Title :
Electromagnetic oscillations in a cavity with a nonlinear dielectric
Author :
Tretyakov, Oleg A. ; Chumachenko, Svetlana V.
Author_Institution :
Kharkov State Univ., Ukraine
Abstract :
The thesis is devoted to problems of solving Maxwell´s equations in the cavities containing nonlinear medium. The cylindrical cavity with a bounding surface of the complicated form is considered. With the purpose of obtaining a solution the method of evolutionary equations (or method of modal basis) is used. It allows one to investigate the cavities with time-varying or nonlinear mediums and without the limitations on the constitutive relations and on the functions of impressed sources, namely: to take into account all time-varying or nonlinear effects in mechanisms of polarization, magnetization and conductivity of a medium, that results in faithful representations for the unknown electromagnetic field
Keywords :
Maxwell equations; cavity resonators; dielectric resonators; electromagnetic fields; electromagnetic oscillations; electromagnetic wave polarisation; Maxwell´s equations; bounding surface; conductivity; cylindrical cavity; electromagnetic oscillations; magnetization; method of evolutionary equations; method of modal basis; nonlinear dielectric; polarization; time-varying mediums; unknown electromagnetic field; Dielectrics; Eigenvalues and eigenfunctions; Electromagnetic fields; Electromagnetic wave polarization; Integral equations; Laplace equations; Magnetization; Maxwell equations; Nonlinear equations; Problem-solving;
Conference_Titel :
Physics and Engineering of Millimeter and Sub-Millimeter Waves, 2001. The Fourth International Kharkov Symposium on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-6473-2
DOI :
10.1109/MSMW.2001.946776