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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 1 — Jan. 13, 2014
  • pp: 987–994

Jacobi photonic lattices and their SUSY partners

A. Zúñiga-Segundo, B. M. Rodríguez-Lara, David J. Fernández C., and H. M. Moya-Cessa  »View Author Affiliations


Optics Express, Vol. 22, Issue 1, pp. 987-994 (2014)
http://dx.doi.org/10.1364/OE.22.000987


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Abstract

We present a classical analog of quantum optical deformed oscillators in arrays of waveguides. The normal modes of these one-dimensional photonic crystals are given in terms of Jacobi polynomials. We show that it is possible to attack the problem via factorization by exploiting the corresponding quantum optical model. This allows us to provide an unbroken supersymmetric partner of the proposed Jacobi lattices. Thanks to the underlying SU(1, 1) group symmetry of the lattices, we present the analytic propagators and impulse functions for these one-dimensional photonic crystals.

© 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
(230.5298) Optical devices : Photonic crystals

ToC Category:
Photonic Crystals

History
Original Manuscript: October 21, 2013
Revised Manuscript: November 13, 2013
Manuscript Accepted: November 14, 2013
Published: January 9, 2014

Citation
A. Zúñiga-Segundo, B. M. Rodríguez-Lara, David J. Fernández C., and H. M. Moya-Cessa, "Jacobi photonic lattices and their SUSY partners," Opt. Express 22, 987-994 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-1-987


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