Analysis of an Arbitrary Conic Section Profile Cylindrical Reflector Antenna, H-Polarization Case

Oğuzer, Taner; Nosich, Alexander I.; Altintas, A.

doi:10.1109/tap.2004.834394

Cited by 18 publications

(34 citation statements)

References 18 publications

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“…Note that the integral equation (1) is similar to the PEC arbitrary-profile reflector equation given in [5]. Together with the condition on the current density to be absent off M,…”

Section: Formulationmentioning

confidence: 97%

“…, where is the real position vector and ib is the complex vector, which characterizes the beam direction and its width (see [3][4][5] and [9,10] for details).…”

Section: Formulationmentioning

confidence: 99%

“…From these two equations, we obtain a dual series equation by using periodicity and projection on the trigonometric polynomials. The details are similar to the PEC case published in [5]. Further this dual series equation is treated with the MAR where analytical inversion is performed using the RHP technique.…”

Section: Formulationmentioning

confidence: 99%

“…Arbitrary-profile 2-D reflector with resistive surface was treated in [13] for the E-polarization case by using the MAR based on the inverse Fourier transform. Here we will study the H-polarization for the conical-section-profile geometry by using the same technique as developed in [5] for the PEC reflector in the Hpolarization case, i.e. based on the mixed-potential integral equation and RHP inversion.…”

Section: Introductionmentioning

confidence: 99%

“…These RHP based solutions provide fast convergence and easily controlled accuracy. In [4] and [5], the conic-section-profile reflectors excited by complex-source-point (CSP) feeds were analyzed and the regularized solutions were obtained. Similar MAR-type algorithms have been also proposed based on different techniques.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of an arbitrary profile reflector antenna having resistive-type surface — H-polarization case

Oğuzer

Altintas

Nosich

2008

2008 12th International Conference on Mathematical Methods in Electromagnetic Theory

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A regularization-based numerical solution is obtained for arbitrary-shape conic section profile reflector antenna in 2-D, for the H-polarization case. New point is that the reflector surface is assumed a resistive-type material. The problem is treated by reducing the singular integral equation obtained from the boundary condition to the dual series equations and application of the Riemann Hilbert Problem (RHP) technique. The resulting matrix equation has regularized form. Sample numerical results are obtained for various values of the eccentricity of the conic section contour of reflector and the resistivity of its surface. INTRODUCTION:Reflector antennas have originally 3-D geometry but sometimes nearly 2-D cylindrical reflectors are also used in practice; besides, these 2-D reflectors can be considered as canonical shapes to validate the numerical analysis methods. In real applications large dishes are mostly used and can be simulated by high-frequency ray-tracing techniques like GTD, UTD, PO and PTD. However, these techniques do not produce a single solution valid in all directions. Still they are erroneous in the caustic and transition regions. In the simulations of 2-D reflectors, Wiener-Hopf method based analytical treatment has been applied and certain asymptotic results have been obtained in [1], however they have a limited validity. On the other hand purely numerical techniques can also be applied to the reflector antenna problems. Method-of-Moments (MoM) with local basis functions is a standard tool in electromagnetics, however it is efficient only for small or medium size single-reflector geometries. Moreover, MoM does not guarantee the accuracy and the convergence of the performed numerical solution.An alternative for the same 2-D reflector antenna problem is the method of analytical regularization (MAR) [2]. With MAR, a part of the full-wave operator is inverted analytically and the resulting operator equation having favorable features is solved numerically. RHP based solutions are examples of the MAR. In [3], RHP based solutions were built for the analysis of the circular-strip 2-D reflector antenna problems for the both polarizations. These RHP based solutions provide fast convergence and easily controlled accuracy. In [4] and [5], the conic-section-profile reflectors excited by complex-source-point (CSP) feeds were analyzed and the regularized solutions were obtained. Similar MAR-type algorithms have been also proposed based on different techniques. For example, projection on Chebyshev polynomials and Jacobi polynomials was suggested in [6] and [7], respectively. However these papers did not present reliable numerical data for arbitrary profiles; nor they attacked electrically larger geometries. A different numerical approach is based on the Nystrom-type interpolation techniques, which are efficient for large reflectors up to quasioptical size and multi-reflector configurations [8][9][10]. In all above mentioned studies the solutions have been performed only for perfectly electric cond...

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“…Note that the integral equation (1) is similar to the PEC arbitrary-profile reflector equation given in [5]. Together with the condition on the current density to be absent off M,…”

Section: Formulationmentioning

confidence: 97%

“…, where is the real position vector and ib is the complex vector, which characterizes the beam direction and its width (see [3][4][5] and [9,10] for details).…”

Section: Formulationmentioning

confidence: 99%

Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Analysis of an arbitrary profile reflector antenna having resistive-type surface — H-polarization case

Oğuzer

Altintas

Nosich

2008

2008 12th International Conference on Mathematical Methods in Electromagnetic Theory

Self Cite

View full text Add to dashboard Cite

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Analysis of the elliptic-profile cylindrical reflector with a non-uniform resistivity using the complex source and dual-series approach: H-polarization case

2013

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An elliptic-profile reflector with varying resistivity is analyzed under the illumination by an H-polarized beam generated by a complex-source-point (CSP) feed. The emphasis is done on the focusing ability that is potentially important in the applications in the optical range related to the partially transparent mirrors. We formulate the corresponding electromagnetic boundary-value problem and derive a singular integral equation from the resistive-surface boundary conditions. This equation is treated with the aid of the regularization technique called Riemann Hilbert Problem approach, which inverts the stronger singular part analytically, and converted to an infinite-matrix equation of the Fredholm 2nd kind. The resulting numerical algorithm has guaranteed convergence. This type of solution provides more accurate and faster results compared to the known method of moments. In the computations, a CSP feed is placed into a more distant geometrical focus of the elliptic reflector, and the near-field values at the closer focus are plotted and discussed. Various far-field radiation patterns including those for the non-uniform resistive variation on the reflector are also presented. © 2013 Springer Science+Business Media New York

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Wavelet‐like efficient analysis of two‐dimensional arbitrarily shaped radomes using a surface formulation

et al. 2007

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[1] Radomes are usually made of lossy dielectric materials, and their accurate analysis is often cumbersome because of their typical large electrical size and geometrical complexity. In real reflector antenna structures, there are always complex interactions between the radome, the reflector surfaces and the directional feeds, which are typically neglected for the sake of simplicity. In this paper we will consider all such interactions in a very accurate way, thus requiring a high number of unknowns for the numerical solution of the problem. To overcome such drawback, an integral equation formulation based on the Equivalence Principle in combination with the wavelet transform has been employed, obtaining finally a robust and accurate CAD tool for the rigorous analysis of arbitrarily shaped radomes containing continuous and discrete electromagnetic sources. It will be shown that the use of wavelet-like bases substantially improves the numerical efficiency and memory requirements of the original integral equation method. For verification purposes, the results obtained with the new technique are successfully compared with examples taken from the literature. Complex antenna structures are then discussed in order to prove the usefulness of the new method.Citation: Quesada-Pereira, F. D., A. Vidal, V. E. Boria, A. Alvarez-Melcón, and B. Gimeno (2007), Wavelet-like efficient analysis of two-dimensional arbitrarily shaped radomes using a surface formulation, Radio Sci., 42, RS5003,

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Analysis of an Arbitrary Conic Section Profile Cylindrical Reflector Antenna, H-Polarization Case

Cited by 18 publications

References 18 publications

Analysis of an arbitrary profile reflector antenna having resistive-type surface — H-polarization case

Analysis of an arbitrary profile reflector antenna having resistive-type surface — H-polarization case

Analysis of the elliptic-profile cylindrical reflector with a non-uniform resistivity using the complex source and dual-series approach: H-polarization case

Wavelet‐like efficient analysis of two‐dimensional arbitrarily shaped radomes using a surface formulation

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