Year: 2020
Author: Chupeng Ma, Jizu Huang, Liqun Cao, Yanping Lin
Communications in Computational Physics, Vol. 27 (2020), Iss. 5 : pp. 1443–1469
Abstract
In this paper, we study the multiscale computations for the Maxwell– Schrödinger system with rapidly oscillating coefficients under the dipole approximation that describes light-matter interaction in heterogeneous nanostructures. The multiscale asymptotic method and an associated numerical algorithm for the system are presented. We propose an alternating Crank–Nicolson finite element method for solving the homogenized Maxwell–Schödinger system and prove the existence of solutions to the discrete system. Numerical examples are given to validate the efficiency and accuracy of the algorithm.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2019-0004
Communications in Computational Physics, Vol. 27 (2020), Iss. 5 : pp. 1443–1469
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Maxwell–Schrödinger system homogenization multiscale asymptotic method Crank–Nicolson scheme.