The method of analytical regularization in the electromagnetic wave scattering by thin disks

Date
2007
Advisor
Instructor
Source Title
Proceedings of the 2nd European Conference on Antennas and Propagation, EuCAP 2007
Print ISSN
Electronic ISSN
Publisher
Institution of Engineering and Technology
Volume
2007
Issue
11961
Pages
Language
English
Type
Conference Paper
Journal Title
Journal ISSN
Volume Title
Abstract

We consider the problem of diffraction of an arbitrary electromagnetic wave by a thin disk made from different materials and located in free space. Here we imply a zero- thickness perfectly electrically conducting (PEC) disk, and also thin electrically resistive (ER) and dielectric disks whose thickness is much smaller than the disk radius and the free space wavelength, and also much smaller than the skin-layer depth in the ER disk case. The method used for the modeling is based on the integral equation (IE) technique and analytical regularization. Starting with Maxwell's equations, boundary conditions and the radiation condition at infinity we obtain a set of coupled dual IEs (DIEs) for the unknowns and then reduce this set of equations to the coupled IEs of the Fredholm second kind. To verify our results we calculate the far field characteristics in the case of the PEC disk with the incident field being the field of horizontal electrical dipole located on the disk axis.

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Keywords
Analytical regularization, Diffraction, Disk, Dielectric disks, Electrical dipoles, Far field, Fredholm, Free space, Free-space wavelengths, Incident fields, Method of analytical regularization, Perfectly electrically conducting disks, Radiation condition, Thin disk, Antennas, Dielectric materials, Disks (machine components), Electromagnetic wave diffraction, Electromagnetic wave scattering, Electromagnetic waves, Maxwell equations, Set theory, Disks (structural components)
Citation
Published Version (Please cite this version)