<i>E</i>‐polarized beam scattering by an open cylindrical PEC strip having an arbitrary “conical‐section” profile

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

doi:10.1002/mop.10067

Cited by 16 publications

(35 citation statements)

References 6 publications

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“…, 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%

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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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“…, 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%

“…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%

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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“…The reflectors are assumed to be PEC and have zero thickness. The feed is a z-directed line current placed at the complex-valued source point (see also [21,22]) and has time dependence exp͑−it͒, omitted in the analysis. The field generated by such a feed can be characterized by the z component of the electric field, which is given by…”

Section: Analysis and Mds Discretizationmentioning

confidence: 99%

“…Such IEs always have singular kernels and therefore must be discretized carefully, especially if the needed accuracy is finer than the first couple of digits. In the 1990s, the method of analytical regularization was developed to convert IEs into Fredholm second-kind matrix equations because of the explicit inversion of the static parts [21].…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis and synthesis of 2D quasi-optical reflectors and beam waveguides based on an integral-equation approach with Nystrom's discretization

Nosich¹,

Gandel²,

Magath³

et al. 2007

J. Opt. Soc. Am. A

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Considered is the beam wave guidance and scattering by 2D quasi-optical reflectors modeling the components of beam waveguides. The incident field is taken as the complex-source-point field to simulate a finite-width beam generated by a small-aperture source. A numerical solution is obtained from the coupled singular integral equations (SIEs) for the surface currents on reflectors, discretized by using the recently introduced Nystrom-type quadrature formulas. This analysis is applied to study what effect the edge illumination has on the performance of a chain of confocal elliptic reflectors. We also develop a semianalytical approach for shaped reflector synthesis after a prescribed near-field pattern. Here a new point is the use of auxiliary SIEs of the same type as in the scattering analysis problem, however, for the gradient of the objective function. Sample results are presented for the synthesis of a reflector-type beam splitter.

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“…Then the scattered part of the Green's function can be easily computed in the other reflector centered coordinate system by using the available FFT algorithm. The FFT based formulations of the electromagnetic scattering problems were also used in literature in conjunction with the MoR techniques [17,18]. In [19], 2D nonconcentric reflector antennain-radome system was solved by the above defined procedure but this time for the H-polarization case so as to simulate the larger dimensional geometries.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Nonconcentric Radome-Enclosed Cylindrical Reflector Antenna System, E-Polarization Case

Oğuzer¹,

Altintas²

2005

Journal of Electromagnetic Waves and Applications

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Abstract-Two-dimensional (2-D) radiation of a directive complex line source is analyzed in the presence of a perfectly conducting (PEC) reflector antenna system and nonconcentrically located dielectric radome. Similar problem was studied in the literature by using method of regularization and Green's function formulation for the Hpolarization case. Here the same techniques are used for E-polarization case but in this case the scattered part of the Green's function is computed by using an FFT based algorithm. This provides us to solve the larger geometries accurately in reasonable computer times. So this approach can be considered as another alternative for the analysis of the E-polarized radome-enclosed reflector antenna system. Various numerical results are presented to support the convergence and accuracy of the technique and at the same time these results can be considered as reference data.

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E‐polarized beam scattering by an open cylindrical PEC strip having an arbitrary “conical‐section” profile

Cited by 16 publications

References 6 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

Numerical analysis and synthesis of 2D quasi-optical reflectors and beam waveguides based on an integral-equation approach with Nystrom's discretization

Analysis of the Nonconcentric Radome-Enclosed Cylindrical Reflector Antenna System, E-Polarization Case

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