We introduce a new framework for the multiphysical modeling and
multiscale computation of nano-optical responses. The semi-classical
theory treats the evolution of the electromagnetic field and the
motion of the charged particles self-consistently by coupling Maxwell
equations with Quantum Mechanics. To overcome the numerical challenge
of solving high dimensional many body Schr odinger equations involved,
we adopt the Time Dependent Current Density Functional Theory
(TD-CDFT). In the regime of linear responses, this leads to a linear
system of equations determining the electromagnetic eld as well as the
current and electron densities simultaneously. A self-consistent
multiscale method is proposed to deal with the well separated space
scales. Numerical examples arepresented to illustrate the resonant
condition.