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Title: Nonlinear localized modes in PT-symmetric optical media with competing gain and loss

The existence and stability of the nonlinear spatial localized modes are investigated in parity-time symmetric optical media characterized by a generic complex hyperbolic refractive index distribution with competing gain and loss profile. The exact analytical expression of the localized modes are found for all values of the competing parameter and in the presence of both the self-focusing and self-defocusing Kerr nonlinearity. The effects of competing gain/loss profile on the stability structure of these localized modes are discussed with the help of linear stability analysis followed by the direct numerical simulation of the governing equation. The spatial localized modes in two-dimensional geometry as well as the transverse power-flow density associated with these localized modes are also examined. -- Highlights: • Existence of localized modes is investigated in PT-symmetric complex potentials. • Exact analytical expression of the localized modes is obtained. • Effect of gain/loss profile on the stability of these localized modes is discussed. • Localized modes in 2D and associated transverse power-flow density are also examined.
Authors:
 [1] ;  [2]
  1. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700108 (India)
  2. Advanced Center for Nonlinear and Complex Phenomena, Kolkata 700075 (India)
Publication Date:
OSTI Identifier:
22233541
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 341; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BEAM DYNAMICS; COMPUTERIZED SIMULATION; GAIN; GEOMETRY; LOSSES; NONLINEAR PROBLEMS; PARITY; REFRACTIVE INDEX; SOLITONS; STABILITY; SYMMETRY; TWO-DIMENSIONAL CALCULATIONS