The FLAME-slab method for electromagnetic wave scattering in aperiodic slabs
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.
Cite
@article{arxiv.1711.01743,
title = {The FLAME-slab method for electromagnetic wave scattering in aperiodic slabs},
author = {Shampy Mansha and Igor Tsukerman and Y. D. Chong},
journal= {arXiv preprint arXiv:1711.01743},
year = {2017}
}
Comments
Various typos were corrected. Minor inconsistencies throughout the manuscript were fixed. In Section II B. Additional description regarding choice of Trefftz cell, was added. In Section III A. Detailed description about units (used in our calculation) was added