Title :
Improved analysis of modulation instability in fiber optics
Author_Institution :
Comput. Sci. Dept., Lahore Univ. of Manage. Sci., Pakistan
Abstract :
In this paper an improved analysis for the interaction of optical wave with noise, commonly known as modulation instability, is presented. Nonlinear Schrodinger equation (NLSE), that governs this process, is solved with fewer approximations. It is shown that the coupled wave equations that result from NLSE lead to Riccati´s differential equation. A semianalytical solution of Riccati´s equation is obtained for small fiber length that results in efficient computation of the modulation instability effect.
Keywords :
Riccati equations; Schrodinger equation; differential equations; nonlinear optics; optical fibres; optical modulation; optical noise; stability; Riccati´s differential equation; coupled wave equation; efficient computation; fiber optics; improved analysis; modulation instability; nonlinear Schrodinger equation; optical noise; optical wave interaction; semianalytical solution; Differential equations; Fiber nonlinear optics; Nonlinear equations; Nonlinear optics; Optical fibers; Optical modulation; Optical noise; Partial differential equations; Riccati equations; Schrodinger equation;
Conference_Titel :
Lasers and Electro-Optics, 2003. CLEO/Pacific Rim 2003. The 5th Pacific Rim Conference on
Print_ISBN :
0-7803-7766-4
DOI :
10.1109/CLEOPR.2003.1274549
