On the theory of the synthesis of single and dual offset shaped reflector antennas

Galindo-Israel, V.; Imbriale, W.; Mittra, R.

doi:10.1109/tap.1987.1144200

Cited by 60 publications

(17 citation statements)

References 12 publications

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“…To solve (1), (5)-(7), we suggest to adapt the synthesis methods of shaped reflectors published by Schruben [31], Westcott [32], [33], and Galindo-Israel et al [34], [35]. To the authors' knowledge, this is the first time that this problem has been considered for lens shaping and that a complete methodology has been proposed to derive a solution.…”

Section: Solution Of the Problemmentioning

confidence: 99%

A new accurate design method for millimeter-wave homogeneous dielectric substrate lens antennas of arbitrary shape

Chantraine-Bares

Sauleau

Coq

et al. 2005

IEEE Trans. Antennas Propagat.

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The synthesis and the optimization of three-dimensional (3-D) lens antennas, consisting of homogeneous dielectric lenses of arbitrary shape and fed by printed sources, are studied theoretically and experimentally at millimeter(mm)-wave frequencies. The aim of the synthesis procedure is to find a lens profile that transforms the radiation pattern of the primary feed into a desired amplitude shaped output pattern. This synthesis problem has been previously applied for dielectric lenses and reflectors. As far as we know, we propose, for the first time, to adapt and implement it for the design of substrate lens antennas. The inverse scattering problem is solved in two steps. In the first one, the geometry of the 3-D lens is rigorously derived using geometrical optics (GO) principles. The resulting second-order partial-differential equation is strongly nonlinear and is of the Monge-Ampère (M.A) type. The iterative algorithm implemented to solve it is described in detail. Then, a surface optimization of the lens profile combined with an analysis kernel based on physical optics (PO) is performed in order to comply with the prescribed pattern. Our algorithms are successfully validated with the design of a lens antenna radiating an asymmetric Gaussian pattern at 58.5 GHz whose half-power beamwidth equals 10 in H plane and 30 in E plane. The lens is illuminated by a microstrip 2 2 patch antenna array. Two lens prototypes have been manufactured in Teflon. Before optimization, the measured radiation patterns are in very good agreement with the predicted ones; nevertheless, the 12 dB side lobes and oscillations appearing in the main lobe evidence a strong difference between the desired and measured patterns. This discrepancy is significantly reduced using the optimized lens.

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Section: Solution Of the Problemmentioning

confidence: 99%

A new accurate design method for millimeter-wave homogeneous dielectric substrate lens antennas of arbitrary shape

Chantraine-Bares

Sauleau

Coq

et al. 2005

IEEE Trans. Antennas Propagat.

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“…Here the reflector antenna surfaces are shaped to provide a desired secondary pattern (normally specified as an aperture distribution) for a given primary radiation pattern. This strategy is most often employed in dual reflector systems, where a constant path length from the focus to the aperture can be enforced, along with specular reflection and power conservation [9,10,11,12].…”

Section: Reflector Antenna Systems Backgroundmentioning

confidence: 99%

Recent Advances in Surrogate Modelling of Reflector Antenna Systems

Villiers¹

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. This paper discusses some of the recent advances in the surrogate based modeling and optimization of reflector antenna systems, and presents several examples. Much of the focus is on the design of reflector systems for radio astronomy applications, where especially tight specifications are placed on some of the important performance metrics. In several cases the response surfaces of these performance metrics are computationally expensive to compute, and, as an added complication, they are often conflicting and need to be optimized in a multiobjective (MO) or Pareto framework. The large numbers of function evaluations required in these optimization loops make direct full wave simulation in the loop intractable, and surrogate based methods may in these cases lead to reliable global MO optimizations. Two main characteristics of reflector antenna responses of interest are exploited, namely their slow (or periodic) variation with design parameters, as well as the availability of a computationally cheap geometric optics approximation. 4302

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“…The image approximation has been frequently used as the approximate solution of Love's equivalence principle for the electromagnetic wave propagation [1][2][3] and in the induction equivalent and the physical equivalent in the electromagnetic wave scattering phenomenon, which includes microwave imaging [4,5], reflector antenna design [6,7], evaluation of Radar Cross Section (RCS) [8,9] and other applications [10][11][12]. Recently, the image approximation also finds the application in the mirror system design for quasi-optical mode converters in high-power gyrotrons [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

On the Image Approximation for Electromagnetic Wave Propagation and Pec Scattering in Cylindrical Harmonics

Liao¹,

Vernon²

2006

PIER

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Abstract-A closed-form formula, the discrepancy parameter, which has been defined as the ratio of the modal expansion coefficients between the electromagnetic field obtained from the image approximation and the incident electromagnetic field, has been proposed for the evaluation of the validity of the image approximation in the electromagnetic wave propagation, i.e., Love's equivalence principle, and the electromagnetic wave scattering, i.e., the induction equivalent and the physical equivalent, in the cylindrical geometry. The discrepancy parameter is derived through two equivalent methods, i.e., the vector potential method through the cylindrical addition theorem and the dyadic Green's function method, for both the TE and TM cylindrical harmonics. The discrepancy parameter justifies the fact that the image approximation approaches the exact solution for the cylindrical surface of infinite radius. For the narrow-band field with limited spectral component in k space, the cylindrical modal expansion of the electromagnetic wave into the TE and TM cylindrical harmonics can be separated into the forward-propagating wave that propagates forward and the back-scattered wave that is back-scattered by the PEC surface, within the image approximation. The discrepancy parameter shows that the validity of the image approximation depends on the property of the incident field and the radius of the cylindrical surface, i.e., the narrow-band field and the surface of a large radius are in favor of the image approximation, which has also been confirmed by the numerical result. Liao and Vernon

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On the theory of the synthesis of single and dual offset shaped reflector antennas

Cited by 60 publications

References 12 publications

A new accurate design method for millimeter-wave homogeneous dielectric substrate lens antennas of arbitrary shape

A new accurate design method for millimeter-wave homogeneous dielectric substrate lens antennas of arbitrary shape

Recent Advances in Surrogate Modelling of Reflector Antenna Systems

On the Image Approximation for Electromagnetic Wave Propagation and Pec Scattering in Cylindrical Harmonics

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