Theory of irregular impedance waveguides: Generalized method of separation of variables

Author

Zaginaylov, Gennadiy I. ; Maksimenko, Aleksandr V. ; Shcherbinin, Vitalii I. ; Schunemann, Klaus

Author_Institution

Nat. Sci. Center, “Kharkov Inst. of Phys. & Technol.”, Kharkov, Ukraine

fYear

2014

fDate

26-28 Aug. 2014

Firstpage

31

Lastpage

35

Abstract

Maxwell´s equations for longitudinally inhomogeneous (irregular) waveguides with impedance walls are equivalently reduced to an infinite set of ordinary differential equations (ODE) by applying transverse expansions. The resulting set of ODE is used for analysis of gyrotron cavities. In particular, the effects of mode conversion and ohmic losses on the operational frequency, quality factor, and field distribution in gyrotron cavities operating in the sub-millimeter range are investigated.

Keywords

Maxwell equations; Q-factor; differential equations; gyrotrons; waveguide theory; Maxwell equations; ODE; field distribution; generalized variable separation method; gyrotron cavities; impedance walls; irregular impedance waveguide theory; longitudinally inhomogeneous waveguides; mode conversion; ohmic losses; ordinary differential equations; quality factor; sub-millimeter range; transverse expansions; Boundary conditions; Cavity resonators; Gyrotrons; Impedance; Optical waveguides; Q-factor; Neumann´s and Dirichlet´s problems; cross-section methods; gyrotron cavities; impedance boundary conditions; irregular waveguides; lossy waveguides; quality factors; terahertz gyrotrons; terahertz radiation;

fLanguage

English

Publisher

ieee

Conference_Titel

Mathematical Methods in Electromagnetic Theory (MMET), 2014 International Conference on

Conference_Location

Dnipropetrovsk

Print_ISBN

978-1-4799-6863-3

Type

conf

DOI

10.1109/MMET.2014.6928738

Filename

6928738