Abstract
In this paper, a refined shift-and-invert Arnoldi technique is used to speed the convergence rate of a large scale nonsymmetrical generalized eigenvalue problem by using refined Ritz vectors to approximate the desired eigenvectors. The finite difference frequency domain (FDFD) method combined with refined shift-and-invert Arnoldi can be used to analyze the properties of arbitrary complex close/open periodic guided-wave structures because an open periodic guided-wave structure probably results in a large scale nonsymmetrical generalized eigenvalue problem. Moreover, the accuracy of the method can be improved and the boundary conditions of FDTD method can be implemented easily even if in the case that the attenuation constant increases a lot in the working frequency range, for example, the case of leaky-wave antennas.
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