Laser cavity with a Van der Pol dynamics

Authors

  • M. Lozano Depto. de Actuaria, Fisica y Matematicas, Universidad de las Americas Puebla, Puebla, Mexico 72810.
  • A. Kir’yanov National University of Science and Technology ”MISIS”, Moscow 119049, Russian Federation.
  • A. Pisarchik Center for Biomedical Technology, Technical University of Madrid,
  • V. Aboites Centro de Investigaciones en Optica,

DOI:

https://doi.org/10.31349/RevMexFis.67.154

Keywords:

Van der Pol map, phase conjugate, Laser Dynamics

Abstract

In this article, a beam within a ring phase conjugated laser is described by means of a Van der Pol bidimensional dynamic map using an ABCD matrix approach. Explicit expressions for the intracavity chaos-generating matrix elements were obtained; furthermore, computer calculations for different values of Van der Pol map’s parameters were made. The rich dynamic behavior displays periodicity when the parameter ¹ (which determines the non-inearity term) takes values around zero. These results were observed in phase diagrams and in diagrams of the optical thickness of the intracavity element.

Author Biography

M. Lozano, Depto. de Actuaria, Fisica y Matematicas, Universidad de las Americas Puebla, Puebla, Mexico 72810.

Vicente Aboites (1959) Como reconocimiento a su trayectoria profesional fue nombrado FELLOW del Institute of Physics, U.K.  Se graduó como físico en la Universidad Autónoma Metropolitana y como filósofo en la Universidad de Londres.  Realizó investigación doctoral en el Laboratorio Rutherford en Oxfordshire, presentando su tesis en la Universidad de Essex en Inglaterra.  Realizó estudios de especialidad en la Universidad de París y un post-doctorado en la Universidad de Berlín.  Fue Fellow Maria Curie del Imperial College de Londres.  En 1986 fundó el Laboratorio de Láseres de Centro de Investigaciones en Optica (CIO) en donde es actualmente Profesor e Investigador Titular.  Ha sido investigador visitante  y docente del Centro de Investigación en Matemáticas (CIMAT) y de las Facultades de Filosofía, Física y Matemáticas de la Universidad de Guanajuato entre otras instituciones nacionales y extranjeras.  Ha publicado quince libros y más de cien artículos internacionales con estricto refereo.  Es Fellow de Institute of Physics (U.K.) y miembro de la Sociedad Británica para la Filosofía de la Ciencia, del Sistema Nacional de Investigadores y de la Academia Mexicana de Ciencias.  

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Published

2021-01-07

How to Cite

[1]
M. Lozano, A. Kir’yanov, A. Pisarchik, and V. Aboites, “Laser cavity with a Van der Pol dynamics”, Rev. Mex. Fís., vol. 67, no. 1 Jan-Feb, pp. 154–161, Jan. 2021.

Issue

Vol. 67 No. 1 Jan-Feb (2021): Revista Mexicana de Física

Section

13 Optics

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Copyright (c) 2021 Vicente Aboites

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