NUMERICAL ANALYSIS OF NONLINEAR INTERACTIONS

Abstract

The theories of parametric and nonlinear interactions are often limited to small signal analysis of ideal lossless systems. We have presented large signal analysis to ideal three1,2 and four3,4 wave parametric interactions, still treating the systems as lossless. The analysis was in terms of Jacobian elliptic functions which are often not readily available. The objective of this paper is to show that the solution of these large signal analysis can be obtained very easily and accurately by numerical analysis, and extended further to include the effect of losses. In this paper, we use stimulated Brillouin scattering and phase conjugation as example for demonstration.