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 language | English |
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Pages (from-to) | 1443-1469 |
Number of pages | 27 |
Journal | Communications in Computational Physics |
Volume | 27 |
Issue number | 5 |
DOIs | |
Publication status | Published - May 2020 |
Keywords
- Crank-Nicolson scheme
- Homogenization
- Maxwell-Schrödinger system
- Multiscale asymptotic method
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)