Analysis of an arbitrary-profile, cylindrical, impedance reflector surface illuminated by an E-polarized complex line source beam
Date
2014Source Title
Journal of Electromagnetic Waves and Applications
Print ISSN
0920-5071
Publisher
VSP BV
Volume
28
Issue
3
Pages
360 - 377
Language
English
Type
ArticleItem Usage Stats
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Abstract
Electromagnetic scattering from a cylindrical reflector surface having an arbitrary conic section profile is studied. We assumed an electrically thin layer antenna illuminated by a complex line source in E-polarization mode. Our boundary value formulation, without loss of generality, involves an integral equation approach having impedance-type thin-layer boundary conditions. For simplicity, we also considered both faces of the reflector of the same uniform impedance value. Our computation employs the Method of Analytical Regularization (MAR) technique: the integral equations are converted into the discrete Fourier transform domain yielding two coupled dual series equations, which are then solved by the Fourier inversion and Riemann Hilbert Problem techniques. We demonstrate the accuracy and the convergence behaviors of our numerically solved MAR results that can serve as an accurate benchmark for comparison with widely used results obtained by approximate boundary conditions. © 2013 Taylor and Francis.
Keywords
numerical modelingreflector surface
regularization
scattering
Dielectric materials
Discrete Fourier transforms
Integral equations
Numerical models
Scattering
Approximate boundary condition
Cylindrical reflectors
Electromagnetic scattering
Integral equation approaches
Method of analytical regularization
Reflector surfaces
regularization
Riemann Hilbert problems
Boundary conditions