Squeeze Operators in Classical Scenarios

Authors

Jorge A. Anaya-Contreras, Instituto Polit´ecnico Nacional, ESFM, Departamento de F´ısica. Edificio 9, Unidad Profesional Adolfo L´opez Mateos, CP 07738 CDMX, MexicoFollow
Arturo Zu´niga-Segundo, Instituto Polit´ecnico Nacional, ESFM, Departamento de F´ısica. Edificio 9, Unidad Profesional Adolfo L´opez Mateos, CP 07738 CDMX, MexicoFollow
Francisco Soto-Eguibar, Instituto Nacional de Astrof´ısica, Optica y Electr´onica, Calle Luis Enrique Erro 1, Santa Mar´´ ıa Tonantzintla, Puebla, 72840, MexicoFollow
V´ıctor Arrizon, Instituto Nacional de Astrof´ısica, Optica y Electr´onica, Calle Luis Enrique Erro 1, Santa Mar´´ ıa Tonantzintla, Puebla, 72840, MexicoFollow

Author Country (or Countries)

Mexico

Abstract

We analyse the paraxial field propagation in the realm of classical optics, showing that it can be written as the action of the fractional Fourier transform, followed by the squeeze operator applied to the initial field. Secondly, we show that a wavelet transform may be viewed as the application of a displacement and squeeze operator onto the mother wavelet function.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130205

Recommended Citation

A. Anaya-Contreras, Jorge; Zu´niga-Segundo, Arturo; Soto-Eguibar, Francisco; and Arrizon, V´ıctor (2019) "Squeeze Operators in Classical Scenarios," Applied Mathematics & Information Sciences: Vol. 13: Iss. 2, Article 5.
DOI: http://dx.doi.org/10.18576/amis/130205
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss2/5