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  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 7 — Apr. 1, 2014
  • pp: 2083–2085

Ermakov–Lewis symmetry in photonic lattices

B. M. Rodríguez-Lara, P. Aleahmad, H. M. Moya-Cessa, and D. N. Christodoulides  »View Author Affiliations


Optics Letters, Vol. 39, Issue 7, pp. 2083-2085 (2014)
http://dx.doi.org/10.1364/OL.39.002083


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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.

© 2014 Optical Society of America

OCIS Codes
(230.7370) Optical devices : Waveguides
(350.5500) Other areas of optics : Propagation
(230.4555) Optical devices : Coupled resonators
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Optical Devices

History
Original Manuscript: January 29, 2014
Revised Manuscript: February 28, 2014
Manuscript Accepted: March 3, 2014
Published: March 27, 2014

Citation
B. M. Rodríguez-Lara, P. Aleahmad, H. M. Moya-Cessa, and D. N. Christodoulides, "Ermakov–Lewis symmetry in photonic lattices," Opt. Lett. 39, 2083-2085 (2014)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-39-7-2083


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