Excitation of a cylindrical cavity by a helical current and an axial electron beam current

Давидович, М. В.; Бушуев, Н. А.

doi:10.1134/s1063784213070049

Cited by 3 publications

(1 citation statement)

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“…It is quite easy to obtain a GFs for ideal screens [28], waveguides and resonators with ideal walls, in particular, a rectangular waveguide and a resonator [28,31,43], where it is constructed by the method of multiple images or using known eigenfunctions. If one formally denote the set of such functions ϕ n (r) and eigenvalues ω n , then the GF is constructed as a resolution in the form of an expansion in ϕ n (r)ϕ * n (r ′ )/(ω − ω n ) [44]. Problems with dielectric half-spaces are much more complicated [28].…”

Section: Integral and Integro-differential Equationsmentioning

confidence: 99%

Volumetric integro-differential equations in diffraction and eigenvalue problems (r e v i e w)

Давидович

2022

Optics and Spectroscopy

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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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Section: Integral and Integro-differential Equationsmentioning

confidence: 99%