Title :
Application of the Arnoldi method in FDFD analysis of periodic guided-wave structure
Author :
Xu, Feng ; Wu, Ke
Author_Institution :
Dept. of Electr. Eng., Ecole Polytechnique, Montreal, Que., Canada
Abstract :
This paper shows how to apply the Arnoldi method in accelerating the calculation of standard matrix eigenvalue problem with a highly sparse and structured matrix, which is formed when a finite difference frequency domain (FDFD) method is used to analyze the properties of periodic guided-wave structures. In most cases, the FDFD method for the analysis of periodic guided-wave structures will lead to a generalized nonsymmetrical sparse eigenvalue problem. A shift-and-invert Arnoldi method is applied for large nonsymmetrical generalized eigenvalue problems. The application of the Arnoldi technique makes the FDFD method more accurate, fast and practical.
Keywords :
eigenvalues and eigenfunctions; finite difference methods; frequency-domain analysis; periodic structures; sparse matrices; waveguide theory; finite difference frequency domain analysis; generalized nonsymmetrical sparse eigenvalue problem; matrix eigenvalue problem; periodic guided-wave structure; shift-and-invert Arnoldi method; sparse matrix; structured matrix; Acceleration; Attenuation; Design engineering; Eigenvalues and eigenfunctions; Finite difference methods; Frequency domain analysis; Partial differential equations; Periodic structures; Radio frequency; Sparse matrices;
Conference_Titel :
Microwave Conference, 2005 European
Print_ISBN :
2-9600551-2-8
DOI :
10.1109/EUMC.2005.1610130
