EURASIP Journal on Applied Signal Processing 
Volume 2005 (2005), Issue 10, Pages 1485-1497
doi:10.1155/ASP.2005.1485

DSP Approach to the Design of Nonlinear Optical Devices

Geeta Pasrija, Yan Chen, Behrouz Farhang-Boroujeny, and Steve Blair

 Department of Electrical and Computer Engineering, University of Utah, Salt Lake City 84112, UT, USA
Received 5 April 2004; Revised 19 October 2004

Abstract

Discrete-time signal processing (DSP) tools have been used to analyze numerous optical filter configurations in order to optimize their linear response. In this paper, we propose a DSP approach to design nonlinear optical devices by treating the desired nonlinear response in the weak perturbation limit as a discrete-time filter. Optimized discrete-time filters can be designed and then mapped onto a specific optical architecture to obtain the desired nonlinear response. This approach is systematic and intuitive for the design of nonlinear optical devices. We demonstrate this approach by designing autoregressive (AR) and autoregressive moving average (ARMA) lattice filters to obtain a nonlinear phase shift response.