Multiscale computations for the maxwell-schrödinger system in heterogeneous nanostructures

Chupeng Ma, Jizhou Huang, Liqun Cao, Yanping Lin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

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.

Original languageEnglish
Pages (from-to)1443-1469
Number of pages27
JournalCommunications in Computational Physics
Volume27
Issue number5
DOIs
Publication statusPublished - May 2020

Keywords

  • Crank-Nicolson scheme
  • Homogenization
  • Maxwell-Schrödinger system
  • Multiscale asymptotic method

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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