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Optical soliton-like structures resulting from the nonlinear Schr¨odinger’s equation with saturable law nonlinearity |
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PP: 1-16 |
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Author(s) |
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Dawn A. Lott,
Auris Henriquez,
Benjamin J.M. Sturdevant,
Anjan Biswas,
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Abstract |
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| An analytical and numerical investigation of the propagation of optical beams in Kerr
term-like saturable photorefractive media is performed. The major problem studied
is the instability of beam propagation in nonlinear self-focusing optical media. The
numerical technique employed is the Runge-Kutta finite-difference method. The re-
sulting soliton-like structures propagate and develop modulational instabilities which
lead to the breakup of simple beam arrangements into more complex ones. The di-
rect numerical simulation of the nonlinear Schr¨odinger’s equation with saturable law
nonlinearity is performed and the results are compared to soliton-like structures result-
ing from square-root law nonlinearity. Gaussian, super-Gaussian, sech and super-sech
pulses are obtained. In addition, the ordinary differential equation that is obtained by
the traveling wave ansatz is also studied numerically, with appropriate initial condition,
leading to a non-traveling wave-like solution |
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