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Title: The FLAME-slab method for electromagnetic wave scattering in aperiodic slabs
Authors: Mansha, Shampy
Tsukerman, Igor
Chong, Yi Dong
Keywords: Photonic Crystals
Computational Electromagnetic Methods
Issue Date: 2017
Source: Mansha, S., Tsukerman, I., & Chong, Y. D. (2017). The FLAME-slab method for electromagnetic wave scattering in aperiodic slabs. Optics Express, 25(26), 32602-. doi:10.1364/OE.25.032602
Series/Report no.: Optics Express
Abstract: The proposed numerical method, “FLAME-slab,” solves electromagnetic wave scattering problems for aperiodic slab structures by exploiting short-range regularities in these structures. The computational procedure involves special difference schemes with high accuracy even on coarse grids. These schemes are based on Trefftz approximations, utilizing functions that locally satisfy the governing differential equations, as is done in the Flexible Local Approximation Method (FLAME). Radiation boundary conditions are implemented via Fourier expansions in the air surrounding the slab. When applied to ensembles of slab structures with identical short-range features, such as amorphous or quasicrystalline lattices, the method is significantly more efficient, both in runtime and in memory consumption, than traditional approaches. This efficiency is due to the fact that the Trefftz functions need to be computed only once for the whole ensemble.
DOI: 10.1364/OE.25.032602
Rights: © 2017 Optical Society of America under the terms of the OSA Open Access Publishing Agreement.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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