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Volumetric integro-differential equations in diffraction and eigenvalue problems (r e v i e w)
Russian version
DOI: 10.21883/EOS.2022.10.54863.3231-22
Davidovich M. V. 1
1Saratov State University, Saratov, Russia
Email: Davidovichmv@info.sgu.ru
PDF
Volumetric integral and integro-differential equations are considered that describe problems of diffraction by three-dimensional bodies with given macroscopic permittivity and magnetic permeability, as well as problems on free vibrations of such bodies. Similar equations are obtained for waveguide structures: hollow shielded waveguides with dielectric filling, dielectric waveguides (optical beamguides), photonic-crystal waveguides. Dominantly stationary linear electromagnetic problems are considered. Non-stationary and nonlinear problems are mentioned casually. Numerical results are given for oscillations H01delta and H011 of a cylindrical dielectric resonator, for waves of a rectangular dielectric waveguide and a plasmonic waveguide, dispersion in a photonic crystal, and diffraction by a rectangular dielectric cylinder. Keywords: ...
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