Accurate simulation of reflector antennas by the complex source-dual series approach

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

doi:10.1109/8.402198

Cited by 42 publications

(74 citation statements)

References 14 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%

“…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.…”

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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“…A free space analysis of the 2D reflector antenna system is performed by combining the MoR technique with the complex source point (CSP) method in [13]. Previously the 2D cylindrical reflector antenna was simulated by combining the high frequency ray techniques (AI, UTD) and CSP method in [14].…”

Section: Introductionmentioning

confidence: 99%

“…Previously the 2D cylindrical reflector antenna was simulated by combining the high frequency ray techniques (AI, UTD) and CSP method in [14]. Therefore the work in [13] was a numerically accurate solution of the same problem. The circularly cylindrical reflector antenna and the covering concentric circular radome was another problem of interest and it was analyzed in [15] for both polarization cases.…”

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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“…A free space analysis of the 2D reflector antenna system was performed by combining the MAR technique with the complex source point (CSP) method in [10]. When the radome is considered the reflector surface and the radome may have the same axis i.e., the concentric one solved in [11] for both polarizations.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Nonconcentric Reflector Antenna-in-radome System by the Iterative Reflector Antenna and Radome Interaction

Oğuzer¹,

Altintas²

2007

Journal of Electromagnetic Waves and Applications

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Abstract-Nonconcentric reflector antenna-in-radome systems are used in applications especially requiring smaller radome coverages. The analysis of this two-dimensional geometry is performed for the Epolarization case. Here the geometry is decomposed into two parts and the analysis is performed by imposing the boundary conditions on each part as an iterative manner. This is known as the iterative boundary condition method in the literature. Convergence and accuracy are established numerically and it is seen that the expectations are really verified in reasonable CPU times. Also various numerical results are obtained for the description of the radiation characteristics.

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Accurate simulation of reflector antennas by the complex source-dual series approach

Cited by 42 publications

References 14 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 Nonconcentric Radome-Enclosed Cylindrical Reflector Antenna System, E-Polarization Case

Analysis of the Nonconcentric Reflector Antenna-in-radome System by the Iterative Reflector Antenna and Radome Interaction

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