  This paper discusses the multiscale approach and the convergence of the
time-dependent Maxwell-Schr\"{o}dinger 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.
