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      • Department of Electrical and Electronics Engineering
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      The method of analytical regularization in the electromagnetic wave scattering by thin disks

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      Author
      Balaban, M. V.
      Nosich, A. I.
      Altıntaş, Ayhan
      Benson, T. M.
      Date
      2007
      Source 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 Paper
      Item Usage Stats
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      120
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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 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)
      Permalink
      http://hdl.handle.net/11693/26951
      Published Version (Please cite this version)
      http://dx.doi.org/10.1049/ic.2007.1181
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      • Department of Electrical and Electronics Engineering 3524
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