Two-Dimensional Scattering by a Homogeneous Gyrotropic-Type Elliptic Cylinder

The separation of variables procedure has been employed for solving the problem of scattering from an infinite homogeneous gyrotropic-type (G-type) elliptic cylinder, when a uniform plane electromagnetic wave perpendicular to its axis, illuminates it. The formulation of the problem involves expandi...

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Bibliographic Details
Main Authors: A. K. Hamid, F. Cooray
Format: Article
Language:English
Published: Advanced Electromagnetics 2016-12-01
Series:Advanced Electromagnetics
Subjects:
Online Access:https://aemjournal.org/index.php/AEM/article/view/401
Description
Summary:The separation of variables procedure has been employed for solving the problem of scattering from an infinite homogeneous gyrotropic-type (G-type) elliptic cylinder, when a uniform plane electromagnetic wave perpendicular to its axis, illuminates it. The formulation of the problem involves expanding each electric and magnetic field using appropriate elliptic vector wave functions and expansion coefficients. Imposing suitable boundary conditions at the surface of the elliptic cylinder yields the unknown expansion coefficients related to the scattered and the transmitted fields. To demonstrate how the various G-type materials and the size of the cylinder affects scattering from it, plots of scattering cross sections are given for cylinders having different permittivity/permeability tensors and sizes.
ISSN:2119-0275