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- W2893821704 abstract "We provide a functional framework and a numerical algorithm to compute the Bloch variety for Maxwell's equations when the electric permittivity is frequency dependent. We incorporate the idea of a mixed formulation for Maxwell's equations to obtain a quadratic eigenvalue for the wave-vector in terms of the frequency. We reformulate this problem as a larger linear eigenvalue problem and prove that this results in the need to compute eigenvalues of a compact operator. Using finite elements, we provide preliminary numerical examples of the scheme for both frequency independent and frequency dependent permittivity." @default.
- W2893821704 created "2018-10-05" @default.
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- W2893821704 date "2018-09-24" @default.
- W2893821704 modified "2023-09-23" @default.
- W2893821704 title "Determination of electromagnetic Bloch modes in a medium with frequency-dependent coefficients" @default.
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