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Time domain theory of open waveguide resonators: Canonical problems and a generalized matrix technique
Author(s) -
Sirenko Yuriy K.,
Yashitaliya P.
Publication year - 2003
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 - 10.1029/2001rs002581
Subject(s) - resonator , inversion (geology) , scattering , electromagnetic theory , regularization (linguistics) , boundary value problem , mathematics , basis (linear algebra) , frequency domain , mathematical analysis , computer science , mathematical optimization , algorithm , physics , optics , geometry , paleontology , structural basin , artificial intelligence , biology
In this paper, we consider new solutions and algorithms for initial boundary‐value problems in the electromagnetic theory of open waveguide resonators. The approaches are based on a description of the scattering properties of such resonators in terms of the transform operators for an evolutionary basis of the non‐stationary signal, that have the same significance in the course of analyses in time domain as generalized scattering matrixes in frequency domain. All suggested approaches imply using mathematically correct computational procedures at the key stages of forming the solution, in particular, the analytical regularization method—the semi‐inversion method.