DocumentCode
2606931
Title
Mathematical model of a cavity gyrotron on the basis of hypersingular integral equations
Author
Gandel, Yu.V. ; Kononenko, A.S.
Author_Institution
Kharkiv National University, Department of Mathematics and Mechanics, Svobody sq. 4,61077, Kharkiv, Ukraine
fYear
2004
fDate
14-17 Sept. 2004
Firstpage
559
Lastpage
561
Abstract
Hypersingular integral equation (HSIE) for a coaxial gyrotron full wave analysis is derived in case of TM waves. Considered electrodynamic problem is a problem to find nontrivial solutions for homogenous Maxwell equations. It reduced to a problem of the first kind for a two-dimensional Helmholtz equation for electric Borgnis function in cross-section of a cavity gyrotron. Derived HSIE can be solved numerically using a method of discrete singularities and special quadrature formulas of the interpolative type.
Keywords
Boundary conditions; Coaxial components; Electrodynamics; Gyrotrons; Integral equations; Mathematical model; Mathematics; Maxwell equations; Performance analysis; Tellurium;
fLanguage
English
Publisher
ieee
Conference_Titel
Mathematical Methods in Electromagnetic Theory, 2004. 10th International Conference on
Conference_Location
Dniepropetrovsk, Ukraine
Print_ISBN
0-7803-8441-5
Type
conf
DOI
10.1109/MMET.2004.1397119
Filename
1397119
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