Title

Ermakov-Lewis symmetry in photonic lattices

Authors

Authors

B. M. Rodriguez-Lara; P. Aleahmad; H. M. Moya-Cessa;D. N. Christodoulides

Comments

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Abbreviated Journal Title

Opt. Lett.

Keywords

DEPENDENT HARMONIC-OSCILLATOR; EXACT INVARIANTS; SYSTEMS; Optics

Abstract

We present a class of waveguide arrays that is the classical analog of a quantum harmonic oscillator, where the mass and frequency depend on the propagation distance. In these photonic lattices, refractive indices and second-neighbor couplings define the mass and frequency of the analog quantum oscillator, while first-neighbor couplings are a free parameter to adjust the model. The quantum model conserves the Ermakov-Lewis invariant, thus the photonic crystal also possesses this symmetry. (C) 2014 Optical Society of America

Journal Title

Optics Letters

Volume

39

Issue/Number

7

Publication Date

1-1-2014

Document Type

Article

DOI Link

http://dx.doi.org/10.1364/ol.39.002083

Language

English

First Page

2083

Last Page

2085

WOS Identifier

WOS:000333887800096

ISSN

0146-9592

Recommended Citation

"Ermakov-Lewis symmetry in photonic lattices" (2014). Faculty Bibliography 2010s. 6012.
https://stars.library.ucf.edu/facultybib2010/6012