Analytical analysis of modulation instability in fiber optics

Analytical analysis of modulation instability in fiber optics

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 different...

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Main Authors: M. Saeed Aslam, M. Yousaf Hamza, Nadeem Sarwar
Format: Article
Language:English
Published: AIP Publishing LLC 2012-06-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4732510
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spelling doaj-d28ecf7b45a74b6c85e10f162afca2b82020-11-24T21:27:46ZengAIP Publishing LLCAIP Advances2158-32262012-06-0122022168022168-710.1063/1.4732510068202ADVAnalytical analysis of modulation instability in fiber opticsM. Saeed Aslam0M. Yousaf Hamza1Nadeem Sarwar2Pakistan Institute of Engineering and Applied Sciences, Nilore, Islamabad, PakistanPakistan Institute of Engineering and Applied Sciences, Nilore, Islamabad, PakistanNational Institute of Lasers and Optronics, PINSTECH, Islamabad, PakistanIn 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.http://dx.doi.org/10.1063/1.4732510
collection DOAJ
language English
format Article
sources DOAJ
author M. Saeed Aslam
M. Yousaf Hamza
Nadeem Sarwar
spellingShingle M. Saeed Aslam
M. Yousaf Hamza
Nadeem Sarwar
Analytical analysis of modulation instability in fiber optics
AIP Advances
author_facet M. Saeed Aslam
M. Yousaf Hamza
Nadeem Sarwar
author_sort M. Saeed Aslam
title Analytical analysis of modulation instability in fiber optics
title_short Analytical analysis of modulation instability in fiber optics
title_full Analytical analysis of modulation instability in fiber optics
title_fullStr Analytical analysis of modulation instability in fiber optics
title_full_unstemmed Analytical analysis of modulation instability in fiber optics
title_sort analytical analysis of modulation instability in fiber optics
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2012-06-01
description 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.
url http://dx.doi.org/10.1063/1.4732510
work_keys_str_mv AT msaeedaslam analyticalanalysisofmodulationinstabilityinfiberoptics
AT myousafhamza analyticalanalysisofmodulationinstabilityinfiberoptics
AT nadeemsarwar analyticalanalysisofmodulationinstabilityinfiberoptics
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