
Accession Number : ADA336967
Title : FiniteDifference TimeDomain Calculations Based on Recursive Convolution Approach for Propagation of Electromagnetic Waves in Nonlinear Dispersive Media
Descriptive Note : Final rept. MayOct 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 finitedifference timedomain (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 thirdorder 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