A Model for Simulating Frequency Conversion in Nonlinear Optical Media
by
Khaled M. Furati
King Fahd University of Petroleum and Minerals

Due to the rapid evolution of optical communications, interest in understanding nonlinear effects has grown enormously. In particular, there is an interest to characterize the frequency conversion due to the material second-order nonlinearity. In this paper we propose a time-domain model for simulating this phenomena.

The model is a nonlinear wave equation with a source term that involves the time second derivative of the square of the field. When the equation is discretized at a given time level, we get a nonlinear finite difference equation that can be written as a quadratic polynomial for the values at the next time level. Using the exact solution of the quadratic polynomial, we obtain a second order explicit scheme for calculating the total field. Having the total field, we can conduct Fourier analysis to characterize the harmonics.

Date received: January 21, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeb-07.