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

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      Author
      Oguzer, T.
      Altintas, A.
      Nosich, A. I.
      Date
      2009-06-09
      Source Title
      Journal of the Optical Society of America A
      Print ISSN
      1084-7529
      Publisher
      Optical Society of America
      Volume
      26
      Issue
      7
      Pages
      1525 - 1532
      Language
      English
      Type
      Article
      Item Usage Stats
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      86
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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.
      Keywords
      Differential equations
      Electric fields
      Integral equations
      Method of moments
      Permalink
      http://hdl.handle.net/11693/11783
      Published Version (Please cite this version)
      http://dx.doi.org/10.1364/JOSAA.26.001525
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      • Department of Electrical and Electronics Engineering 3524
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