Determination of eigenmodes by using Cauchy's integralformula
O. Conradi
Abstract
O. Conradi
Abstract
A deterministic method is proposed for the computation of zeros within a complex plane by using Cauchy's theorem. The integrals have been calculated for different numbers of integration points by the Gaussian integration formula. As an example, several eigenmodes of a TE/TM mode splitter have been determined by the proposed method.
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A deterministic method is proposed for the computation of zeros within a complex plane by using Cauchy's theorem. The integrals have been calculated for different numbers of integration points by the Gaussian integration formula. As an example, several eigenmodes of a TE/TM mode splitter have been determined by the proposed method.
Key concepts: Cauchy's integral formula, Residue theorem, Cauchy distribution, Splitter, Computation, Mathematics, Cauchy's integral theorem, Gaussian integral