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Boundary element method for dielectric resonators and waveguides
Author(s) -
Collin R. E.,
Ksienski D. A.
Publication year - 1987
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs022i007p01155
Subject(s) - resonator , eigenvalues and eigenvectors , dielectric resonator , dielectric , waveguide , boundary element method , boundary value problem , basis function , mathematical analysis , basis (linear algebra) , boundary (topology) , mode (computer interface) , element (criminal law) , eigenmode expansion , dielectric resonator antenna , mathematics , finite element method , optics , normal mode , materials science , physics , acoustics , geometry , computer science , optoelectronics , quantum mechanics , law , political science , thermodynamics , vibration , operating system
A general mode‐matching or boundary element method is described for formulating the eigenvalue problem associated with dielectric resonators and waveguides. The method is based on the use of dyadic Green's functions for which various different forms can be chosen. These different choices and the resultant computational advantages are discussed. The method is applied to the problems of a cylindrical dielectric resonator and a rectangular dielectric waveguide. It is shown that very accurate values of the dominant mode eigenvalue can be obtained using only a few global basis functions.