Finite-Difference Time-Domain Calculations Based on Recursive Convolution Approach for Propagation of Electromagnetic Waves in Nonlinear Dispersive Media
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 30, 1997
- Accession Number
- ADA336967
Entities
People
- Jeff Macgillivray
- S. J. Yakura
Organizations
- Air Force Research Laboratory