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.
- Crank-Nicolson scheme
- Maxwell-Schrödinger system
- Multiscale asymptotic method
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)