Computing solenoidal eigenmodes of the vector Helmholtz equation: a novel approach

This paper presents a novel method for computing solenoidal eigenmodes and the corresponding eigenvalues of the vector Helmholtz equation. The method employs both vector and scalar finite-element basis functions to yield a discrete generalized eigenvalue problem that can be solved by standard iterative techniques. The technique is applicable for analysis of three-dimensional inhomogeneous resonant cavities.

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