Twofold Pt Symmetry In Doubly Exponential Optical Lattices

Abstract

We introduce a family of non-Hermitian optical potentials that are given in terms of double-exponential periodic functions. The center of PT symmetry is not around zero and the potential satisfies a shifted PT-symmetry relation at two distinct locations. Motivated by wave transmission through thin phase screens and gratings, we examine these refractive index modulations from the perspective of optical lattices that are homogeneous along the propagation direction. The diffraction dynamics, abrupt phase transitions in the eigenvalue spectrum, and exceptional points in the band structure are examined in detail. In addition, the nonlinear properties of wave propagation in Kerr nonlinearity media are studied. In particular, coherent structures such as lattice solitons are numerically identified by applying the spectral renormalization method. The spatial symmetries of such lattice solitons follow the shifted PT-symmetric relations. Furthermore, such lattice solitons have a power threshold and their linear and nonlinear stabilities are critically dependent on their spatial symmetry point.

Publication Date

1-4-2016

Publication Title

Physical Review A

Volume

93

Issue

1

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1103/PhysRevA.93.013803

Socpus ID

84954554059 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84954554059

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