Accession Number : ADA336967

Title :   Finite-Difference Time-Domain Calculations Based on Recursive Convolution Approach for Propagation of Electromagnetic Waves in Nonlinear Dispersive Media

Descriptive Note : Final rept. May-Oct 97

Corporate Author : AIR FORCE RESEARCH LAB KIRTLAND AFB NMDIRECTED ENERGY DIRECTORATE

Personal Author(s) : Yakura, S. J. ; MacGillivray, Jeff

PDF Url : ADA336967

Report Date : 30 OCT 1997

Pagination or Media Count : 30

Abstract : The piecewise linear recursive convolution (PLRC) approach has been shown to provide much improved accuracy over the usual discrete recursive convolution approach while retaining the efficient use of computer memory storage and fast computational speed for finite-difference time-domain (FDTD) electromagnetic propagation calculations for linear dispersive materials. In this paper, an idea behind the implementation of the PLRC approach is extended to handle nonlinear dispersive media, specifically for the convolution integral that depends on the product of the electric field squared and the third-order electric susceptibility function. Compared to linear dispersive material, where one has a simple linear relationship for the next time step electric field as a function of the previous time step electric field, the nonlinear dispersive material case has a cubic equation for the next time step electric field as a function of the previous time step electric field. Consequently, the cubic equation must be solved at successive times to advance the electric field in the next time step.

Descriptors :   *ELECTRIC FIELDS, *NONLINEAR OPTICS, TIME DEPENDENCE, LASER BEAMS, FINITE DIFFERENCE THEORY, NONLINEAR SYSTEMS, LIGHT PULSES, RECURSIVE FUNCTIONS, LIGHT TRANSMISSION, MAXWELLS EQUATIONS, TIME DOMAIN, SOLITONS.

Subject Categories : Optics
      Electricity and Magnetism

Distribution Statement : APPROVED FOR PUBLIC RELEASE