Mathieu functions of complex arguments and thier applications to the scattering by lossy elliptic cylinders

作者

  • A-K. Hamid Department of Electrical /Electronics Engineering University of Sharjah P.O. Box 27272, Sharjah, United Arab Emirates
  • M. I. Hussein Department of Electrical Engineering United Arab Emirates University P.O. Box 17555, Al-Ain, United Arab Emirates
  • M. Hamid Department of Electrical and Computer Engineering University of South Alabama Mobile, Alabama 36688, U.S.A.
  • H. A. Ragheb Department of Electrical Engineering King Fahd University of Petroleum and Minerals Dhahran, Saudi Arabia

关键词:

Mathieu functions of complex arguments and thier applications to the scattering by lossy elliptic cylinders

摘要

The aim of this paper is to outline the theory for calculating the angular and radial Mathieu functions of complex arguments. These functions are required for the computation of analytic solutions of electromagnetic scattering by lossy dielectric elliptic cylinders and waveguides. The backscattered echo width of a lossy dielectric elliptic cylinder is compared with the special case of lossy circular and weakly lossy elliptic cylinders and excellent agreement is obtained in all cases. Tabulated and plotted numerical results of Mathieu functions are presented.

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HAMID, HUSSEIN, RAGHEB, HAMID: MATHIEU FUNCTIONS OF COMPLEX ARGUMENT AND THEIR APPLICATIONS 216

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已出版

2022-07-09

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