similar to the dual-band feed network 1800 employed in the 3-D TW antenna 1000. Thus, a dual 2-D surface-mode feed cable similar to 1800 illustrated in
This tri-mode TW antenna 2000 has a potential continuous octaval bandwidth of about 140:1 (e.g., 0.35-50.0 GHz) or more. The tri-mode TW antenna 2000 can also be configured to cover separate bands, for example, 0.35-5.0 GHz and 10-100 GHz, thus over a frequency range of 286:1 (100 GHz/0.35 GHz) or wider.
Alternate Tri-Mode 3-D TW Antenna with Internal/External Couplers and Dual-Band Feed Network
The feed network 3800 is similar to dual-mode feed network 1800 employed in the 3-D TW antenna 1000, as well as 2800 employed in the 3-D TW antenna 2000. A dual 2-D surface-mode feed cable similar to 1810 illustrated in
The smaller 2-D TW structure 3700 covers the high band, for example, 5.0-50.0 GHz. The normal-mode TW structure 3600 is first excited by the low-band 2-D TW structure 3200 via external coupler 3410, and then the TW is coupled to the high-frequency 2-D TW structure via external coupler 3420, for frequencies below 0.5 GHz and down to 0.35 GHz or lower. As a result, this tri-mode TW antenna has a potential octaval bandwidth of 140:1 (0.35-50.0 GHz in this example) or more. Similar to the tri-mode TW antenna 2000, the tri-mode TW antenna 3000 can also be configured to have a wider multi-band capability, if needed, to cover separate bands, for example, 0.35-5.0 GHz and 10-100 GHz, thus over a frequency range of 286:1 (100 GHz/0.35 GHz) or wider.
Similarly, multiplexing and combining of high and low band signals in feed network 3800, if desired, can be implemented in the same manner as that for feed network 1800 via a circuit in a printed circuit board (PCB), such as a stripline or microstrip line circuit.
Multi-Mode 3-D TW Antenna Covering Ultra-Wideband and Separate Distant Low-Frequencies
In some applications, it is desirable to cover some separate distant low frequencies, say, below 100 MHz, in addition to ultra-wideband coverage at higher common frequencies. For example, at 100 MHz or below, where the wavelength is 3 m or longer, any wideband antenna may be too large for the platform under consideration or the user's perspective; yet some narrowband coverage at these low frequencies may be desired and even adequate. Under these circumstances, a solution using the multi-mode 3-D TW omnidirectional antenna approach is depicted in
In this embodiment, the antenna is mounted on a generally flat conducting surface 4100 on the platform; if the surface of the platform is non-metal, the conducting property can be provided by adding a thin sheet of conducting material by a mechanical or chemical process. The conducting ground surface 4100 covers a surface area on the platform, having dimensions at least as large as the projection of the 3-D TW antenna on the surface of the platform. Antenna ensemble 4000 is primarily comprised of two parts: a 3-D multi-mode TW omnidirectional antenna 4200 and a transmission-line antenna 4500, connected with each other.
The 3-D multi-mode TW omnidirectional antenna 4200 can be in any form or combination that has been presented earlier in this invention in various forms, but preferably has a normal-mode TW structure 4230, generally positioned on top. The normal-mode TW structure 4230 is coupled to a 1-D TW transmission line antenna 4500 via a frequency-selective low-pass coupler 4240, which is a low-pass filter that passes the desired individual signals at separate distant low frequencies, say, 40 MHz and 60 MHz. The low-pass coupler 4240 can be a simple inductive coil optimized for interface between TW structures 4200 and 4500.
The transmission-line antenna 4500 is a 1-D TW antenna, which has one or more tuned radiators 4510, each of which has a reactance that brings the radiator into resonance and impedance match with the rest of the antenna ensemble 4000. The transmission-line section of 4500 does not have to be a straight line. For instance, it can be curved to minimize the surface area needed for its installation. The bandwidth and efficiency of the transmission-line antenna 4500 can be enhanced by using a wider or fatter structure for both the transmission-line section 4520 and the vertical radiator 4510. The transmission-line antenna 4500 can have a reactive tuner above or below the ground surface 4100 to obtain resonance at one or more desired frequencies at distant low frequency bands.
This tri-mode TW antenna ensemble 4000 can achieve a continuous octaval bandwidth of 140:1 or more similar to those achievable by TW antennas 100, 2000, and 3000. It can also be configured to have a wider multi-band capability, if needed, to cover one or more separate bands at much lower frequencies below, for example, at 0.05 GHz, thus over a frequency range of 2000:1 (100 GHz/0.05 GHz) or wider.
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 the present invention.
Theoretical Basis of the Invention
The platform-compatible 3-D TW omnidirectional antenna in this invention can achieve a continuous octaval bandwidth of up to 140:1 or more. It can also achieve a multi-band capability, if needed, to cover one or more separate bands at much lower frequencies below, for example, at 0.05 GHz, over a frequency range of 2000:1 (100 GHz/0.05 GHz) or wider. The antenna can achieve a fairly constant radiation resistance of approximately 50 ohms or, if needed, the characteristic impedance of any another common coaxial cable throughout its operating frequencies. Additionally, the antenna can also achieve a small reactance relative to its radiation resistance throughout its operating frequencies. The theoretical basis for such ultra-wideband radiation TW apertures is described as follows, beginning with some needed mathematical formulation.
Without loss of generality, the theory of operation for the present invention can be explained by considering the case of transmit; the case of receive is similar on the basis of reciprocity. The time-harmonic electric and magnetic fields, E and H, due to the sources on the surface of the radiator, denoted by S, can be represented as those due to the equivalent electric and magnetic currents, Js and Ms, on the surface S given by
Ms=−n×E on S (2a)
Js=n×H on S (2b)
The electromagnetic fields outside the closed surface S is given by
where g is the free-space Green's function given by
where k=2π/λ and λ is the wavelength of the TW. ∈o and μo are the free-space permittivity and permeability, respectively. And ω=2πf, where f is the frequency of interest.
The unprimed and primed (′) position vectors, r and r′, with magnitudes r and r′ refer to field and source points, respectively, in the source and field coordinates. (All the “primed” symbols refer to the source). The symbol ∇s′ denotes a surface gradient operator with respect to the primed (′) coordinate system.
For the surface-mode TW radiator consisting of an array of slots, the region of the surface radiator is fully represented by an equivalent magnetic surface current Ms. As for the region over the surface of the platform, there is only an equivalent electric surface current Js if the platform surface is conducting. For the surface area on the platform that is nonconducting, both electric and magnetic equivalent surface currents, Js and Ms, generally exist. For the normal-mode TW radiator, the equivalent electric surface current Js exists, and the magnetic equivalent surface current Ms vanishes.
The time-harmonic fields in the far zone are given by Eq. (3). In the far zone that is of interest to antenna property, the fields are plane waves with the following relationship between electric and magnetic fields:
E(r)=−η{circumflex over (r)}×H(r) in the far zone (5)
where η is the free-space wave impedance, equal to √{square root over (μo/∈o)} or 120π. Note here that the sources, fields, and the Green's function involved here, according to Eqs. (2) through (5), are all complex vector quantities. Therefore, radiation will be effective if the integrand in Eq. (3) is substantially in phase in the desired directions in the far zone; and the radiation must also yield a useful radiation pattern, being omnidirectional in the present case. For efficient radiation, good impedance matching is also essential. Based on antenna theory, and specialized to the present problem in Eqs. (3) and (4), a useful antenna radiation pattern is directly related to its source currents. Therefore, it is advantageous to design the TW radiators from known broadband TW configurations.
Referring to
At frequencies lower than this ultra-wide bandwidth, the TW power cannot radiate effectively via surface-mode radiator 125. In this case, the TW power is coupled externally to the normal-mode TW structure 160 and the ground plane 110 via a frequency-selective external coupler 140. It is worth pointing out that the stacking of the TW antennas, with judicial use of properly designed frequency-selective external and internal couplers, would broaden the bandwidth without disturbing each other's in-band performance. With the external coupler, the TW structure 120 can function undisturbed in its inband (individual band) of operation, for example, 1-10 GHz. At its out-of-band frequencies immediately below (below 1 GHz in the example), the TW power cannot be radiated from the TW structure 120 and is coupled externally to the normal-mode TW structure 160 via the external coupler 140. As a result, the TW power then radiates over a medium bandwidth (for example, 1.3:1) over the frequency range below that of the surface-mode TW radiator 125 per se. Note here that RF power is also coupled from the TW radiators to the ground plane 110 and, if the platform surface is also conducting, to the platform surface, thus beneficially enlarging the effective size of the antenna and consequentially circumventing the Chu limit confined by the TW structures per se.
In TW structure 120, propagation of the TW from the feed network 180 to free space is represented by the equivalent transmission-line circuit in
Impedance matching must be achieved over all of the operating bandwidths. Note that
For the case involving two internally coupled 2-D dual surface-mode TW radiators, such as the antenna 1000 depicted in
Experimental Verification
Experimental verification of the fundamental principles of the invention has been carried out satisfactorily. For the combination of normal-mode and surface-mode TW radiators using an external coupler, as depicted in
For the combination of two surface-mode TW radiators, as depicted in
Observation on the measured data, not shown here, indicates that a bandwidth much higher than 100:1 is also feasible. These data also indicate, though indirectly, that the combination of two surface-mode TW radiators and a normal-mode TW radiator, as depicted in
Number | Name | Date | Kind |
---|---|---|---|
4112431 | Wild | Sep 1978 | A |
5313216 | Wang et al. | May 1994 | A |
5453752 | Wang et al. | Sep 1995 | A |
5546096 | Wada | Aug 1996 | A |
5589842 | Wang et al. | Dec 1996 | A |
5621422 | Wang | Apr 1997 | A |
6137453 | Wang et al. | Oct 2000 | A |
6509873 | Nalbandian et al. | Jan 2003 | B1 |
6972729 | Wang | Dec 2005 | B2 |
7106270 | Igusa et al. | Sep 2006 | B2 |
7545335 | Wang | Jun 2009 | B1 |
8264410 | Wang | Sep 2012 | B1 |
20080316124 | Hook | Dec 2008 | A1 |
Entry |
---|
Chu, L. J., “Physical Limitations of Omnidirectional Antennas,” J. Appl. Phys, vol. 19, Dec. 1948. |
Deschamps, G. A., “Impedance Properties of Complementary Multiterminal Planar Structure,” IEEE Trans. Antennas and Prop., vol. 7, No. 5, pp. S371-S378, Dec. 1969. |
DuHamel, H. D. and Scherer, J. P., “Frequency Independent Antennas,” in Antenna Engineering Handbook, 3rd. Edition, R. C. Johnson, Editor, McGraw-Hill, New York, 1993. |
Goubau, G., “Multi-Element Monopole Antennas,” Proc. Army ECOM-ARO, Workshop on Electrically Small Antennas, Ft. Monmouth, NJ., pp. 63-67, May 1976. |
Mattaei, G., Young, L., and Jones, E.M.T., Microwave Filters, Impedance-Matching Networks and Coupling Structures, McGraw-Hill, New York, 1964. Reprinted by Artech House, Norwood, MA, 1985. |
Walter, C. H., “Traveling Wave Antennas,” McGraw-Hill, New York, NY, 1965. |
Wang, J. J. H., “Generalized Moment Methods in Electromagnetics—Formulation and Computer Solution of Integral Equations,” Wiley, New York, 1991, pp. 103-105 and 165-175. |
Wang, J. J. H., “The Spiral as a Traveling Wave Structure for Broadband Antenna Applications,” Electromagnetics, pp. 20-40, Jul.-Aug. 2000. |
Wang, J. J. H., “A Critique and New Concept on Gain Bandwidth Limitation of Omnidirectional Antennas,” Progress in Electromagnetics Research Symposium (PIERS) 2005, Hangzhou, China, Aug. 2005. |
Wang, J. J. H., “Fundamental Bandwidth Limitation for Small Antennas on a Platform,” 2006 IEEE International Workshop on Antenna Technology: Small Antennas and Novel Metamaterials (IWAT 2006), White Plains, New York, Mar. 2006. |
Wang, J. J. H. , Triplett, D. J., and Stevens, C. J., “Broadband/Multiband Conformal Circular Beam-Steering Array,” IEEE Trans. Antennas and Prop. vol. 54, No. 11, pp. 3338-3346, Nov. 2006. |
Wang, J. J. H. and Tripp, V. K., “Design of Multioctave Spiral-Mode Microstrip Antennas,” IEEE Trans. Ant. Prop, Mar. 1991. |
Mayes, P.E., “Frequency Independent Antennas,” in Atenna Handbook, Y.T. Lo and S.W. Lee, Editors, Van Nostrand Reinhold, NY, 1988, Chapter 9. |
Morgan, George Emir, et al., “New Bands, New Rules, New Technologies; The Current State of the Wireless Industry”, Advancing Microelectronics,(1998 Special Wireless Issue), vol. 25, No. 3,pp. 9-16, 1998. |
King, Ronold, et al., “Transmission-Line Missile Antennas,” IRE Transactions on Antennas and Propagation, vol. 8, No. 1, pp. 88-90, Jan. 1960. |
Number | Date | Country | |
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20120256799 A1 | Oct 2012 | US |