TY - JOUR
T1 - Multiscale Computations for the Maxwell–Schrödinger System in Heterogeneous Nanostructures
AU - Ma , Chupeng
AU - Huang , Jizu
AU - Cao , Liqun
AU - Lin , Yanping
JO - Communications in Computational Physics
VL - 5
SP - 1443
EP - 1469
PY - 2020
DA - 2020/03
SN - 27
DO - http://doi.org/10.4208/cicp.OA-2019-0004
UR - https://global-sci.org/intro/article_detail/cicp/15770.html
KW - Maxwell–Schrödinger system, homogenization, multiscale asymptotic method, Crank–Nicolson scheme.
AB - <p style="text-align: justify;">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–Sch<span style="text-align: justify;">ö</span>dinger system and prove the existence of solutions
to the discrete system. Numerical examples are given to validate the efficiency and accuracy of the algorithm.</p>