## Integral equation analysis of an arbitrary-profile and varying-resistivity cylindrical reflector illuminated by an E-polarized complex-source-point beam

JOSA A, Vol. 26, Issue 7, pp. 1525-1532 (2009)

http://dx.doi.org/10.1364/JOSAA.26.001525

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### Abstract

A two-dimensional reflector with resistive-type boundary conditions and varying resistivity is considered. The incident wave is a beam emitted by a complex-source-point feed simulating an aperture source. The problem is formulated as an electromagnetic time-harmonic boundary value problem and cast into the electric field integral equation form. This is a Fredholm second kind equation that can be solved numerically in several ways. We develop a Galerkin projection scheme with entire-domain expansion functions defined on an auxiliary circle and demonstrate its advantage over a conventional moment-method solution in terms of faster convergence. Hence, larger reflectors can be computed with a higher accuracy. The results presented relate to the elliptic, parabolic, and hyperbolic profile reflectors fed by in-focus feeds. They demonstrate that a partially or fully resistive parabolic reflector is able to form a sharp main beam of the far-field pattern in the forward half-space; however, partial transparency leads to a drop in the overall directivity of emission due to the leakage of the field to the shadow half-space. This can be avoided if only small parts of the reflector near the edges are made resistive, with resisitivity increasing to the edge.

© 2009 Optical Society of America

**OCIS Codes**

(050.1940) Diffraction and gratings : Diffraction

(050.1755) Diffraction and gratings : Computational electromagnetic methods

**ToC Category:**

Diffraction and Gratings

**History**

Original Manuscript: January 9, 2009

Revised Manuscript: April 14, 2009

Manuscript Accepted: April 17, 2009

Published: June 9, 2009

**Citation**

Taner Oğuzer, Ayhan Altintas, and Alexander I. Nosich, "Integral equation analysis of an arbitrary-profile and varying-resistivity cylindrical reflector illuminated by an E-polarized complex-source-point beam," J. Opt. Soc. Am. A **26**, 1525-1532 (2009)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-7-1525

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