IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

A Multiscale Method for Optical Responses of Nano Structures

  • March 21, 2014
  • 9:50 a.m.
  • LeConte 312

Abstract

We introduce a new framework for the multiphysical modeling and multiscale compu- tation 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 ̀ˆodinger 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 field as well as current and electron densities simultaneously. A self-consistent multiscale method is proposed to deal with the well separated space scales. Numerical examples are presented to illustrate the resonant condition.

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