Title :
Open cylindrical resonator: volume singular integral equations technique
Author :
Melezhik, P. ; Poyedinchuk, A. ; Svishchov, Yu. ; Tarapov, S.
Author_Institution :
Inst. of Radiophys. & Electron., Nat. Acad. of Sci. of Ukraine, Kharkov, Ukraine
Abstract :
The spectral problem for complex eigen frequencies and eigen oscillations of open cylindrical dielectric resonator with the rounded edges is solved. Using the volume singular integral equations technique we reduced the task to the system of integro-differential 2D-equations relatively to n-th harmonics of azimuth components of eigen oscillations. It is proved that the kernels of corresponding integral operators have a logarithm-kind singularity. The numerical algorithm for the calculation of complex eigen frequencies is elaborated.
Keywords :
dielectric resonators; integral equations; integro-differential equations; azimuth component harmonics; eigen frequency; eigen oscillations; integrodifferential 2D equations; logarithm kind singularity; numerical algorithm; open cylindrical dielectric resonator; rounded edges; volume singular integral equations technique; Azimuth; Dielectric materials; Frequency; H infinity control; Integral equations; Kernel; Maxwell equations; Optical polarization; Permeability; Permittivity;
Conference_Titel :
Physics and Engineering of Microwaves, Millimeter, and Submillimeter Waves, 2004. MSMW 04. The Fifth International Kharkov Symposium on
Print_ISBN :
0-7803-8411-3
DOI :
10.1109/MSMW.2004.1345869
