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

Authors

  • M. Hesami Instituto de Física” Ing. Luis Rivera Terrazas”, Benemérita Universidad Autónoma de Puebla, Av. San Claudia Y BLVD. 18 sur, Col. San Manuel, C.P. 72570, Puebla, Puebla, México http://orcid.org/0000-0001-5191-0512
  • M. Avazpour Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Av. San Claudio y 18 Sur. Col San Manuel, C.P. 72570, Puebla, Puebla, México http://orcid.org/0000-0002-6284-5151
  • M. M. Méndez Otero Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Av. San Claudio y 18 Sur. Col San Manuel, C.P. 72570, Puebla, Puebla, México http://orcid.org/0000-0003-0072-8897
  • J. Jesús Arriaga Rodríguez Instituto de Física” Ing. Luis Rivera Terrazas”, Benemérita Universidad Autónoma de Puebla Av. San Claudia Y BLVD. 18 sur, Col. San Manuel, C.P. 72570, Puebla, Puebla, México

DOI:

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

Keywords:

Spatial soliton, Temporal Soliton, Split-Step Method-

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.

Author Biographies

M. Hesami, Instituto de Física” Ing. Luis Rivera Terrazas”, Benemérita Universidad Autónoma de Puebla, Av. San Claudia Y BLVD. 18 sur, Col. San Manuel, C.P. 72570, Puebla, Puebla, México

Instituto de Física” Ing. Luis Rivera Terrazas”, Benemérita Universidad Autónoma de Puebla

M. Avazpour, Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Av. San Claudio y 18 Sur. Col San Manuel, C.P. 72570, Puebla, Puebla, México

Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla

M. M. Méndez Otero, Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Av. San Claudio y 18 Sur. Col San Manuel, C.P. 72570, Puebla, Puebla, México

Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla

J. Jesús Arriaga Rodríguez, Instituto de Física” Ing. Luis Rivera Terrazas”, Benemérita Universidad Autónoma de Puebla Av. San Claudia Y BLVD. 18 sur, Col. San Manuel, C.P. 72570, Puebla, Puebla, México

Instituto de Física” Ing. Luis Rivera Terrazas”, Benemérita Universidad Autónoma de Puebla

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Published

2020-05-26

How to Cite

1.
Hesami M, Avazpour M, Méndez Otero MM, Rodríguez JJA. Evolution of rectangular and triangular initial beam profiles in positive Kerr local medium. Supl. Rev. Mex. Fis. [Internet]. 2020 May 26 [cited 2024 Nov. 24];1(1):13-7. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/4839

Issue

Vol. 1 No. 1 (2020): Suplemento de la Revista Mexicana de Física. Second International Congress ”Light Science Art” (II-CILCA)

Section

01 Second International Congress ”Light Science Art” (II-CILCA)

License

Copyright (c) 2020 Majid Hesami, Mahrokh Avazpour, Marcela. Maribel Méndez Otero, J. Jesús Arriaga Rodríguez

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Authors retain copyright and grant the Suplemento de la Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.