Laser cavity with a Van der Pol dynamics

M. Lozano ^[1] ; A. Kir'yanov ^[2] ; A. Pisarchik ^[4] ; V. Aboites ^[3]
1. [1] Universidad de las Américas Puebla
  
  Universidad de las Américas Puebla
  
  México
2. [2] National University of Science and Technology
  
  National University of Science and Technology
  
  Rusia
3. [3] Centro de Investigaciones en Óptica
  
  Centro de Investigaciones en Óptica
  
  México
4. [4] Technical University of Madri, Pozuelo de Alarcón, Madrid, Spain
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Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 67, Nº. 1, 2021, págs. 154-161
Idioma: inglés
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Resumen
- 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 µ (which determines the non-linearity term) takes values around zero. These results were observed in phase diagrams and diagrams of the optical thickness of the intracavity element.