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Study of nonlinear dissipative pulse propagation under the combined effect of two-photon absorption and gain dispersion: A variational approach involving Rayleigh's dissipation function

IR@CGCRI: CSIR-Central Glass and Ceramic Research Institute, Kolkata

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Title Study of nonlinear dissipative pulse propagation under the combined effect of two-photon absorption and gain dispersion: A variational approach involving Rayleigh's dissipation function
 
Creator Roy, Samudra
Bhadra, Shyamal Kumar
 
Subject Crystal Chemistry, Thermodynamics, Phase Equilibria
 
Description We try to derive some explicit equations for predicting the laws which govern the evolution of different parameters of a propagating optical pulse in a nonlinear medium under the combined influence of two-photon absorption and gain dispersion. Using the generalized Euler-Lagrange equation, the dynamics of different pulse parameters are generated. The Rayleigh's dissipation function is incorporated in order to take recourse to the dissipative part, with an analogy with the non-conservative frictional problem in classical mechanics. It appears from the study that the influence of the dissipative part can well be explained using the proposed model. The analytically predicted results are compared with the numerical data obtained from direct simulation of the Ginzburg-Landau equation and the results are found to be quite satisfactory, supporting the prediction.
 
Publisher Elsevier
 
Date 2007-08-15
 
Type Article
PeerReviewed
 
Format application/pdf
 
Identifier http://cgcri.csircentral.net/609/1/samudra.pdf
Roy, Samudra and Bhadra, Shyamal Kumar (2007) Study of nonlinear dissipative pulse propagation under the combined effect of two-photon absorption and gain dispersion: A variational approach involving Rayleigh's dissipation function. Physica D-Nonlinear Phenomena, 232 (2). pp. 103-107. ISSN 0167-2789
 
Relation http://www.sciencedirect.com/science/journal/01672789/232/2
http://cgcri.csircentral.net/609/