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.
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