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3 June 2002 Polarization transverse-pattern dynamics in lasers and their classification based on the characterization of its singular points
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Abstract
Vectorial Karhunen-Loeve modes were used for the description of the polarization transverse pattern dynamics of the Zeeman multitransverse mode layer with large Fresnel number and anisotropic cavity. Stokes parameter distribution of the laser field in the transverse plane define new 2D vector field. Catastrophe theory and Newton diagram method were used for the classification of the laser field based on the characterization of the 2D vector field behavior in the vicinity of its singular points in the transverse plane. The results of numerical experiments show that the regimes with rotating patterns are closely connected with An catastrophe functions of argument r equals (root)(x2+PLUy2), where x,y are the transverse coordinates. For the oscillating patterns the regimes can be classified using Newton diagrams which are also connected with corresponding polynomials.
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Irina V. Veshneva, Leonid A. Melnikov, Maria V. Ryabinina, and Andrey I. Konukhov "Polarization transverse-pattern dynamics in lasers and their classification based on the characterization of its singular points", Proc. SPIE 4706, Saratov Fall Meeting 2001: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling II, (3 June 2002); https://doi.org/10.1117/12.469608
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