Dynamics of nonlinear pulse propagation through a fiber Bragg grating with linear coupling

Senthilnathan, Krishnamoorthy ; Malathi, Poongavanam ; Porsezian, Kuppuswamy (2003) Dynamics of nonlinear pulse propagation through a fiber Bragg grating with linear coupling Journal of the Optical Society of America B, 20 (2). pp. 366-372. ISSN 0740-3224

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Official URL: http://www.opticsinfobase.org/abstract.cfm?URI=JOS...

Related URL: http://dx.doi.org/10.1364/JOSAB.20.000366

Abstract

We consider nonlinear pulse propagation through a fiber Bragg grating with Kerr nonlinearity and linear coupling effects. Using the Stokes parameters, we obtain a set of four equations from the nonlinear coupled-mode equations. From these equations we find the relation for energy density of a gap soliton and construct a quartic anharmonic oscillator equation after finding the appropriate conserved quantities. With the help of the anharmonic oscillator equation we investigate the bright gap soliton solution and as a special case we also obtain another bright gap soliton solution that resembles the solutions of two coupled nonlinear equations for the envelopes of the fundamental and the second-harmonic field components. Moreover, we analyze the motion of the photon in two different potential wells. Finally, we carry out a linear stability analysis to study the stability of the system.

Item Type:Article
Source:Copyright of this article belongs to Optical Society of America.
ID Code:83933
Deposited On:23 Feb 2012 12:35
Last Modified:23 Feb 2012 12:35

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