Jacobi photonic lattices and their SUSY partners
Optics
2014-01-13 v2 Quantum Physics
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 quantum optical analogy. 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.
Keywords
Cite
@article{arxiv.1310.5176,
title = {Jacobi photonic lattices and their SUSY partners},
author = {A. Zúñiga-Segundo and B. M. Rodríguez-Lara and David J. Fernández C. and H. M. Moya-Cessa},
journal= {arXiv preprint arXiv:1310.5176},
year = {2014}
}
Comments
8 pages, 6 figures