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Analytical analysis of modulation instability in fiber optics
Author(s) -
Mubeen Aslam,
Muhammad Hamza,
Nadeem Sarwar
Publication year - 2012
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4732510
Subject(s) - instability , riccati equation , modulation (music) , optical fiber , physics , nonlinear schrödinger equation , computation , differential equation , modulational instability , noise (video) , nonlinear system , nonlinear optics , fiber , optics , mathematical analysis , mathematics , quantum mechanics , computer science , materials science , acoustics , image (mathematics) , algorithm , artificial intelligence , composite material
In this paper, an improved analysis for modulation instability, which results from interaction between optical wave and noise, is presented. It is shown that Nonlinear Schrodinger equation (NLSE), which governs this process, leads to the coupled wave equations that result to Riccati's differential equations. A completely analytical solution of Riccati's equation is obtained for small fiber length that results in efficient computation of the modulation instability effect

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