Evolution of rectangular and triangular initial beam profiles in positive Kerr local medium

M. Hesami, M. Avazpour, M. M. Méndez Otero, J. Jesús Arriaga Rodríguez

Abstract


The hyperbolic secant (Sech) shape, as the initial beam profile, is the well-know profile that compensates the diffraction and self-focusing effect during propagation in Kerr medium, and evolves as the bright spatial soliton. The Sech beam can be confined in the Kerr medium and
induces its own waveguide. In this work, two initial beam profiles, rectangular and triangular functions, that are different than Sech profile, are considered, and the propagation of these beam profiles in third-order nonlinear (Kerr) medium is investigated. As a result, the initial
beam-width played an important role in confining the beam profiles in direction of propagation. In addition, the intensity profiles change to the Sech profile after some initial step of propagation. All the calculations and simulations have been done by the Split-Step numerical
method with MATLAB program.


Keywords


Spatial soliton, Temporal Soliton, Split-Step Method-

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DOI: https://doi.org/10.31349/SuplRevMexFis.1.13

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Suplemento de la Revista Mexicana de Física

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