Title :
The Solution of the Boundary Problem for an Arbitrary Elliptic Operator Satisfying the Radiation Condition
Author :
Sveshnikov, A.G. ; Bogolyubov, A.N. ; Malykh, M.D. ; Mukhartova, J.V.
Author_Institution :
Fac. of Phys., Moscow State Univ.
Abstract :
The scalar problem of oscillation excitation in the cylindrical waveguide, when the contraction of the operator on the cross section perpendicular to waveguide´s axis is an arbitrary elliptic operator, and the boundary condition is the condition of the third kind is considered. It´s shown, that it´s effective to use the method of generalized Fourier-transformation for such a problem, and the requirement of generalized Fourier-transform existence is the condition, singling the solution, that is the superposition of waves propagating from the source
Keywords :
Fourier transforms; boundary-value problems; circular waveguides; electromagnetic oscillations; electromagnetic wave propagation; Fourier-transformation; arbitrary elliptic operator; boundary condition; cylindrical waveguide; oscillation excitation; radiation condition; scalar problem; waves propagation; Boundary conditions; Eigenvalues and eigenfunctions; Filling; Gold; Hilbert space; Laplace equations; Physics; Waveguide components;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings of XIth International Seminar/Workshop on
Conference_Location :
Tbilisi, Georgia
Print_ISBN :
966-02-3873-8
DOI :
10.1109/DIPED.2006.314283
