A simple and rigorous verification technique for nonlinear FDTD algorithms by optical parametric fourwave mixing

Abstract

A rigorous quantitative verification technique is presented for nonlinear finite-difference time-domain (FDTD) algorithms by analyzing parametric four-wave mixing (FWM) in an optical Kerr medium without involving other numerical techniques. This technique allows quick and reliable verification of complicated nonlinear FDTD algorithms, hence enhancing the application of nonlinear FDTD analysis to more realistic optical problems.