Multiscale Approach and The Convergence for the time-dependent Maxwell-Schrödinger System in Heterogeneous Nanostructures
This work provides a numerical framework for simulating coupled electromagnetic and quantum dynamics in periodic nanostructures, which is relevant for nanophotonics and quantum device modeling.
The paper develops a multiscale asymptotic method and homogenization approach for the time-dependent Maxwell-Schrödinger system with rapidly oscillating coefficients in heterogeneous nanostructures, and validates the method through numerical simulations.
This paper discusses the multiscale approach and the convergence of the time-dependent Maxwell-Schrödinger system with rapidly oscillating discontinuous coefficients arising from the modeling of a heterogeneous nanostructure with a periodic microstructure. The homogenization method and the multiscale asymptotic method for the nonlinear coupled equations are presented. The efficient numerical algorithms based on the above methods are proposed. Numerical simulations are then carried out to validate the method presented in this paper.