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- W4306858969 abstract "We present a new numerical scheme to solve the Helmholtz equation in a wave-guide. We consider a medium that is bounded in the $x_2$-direction, unbounded in the $x_1$-direction and $varepsilon$-periodic for large $|x_1|$, allowing different media on the left and on the right. We suggest a new numerical method that is based on a truncation of the domain and the use of Bloch wave ansatz functions in radiation boxes. We prove the existence and a stability estimate for the infinite dimensional version of the proposed problem. The scheme is tested on several interfaces of homogeneous and periodic media and it is used to investigate the effect of negative refraction at the interface of a photonic crystal with a positive effective refractive index." @default.
- W4306858969 created "2022-10-20" @default.
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- W4306858969 date "2017-08-21" @default.
- W4306858969 modified "2023-10-16" @default.
- W4306858969 title "A Bloch wave numerical scheme for scattering problems in periodic wave-guides" @default.
- W4306858969 doi "https://doi.org/10.48550/arxiv.1708.06427" @default.
- W4306858969 hasPublicationYear "2017" @default.
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