Fast and accurate analysis of whispering gallery modes by the finite difference frequency domain method

Author

Cwikla, A. ; Mrozowski, Michl

Author_Institution

Inst. of Electron. Telecommun. & Inf., Tech. Univ. Gdansk, Poland

Volume

2

fYear

2000

fDate

2000

Firstpage

473

Abstract

The analysis of whispering gallery modes in a cylindrical sapphire resonator is shown. The formulation involves only two components of the electric flux density. Using the FDFD method on Yee´s mesh, the electromagnetic problem is converted to a standard nonsymmetric matrix eigenvalue problem with a highly sparse and structured matrix. The resonant modes are found by means of the implicitly restarted Arnoldi method with Chebyshev acceleration. Is is shown that the application of Chebyshev preconditioning allows one to significantly reduce the computing time without increasing the memory cost

Keywords

dielectric resonators; eigenvalues and eigenfunctions; finite difference methods; frequency-domain analysis; sapphire; sparse matrices; Chebyshev acceleration; Chebyshev preconditioning; FDFD method; Yee mesh; cylindrical sapphire resonator; electric flux density; electromagnetic problem; finite difference frequency domain method; implicitly restarted Arnoldi method; nonsymmetric matrix eigenvalue problem; sparse structured matrix; whispering gallery modes; Anisotropic magnetoresistance; Chebyshev approximation; Costs; Dielectric losses; Eigenvalues and eigenfunctions; Finite difference methods; Frequency domain analysis; Geometry; Q factor; Whispering gallery modes;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwaves, Radar and Wireless Communications. 2000. MIKON-2000. 13th International Conference on

Conference_Location

Wroclaw

Print_ISBN

83-906662-3-5

Type

conf

DOI

10.1109/MIKON.2000.913972

Filename

913972