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Proceedings Paper

Fractal properties of optical fields
Author(s): S. I. De los Santos Garcia; M. Torres Rodriguez; J. Munoz Lopez; P. Martinez Vara; G. Martínez-Niconoff
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Paper Abstract

In the time-spatial evolution of optical fields, can be detected compression effects in the amplitude function. These confinements induce changes in the phase function and consequently variations in the effective refractive index, being dominants in the neighborhood of the focusing regions. In present work we describe the changes in the refractive index using the logistic equation, this point of view, allows an analysis of the structural stability of the optical field. As an important result, we associate to the phase function, fractal properties and propose for the calculus of the dimension a relation among the arc length of the boundary condition with its corresponding arc length for the focusing region, this concepts are matched related with the evolution of entropy in the optical field. We show that the compression effects are associated with the generation of novel effects such as self-refraction processes.

Paper Details

Date Published:
PDF: 7 pages
Proc. SPIE 9961, Reflection, Scattering, and Diffraction from Surfaces V, 996112; doi: 10.1117/12.2238204
Show Author Affiliations
S. I. De los Santos Garcia, Instituto Nacional de Astrofísica, Óptica y Electrónica (Mexico)
M. Torres Rodriguez, Instituto Nacional de Astrofísica, Óptica y Electrónica (Mexico)
J. Munoz Lopez, Instituto Nacional de Astrofísica, Óptica y Electrónica (Mexico)
P. Martinez Vara, Benemérita Univ. Autónoma de Puebla (Mexico)
G. Martínez-Niconoff, Instituto Nacional de Astrofísica, Óptica y Electrónica (Mexico)


Published in SPIE Proceedings Vol. 9961:
Reflection, Scattering, and Diffraction from Surfaces V
Leonard M. Hanssen, Editor(s)

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