IJPAM: Volume 83, No. 5 (2013)

GAUSSIAN BEAM IN
HIGHLY NONLOCAL NONLINEAR MEDIUM

M. Mishra, P.P. Paltani, B. Singh, K. Singh
Department of Humanities & Sciences
Faculty of Engineering & Technology
Mody Institute of Technology & Science
Lakshmangarh, Rajasthan, 332311, INDIA

Proceedings of
NCRTMSA - 2012


Abstract. The spatial solitons are generated due to perfectly balance between the nonlinear effect and the diffraction in optical waveguide, when high energy optical beam propagated through it. When the medium's response of nonlinearity is instantaneous then it is called local nonlinear medium, otherwise it is called nonlocal nonlinear medium. An attempt has been made to investigate the propagation characteristics of Gaussian beam in highly nonlocal nonlinear media. The optical beam propagation has been modeled by well known nonlocal nonlinear equation (NNLSE). The variational method is employed to obtain various first order differential equations showing the variation of free pulse parameter along the propagation distance and critical power for soliton propagation has also been obtained.

Received: January 10, 2013

AMS Subject Classification: 78A60

Key Words and Phrases: nonlocal solitons, variational method

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DOI: 10.12732/ijpam.v83i5.10 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 83
Issue: 5