The method of analytical regularization in the electromagnetic wave scattering by thin disks
Author
Balaban, M. V.
Nosich, A. I.
Altıntaş, Ayhan
Benson, T. M.
Date
2007Source Title
Proceedings of the 2nd European Conference on Antennas and Propagation, EuCAP 2007
Publisher
Institution of Engineering and Technology
Volume
2007
Issue
11961
Language
English
Type
Conference PaperItem Usage Stats
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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.
Keywords
Analytical regularizationDiffraction
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)