US3428923A - Broadband choke for antenna structure - Google Patents
Broadband choke for antenna structure Download PDFInfo
- Publication number
- US3428923A US3428923A US617022A US3428923DA US3428923A US 3428923 A US3428923 A US 3428923A US 617022 A US617022 A US 617022A US 3428923D A US3428923D A US 3428923DA US 3428923 A US3428923 A US 3428923A
- Authority
- US
- United States
- Prior art keywords
- choke
- chokes
- currents
- support structure
- support
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Lifetime
Links
- 230000005855 radiation Effects 0.000 description 7
- 238000003491 array Methods 0.000 description 6
- 230000010287 polarization Effects 0.000 description 6
- 239000006096 absorbing agent Substances 0.000 description 5
- XEEYBQQBJWHFJM-UHFFFAOYSA-N Iron Chemical compound [Fe] XEEYBQQBJWHFJM-UHFFFAOYSA-N 0.000 description 4
- 239000004020 conductor Substances 0.000 description 3
- 230000001629 suppression Effects 0.000 description 3
- 239000011358 absorbing material Substances 0.000 description 2
- 235000012489 doughnuts Nutrition 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 229910052742 iron Inorganic materials 0.000 description 2
- 239000000463 material Substances 0.000 description 2
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 2
- XUIMIQQOPSSXEZ-UHFFFAOYSA-N Silicon Chemical compound [Si] XUIMIQQOPSSXEZ-UHFFFAOYSA-N 0.000 description 1
- VPNMENGBDCZKOE-LNYNQXPHSA-N [(1R,5S)-8-methyl-8-azabicyclo[3.2.1]octan-3-yl] 3-hydroxy-2-phenylpropanoate [(1S,2S,4R,5R)-9-methyl-3-oxa-9-azatricyclo[3.3.1.02,4]nonan-7-yl] (2S)-3-hydroxy-2-phenylpropanoate (1R,3S)-1,2,2-trimethylcyclopentane-1,3-dicarboxylic acid Chemical compound CC1(C)[C@H](CC[C@@]1(C)C(O)=O)C(O)=O.CC1(C)[C@H](CC[C@@]1(C)C(O)=O)C(O)=O.CN1[C@H]2CC[C@@H]1CC(C2)OC(=O)C(CO)c1ccccc1.CN1[C@H]2CC(C[C@@H]1[C@H]1O[C@@H]21)OC(=O)[C@H](CO)c1ccccc1 VPNMENGBDCZKOE-LNYNQXPHSA-N 0.000 description 1
- 230000005540 biological transmission Effects 0.000 description 1
- 238000010276 construction Methods 0.000 description 1
- 230000001627 detrimental effect Effects 0.000 description 1
- 230000008030 elimination Effects 0.000 description 1
- 238000003379 elimination reaction Methods 0.000 description 1
- 239000002184 metal Substances 0.000 description 1
- 229910052751 metal Inorganic materials 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000003071 parasitic effect Effects 0.000 description 1
- 229910052710 silicon Inorganic materials 0.000 description 1
- 239000010703 silicon Substances 0.000 description 1
- 229920002379 silicone rubber Polymers 0.000 description 1
- 239000004945 silicone rubber Substances 0.000 description 1
Images
Classifications
-
- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01Q—ANTENNAS, i.e. RADIO AERIALS
- H01Q1/00—Details of, or arrangements associated with, antennas
- H01Q1/52—Means for reducing coupling between antennas; Means for reducing coupling between an antenna and another structure
- H01Q1/528—Means for reducing coupling between antennas; Means for reducing coupling between an antenna and another structure reducing the re-radiation of a support structure
Definitions
- a support structure containing a coaxial line feed systern is used to connect a pair of arrays for radiating circularly polarized waves which produces a doughnut shaped field pattern.
- Mounted on the support structure are a pair of quarter wavelength shaped chokes whose shorted ends are connected by an absorbing type material.
- the quarter Wavelength chokes present open circuits to the currents induced on the support structure. At frequencies off center, those currents which are not suppressed by the choke are absorbed by the absorbing material. Thus, the resulting field pattern is not affected by currents induced in the support structure.
- the invention relates in general to spurious current suppression, and more particularly to a broadband choke arrangement for use in an antenna structure.
- Structural members for supporting a radiating element or joining radiator elements of an antenna array can by virtue of their position in the radiation field support currents induced on them by the radiating elements. While elimination of all structural support members is desirable, it is usually impossible. 'Further, the support structure is often used as the feed system to connect the transmitter or receiver to the radiating elements. Moreover, when the support structure is used to support an array for radiating a circularly polarized wave, due to currents induced in the support structure, the resultant waveform would be elliptically polarized. Thus, the resultant radiation pattern may be undesirable.
- quarter-wavelength shorted chokes on a structure to present discretely located open circuits to currents and thereby eliminate or reduce the magnitude of the currents, thus reducing the effects of the unwanted currents on the total radiation pattern is well known.
- the use of multiple chokes may be needed. Because of the possibility of physical blockage of the radiation pattern, chokes used for this purpose must be restricted in size. This size restriction, if applied to the choke diameter, will limit the usable frequency bandwidth of the choke arrangement. Further, while multiple chokes on a support operate well to suppress currents over a narrow frequency band, at frequencies removed from the resonant frequency, the chokes may be detrimental to the polarization ellipticity of the radiation from the antenna.
- the present invention suppresses currents over a broad frequency range so that the resultant radiation pattern is not affected by the currents induced in the support structure.
- support elements are not minimized and a stronger physical structure is possible.
- a support structure containing a coaxial line feed system is used to connect a pair of arrays for radiating circularly polarized waves which produces a doughnut shaped field pattern.
- Mounted on the support structure are a pair of quarter wavelength shaped chokes whose shorted ends are connected by an absorbing type material.
- the quarter wavelength chokes present open circuits to the currents induced on the support structure.
- those currents which are not suppressed by the choke are absorbed by the absorbing material.
- the resulting field pat-tern is not affected by currents induced in the support structure.
- FIG. 1 depicts an antenna array having the novel current suppressing system on the support structure thereof
- FIG. 2 depicts the support structure of FIG. 1 in greater detail
- FIG. 3 is a curve depicting the antenna pattern polari zation ratio characteristics without the current suppression of FIG. 2, and
- FIG. 4 are curves depicting typical antenna pattern polarization axial ratio characteristics with the current suppression system of FIG. 2.
- a typical structure containing the choke in accordance with the invention comprises a pair of arrays 14, '16 which are interconnected by the choke structure 18 of the invention.
- Each of the arrays 14, 16 contain a plurality of radiating elements comprising printed circuit dipoles 22.
- the dipoles are mounted on a dielectric member 24 and a coaxial conductor 26 formed of an inner conductor 28 and an outer conductor 32 whose extension 34, 36, respectively, form the dipole radiating elements.
- Electrical signals are fed to the dipole elements through a coaxial feed within an antenna support member 40.
- the coaxial feed within the support member 40 is coupled directly to the array 16 and through the center of broad band choke structure 18 to the second antenna array 14.
- Each of the arrays contain a power divider section 42 having four branch coaxial lines 44 which feed the radiating elements.
- the sections 42 are interconnected by an inter-array coaxial transmission line 48 which forms a support and inner structure for the antenna.
- the broad band choke 18 is mounted on the outer surface of the member 48.
- the broad band choke is shown in greater detail.
- Surrounding the outer surface of the structural member '48 are a pair of metal cupshaped members 52, 54 whose open end portions face the arrays 14, 16, respectively.
- a hole is cut in the closed end portions of members 52, 54 to allow the structural member 48 to pass therethrough.
- the members 52, 54 are brazed or soldered at the hole openings 56, 58, respectively, so as to form a good electrical contact with member 48.
- the inner portion of the cup-shaped member is filled with the dielectric 62, 64, respectively.
- the length of the cup-shaped members is electrically a quarter wavelength when the dielectric is in the members.
- each of the cupshaped members are interconnected by an absorbing wafer 66 having a hole which allows the structural member 48 to pass therethrough, and has the same diameter as the cup-shaped members.
- Each of the chokes '52, 54 present open circuits to currents radiating on the outer surface of the structural member 48 when the antenna array is operated at a frequency when the chokes are electrically a quarter Wavelength apart.
- the polarization axial ratio varies such that without the chokes a circularly polarized wave is almost impossible to obtain, and the radiating pattern is eliptically polarized.
- curve A with the use of the two chokes on the support member, the polarization axial ratio is sufiiciently reduced such that a circularly polarized wave is now possible at the resonant frequency.
- the currents which are present on the support member are absorbed by the wafer 66 if they are not suppressed by the choke structure. These currents are usually more prevalent at frequencies off the center frequency of the quarter wavelength choke, and thus allow lower polarization axial ratios over a wide frequency band as can readily be seen in curve B, FIG. 4.
- the chokes together with the absorbing wafer allows broadbanding for an effective current interruption over a wider frequency beam.
- the arrangement utilizes the two chokes to present open circuits on the support structure near the radiating elements and an absorber wafer between the two chokes.
- Each choke exhibits an open circuit at the resonant frequency and some other impedance at all other frequencies.
- frequencies ofi resonance currents flow past the choke joint such that without the absorber water the choke outer bodies could support and radiate the out of phase currents. Further, the currents from each end would interact with opposite chokes and reduce the operating effectiveness of each choke.
- the absorber wafer attenuates the ourrents on the choke bodies and serves to isolate the two chokes as well as reduce the effective length of any potential radiating parasitic element to less than the length necessary to support currents.
- the absorber selected is an iron loaded silicone rubber base that gives high attenuation for size.
- a broad band choke arrangement approximately doubled the usable frequency range for the particular antenna shown in FIG. 1.
- a broadband choke arrangement for suppressing currents on a support structure comprising:
- a first cup-shaped choke concentrically mounted on said support structure having a side wall and an end Wall connected thereto, said end Wall being connected directly to said support structure;
- means for attenuating currents induced on said support structure and said choke comprising an absorber wafer concentrically mounted on said support stucture and having a first end portion and a second end portion, said end portions being per pendicular to said support structure axis and parallel to said end wall of said choke, said first end portion being mounted adjacent to said end wall of said choke.
Landscapes
- Variable-Direction Aerials And Aerial Arrays (AREA)
Description
Feb. 18, 1969 ADMINISTRATOR OF THE NATIONAL AERON AND SPACE ADMINISTRATION BROADBAND CHOKE FOR ANTENNA STRUCTURE Sheet Filed Feb. 15, 1967 JAMES E. WEBB 3,428,923 AUTICS Of/J Z. .5/J/70,0 (onwqy A. 50/2, (fr.
INVENTORJ rmwm,
A TUBA/5V5 Feb. 18, 1969 JAMES E WEBB 3,428,923
ADMINISTRATOR OF THE NATIONAL AERONAUTICS AND SPACE ADMINISTRATION BROADBAND CHOKE FOR ANTENNA STRUCTURE Filed Feb. 15, 1967 Sheet 2 of 2 BY 9&
M/JS/LF ATTORNEYS United States Patent 4 Claims ABSTRACT OF THE DISCLOSURE A support structure containing a coaxial line feed systern is used to connect a pair of arrays for radiating circularly polarized waves which produces a doughnut shaped field pattern. Mounted on the support structure are a pair of quarter wavelength shaped chokes whose shorted ends are connected by an absorbing type material. At the center frequency of interest, the quarter Wavelength chokes present open circuits to the currents induced on the support structure. At frequencies off center, those currents which are not suppressed by the choke are absorbed by the absorbing material. Thus, the resulting field pattern is not affected by currents induced in the support structure.
The invention described herein was made in the performance of work under a NASA contract and is subject to the provision of Section 305 of the National Aeronautics and Space Act of 1958, Public Law 85-568 (72 Stat. 435; USC 2457).
The invention relates in general to spurious current suppression, and more particularly to a broadband choke arrangement for use in an antenna structure.
Structural members for supporting a radiating element or joining radiator elements of an antenna array can by virtue of their position in the radiation field support currents induced on them by the radiating elements. While elimination of all structural support members is desirable, it is usually impossible. 'Further, the support structure is often used as the feed system to connect the transmitter or receiver to the radiating elements. Moreover, when the support structure is used to support an array for radiating a circularly polarized wave, due to currents induced in the support structure, the resultant waveform would be elliptically polarized. Thus, the resultant radiation pattern may be undesirable.
The use of quarter-wavelength shorted chokes on a structure to present discretely located open circuits to currents and thereby eliminate or reduce the magnitude of the currents, thus reducing the effects of the unwanted currents on the total radiation pattern is well known. In support structures used to join multiple radiating elements, the use of multiple chokes may be needed. Because of the possibility of physical blockage of the radiation pattern, chokes used for this purpose must be restricted in size. This size restriction, if applied to the choke diameter, will limit the usable frequency bandwidth of the choke arrangement. Further, while multiple chokes on a support operate well to suppress currents over a narrow frequency band, at frequencies removed from the resonant frequency, the chokes may be detrimental to the polarization ellipticity of the radiation from the antenna.
In order to overcome the undersirable effects upon the radiation pattern of an antenna array caused by the support structure, the present invention suppresses currents over a broad frequency range so that the resultant radiation pattern is not affected by the currents induced in the support structure. Thus, support elements are not minimized and a stronger physical structure is possible.
Ice
More particularly, according to a preferred embodiment of the invention, a support structure containing a coaxial line feed system is used to connect a pair of arrays for radiating circularly polarized waves which produces a doughnut shaped field pattern. Mounted on the support structure are a pair of quarter wavelength shaped chokes whose shorted ends are connected by an absorbing type material. At the center frequency of interest, the quarter wavelength chokes present open circuits to the currents induced on the support structure. At frequencies off center, those currents which are not suppressed by the choke are absorbed by the absorbing material. Thus, the resulting field pat-tern is not affected by currents induced in the support structure.
The advantages of this invention, both as to its construction and mode of operation, will be readily appreciated as the same become better understood by reference to the following detailed description when considered in connection with the accompanying drawings in which like reference numerals designate like parts through the figures, and wherein:
FIG. 1 depicts an antenna array having the novel current suppressing system on the support structure thereof;
FIG. 2 depicts the support structure of FIG. 1 in greater detail;
FIG. 3 is a curve depicting the antenna pattern polari zation ratio characteristics without the current suppression of FIG. 2, and
FIG. 4 are curves depicting typical antenna pattern polarization axial ratio characteristics with the current suppression system of FIG. 2.
A typical structure containing the choke in accordance with the invention, as shown in FIG. 1, comprises a pair of arrays 14, '16 which are interconnected by the choke structure 18 of the invention. Each of the arrays 14, 16 contain a plurality of radiating elements comprising printed circuit dipoles 22. The dipoles are mounted on a dielectric member 24 and a coaxial conductor 26 formed of an inner conductor 28 and an outer conductor 32 whose extension 34, 36, respectively, form the dipole radiating elements. Electrical signals are fed to the dipole elements through a coaxial feed within an antenna support member 40. The coaxial feed within the support member 40 is coupled directly to the array 16 and through the center of broad band choke structure 18 to the second antenna array 14. Each of the arrays contain a power divider section 42 having four branch coaxial lines 44 which feed the radiating elements. The sections 42 are interconnected by an inter-array coaxial transmission line 48 which forms a support and inner structure for the antenna. The broad band choke 18 is mounted on the outer surface of the member 48.
Referring now to FIG. 2, the broad band choke is shown in greater detail. Surrounding the outer surface of the structural member '48 are a pair of metal cupshaped members 52, 54 whose open end portions face the arrays 14, 16, respectively. A hole is cut in the closed end portions of members 52, 54 to allow the structural member 48 to pass therethrough. The members 52, 54 are brazed or soldered at the hole openings 56, 58, respectively, so as to form a good electrical contact with member 48. The inner portion of the cup-shaped member is filled with the dielectric 62, 64, respectively. The length of the cup-shaped members is electrically a quarter wavelength when the dielectric is in the members. The end walls of each of the cupshaped members are interconnected by an absorbing wafer 66 having a hole which allows the structural member 48 to pass therethrough, and has the same diameter as the cup-shaped members. Each of the chokes '52, 54 present open circuits to currents radiating on the outer surface of the structural member 48 when the antenna array is operated at a frequency when the chokes are electrically a quarter Wavelength apart.
Referring now to FIG. 3, with the array of FIG. 1 operated without chokes, as can be readily seen the polarization axial ratio varies such that without the chokes a circularly polarized wave is almost impossible to obtain, and the radiating pattern is eliptically polarized. As shown in FIG. 4, curve A, with the use of the two chokes on the support member, the polarization axial ratio is sufiiciently reduced such that a circularly polarized wave is now possible at the resonant frequency.
With the absorbing wafer 66 inserted in the choke structure, the currents which are present on the support member are absorbed by the wafer 66 if they are not suppressed by the choke structure. These currents are usually more prevalent at frequencies off the center frequency of the quarter wavelength choke, and thus allow lower polarization axial ratios over a wide frequency band as can readily be seen in curve B, FIG. 4.
Thus, as can be readily seen, the chokes together with the absorbing wafer allows broadbanding for an effective current interruption over a wider frequency beam. The arrangement utilizes the two chokes to present open circuits on the support structure near the radiating elements and an absorber wafer between the two chokes. Each choke exhibits an open circuit at the resonant frequency and some other impedance at all other frequencies. At frequencies ofi resonance currents flow past the choke joint such that without the absorber water the choke outer bodies could support and radiate the out of phase currents. Further, the currents from each end would interact with opposite chokes and reduce the operating effectiveness of each choke. The absorber wafer attenuates the ourrents on the choke bodies and serves to isolate the two chokes as well as reduce the effective length of any potential radiating parasitic element to less than the length necessary to support currents. The absorber selected is an iron loaded silicone rubber base that gives high attenuation for size. A broad band choke arrangement approximately doubled the usable frequency range for the particular antenna shown in FIG. 1.
It should also be understood that the foregoing disclosure relates only to a preferred embodiment of the invention and that it is intended to cover all changes and modifications of the examples in the invention herein chosen for the purposes of the disclosure and which do not constitute departure from the spirit and scope of the invention.
What is claimed and desired to be secured by Letters Patent is:
l. A broadband choke arrangement for suppressing currents on a support structure comprising:
a first cup-shaped choke concentrically mounted on said support structure having a side wall and an end Wall connected thereto, said end Wall being connected directly to said support structure;
a dielectric member mounted within said choke, said choke together with said dielectric member having an electrical length of one-quarter wavelength at the center frequency of interest; and
means for attenuating currents induced on said support structure and said choke comprising an absorber wafer concentrically mounted on said support stucture and having a first end portion and a second end portion, said end portions being per pendicular to said support structure axis and parallel to said end wall of said choke, said first end portion being mounted adjacent to said end wall of said choke.
2. A choke arrangement in accordance with claim 1 and further comprising a second cup-shaped choke concentrically mounted on said support having an end wall and a side wall, said second choke being similar to said first choke and having a side Wall and an end wall, said second choke end well being mounted adjacent to said water second end portion.
3. A choke arrangement in accordance with claim 2 wherein said absorbing Wafer and said chokes are cylindrically shaped and have the same outer diameters.
4. A choke arrangement in accordance with claim 2 wherein said absorbing wafer is composed of an iron loaded silicon base.
References Cited UNITED STATES PATENTS 2,986,735 5/1961 Scheldorf 343802 3,153,239 10/1964 Adams 343791 HERMAN KARL SAALBAOH, Primary Examiner.
L. ALLAHUT, Assistant Examiner.
US. Cl. X.R.
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| US61702267A | 1967-02-15 | 1967-02-15 |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| US3428923A true US3428923A (en) | 1969-02-18 |
Family
ID=24471964
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| US617022A Expired - Lifetime US3428923A (en) | 1967-02-15 | 1967-02-15 | Broadband choke for antenna structure |
Country Status (1)
| Country | Link |
|---|---|
| US (1) | US3428923A (en) |
Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US3680146A (en) * | 1970-03-02 | 1972-07-25 | Jerrold Electronics Corp | Antenna system with ferrite radiation suppressors mounted on feed line |
| US4087823A (en) * | 1976-03-19 | 1978-05-02 | Chu Associates, Inc. | Broadband dipole antenna system having three collinear radiators |
| US4207575A (en) * | 1977-06-20 | 1980-06-10 | Andrew Alford | Means for reducing re-radiation from tall guyed towers located in a strong field of a directional AM radio station |
| US4218687A (en) * | 1976-03-19 | 1980-08-19 | Chu Associates | Broadband dipole antenna system with coaxial feed-line coated with ferrite particles to reduce line currents |
| US4317122A (en) * | 1980-08-18 | 1982-02-23 | Rca Corporation | Duopyramid circularly polarized broadcast antenna |
| US4329690A (en) * | 1978-11-13 | 1982-05-11 | International Telephone And Telegraph Corporation | Multiple shipboard antenna configuration |
| US4359743A (en) * | 1979-07-26 | 1982-11-16 | The United States Of America As Represented By The Secretary Of The Army | Broadband RF isolator |
| FR3058001A1 (en) * | 2016-10-24 | 2018-04-27 | Airbus Group Sas | COATING FOR DISSIMULATION OF OBJECTS TO ELECTROMAGNETIC RADIATION OF ANTENNAS |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US2986735A (en) * | 1959-05-06 | 1961-05-30 | Andrew Corp | Radiation suppressor |
| US3153239A (en) * | 1960-09-13 | 1964-10-13 | Adams Russel Co Inc | Omnidirectional vertically polarized antenna |
-
1967
- 1967-02-15 US US617022A patent/US3428923A/en not_active Expired - Lifetime
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US2986735A (en) * | 1959-05-06 | 1961-05-30 | Andrew Corp | Radiation suppressor |
| US3153239A (en) * | 1960-09-13 | 1964-10-13 | Adams Russel Co Inc | Omnidirectional vertically polarized antenna |
Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US3680146A (en) * | 1970-03-02 | 1972-07-25 | Jerrold Electronics Corp | Antenna system with ferrite radiation suppressors mounted on feed line |
| US4087823A (en) * | 1976-03-19 | 1978-05-02 | Chu Associates, Inc. | Broadband dipole antenna system having three collinear radiators |
| US4218687A (en) * | 1976-03-19 | 1980-08-19 | Chu Associates | Broadband dipole antenna system with coaxial feed-line coated with ferrite particles to reduce line currents |
| US4207575A (en) * | 1977-06-20 | 1980-06-10 | Andrew Alford | Means for reducing re-radiation from tall guyed towers located in a strong field of a directional AM radio station |
| US4329690A (en) * | 1978-11-13 | 1982-05-11 | International Telephone And Telegraph Corporation | Multiple shipboard antenna configuration |
| US4359743A (en) * | 1979-07-26 | 1982-11-16 | The United States Of America As Represented By The Secretary Of The Army | Broadband RF isolator |
| US4317122A (en) * | 1980-08-18 | 1982-02-23 | Rca Corporation | Duopyramid circularly polarized broadcast antenna |
| FR3058001A1 (en) * | 2016-10-24 | 2018-04-27 | Airbus Group Sas | COATING FOR DISSIMULATION OF OBJECTS TO ELECTROMAGNETIC RADIATION OF ANTENNAS |
| WO2018078282A1 (en) * | 2016-10-24 | 2018-05-03 | Airbus | Coating for the concealment of objects from the electromagnetic radiation of antennas |
| CN109964366A (en) * | 2016-10-24 | 2019-07-02 | 空中客车公司 | Coatings for shielding objects from electromagnetic radiation of antennas |
| US11381002B2 (en) | 2016-10-24 | 2022-07-05 | Airbus Sas | Coating for the concealment of objects from the electromagnetic radiation of antennas |
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