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Title: Dark localized structures in a cavity filled with a left-handed material

Abstract

We consider a nonlinear passive optical cavity filled with left-handed and right-handed materials and driven by a coherent injected beam. We assume that both left-handed and right-handed materials possess a Kerr focusing type of nonlinearity. We show that close to the zero-diffraction regime, high-order diffraction allows us to stabilize dark localized structures in this device. These structures consist of dips in the transverse profile of the intracavity field and do not exist without high-order diffraction. We analyze the snaking bifurcation diagram associated with these structures. Finally, a realistic estimation of the model parameters is provided.

Authors:
 [1];  [2];  [3]
  1. Optique non lineaire theorique, Universite Libre de Bruxelles, CP 231, Campus Plaine, B-1050 Bruxelles (Belgium)
  2. OPERA-photonique, Universite Libre de Bruxelles, CP 194/5, 50, Av. F. D. Roosevelt, B-1050 Bruxelles (Belgium)
  3. Applied Physics Research Group (APHY), Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussel (Belgium)
Publication Date:
OSTI Identifier:
22058766
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 1; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BIFURCATION; DIFFRACTION; LAPLACIAN; MATERIALS; NONLINEAR PROBLEMS; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Tlidi, Mustapha, Kockaert, Pascal, and Gelens, Lendert. Dark localized structures in a cavity filled with a left-handed material. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.013807.
Tlidi, Mustapha, Kockaert, Pascal, & Gelens, Lendert. Dark localized structures in a cavity filled with a left-handed material. United States. doi:10.1103/PHYSREVA.84.013807.
Tlidi, Mustapha, Kockaert, Pascal, and Gelens, Lendert. Fri . "Dark localized structures in a cavity filled with a left-handed material". United States. doi:10.1103/PHYSREVA.84.013807.
@article{osti_22058766,
title = {Dark localized structures in a cavity filled with a left-handed material},
author = {Tlidi, Mustapha and Kockaert, Pascal and Gelens, Lendert},
abstractNote = {We consider a nonlinear passive optical cavity filled with left-handed and right-handed materials and driven by a coherent injected beam. We assume that both left-handed and right-handed materials possess a Kerr focusing type of nonlinearity. We show that close to the zero-diffraction regime, high-order diffraction allows us to stabilize dark localized structures in this device. These structures consist of dips in the transverse profile of the intracavity field and do not exist without high-order diffraction. We analyze the snaking bifurcation diagram associated with these structures. Finally, a realistic estimation of the model parameters is provided.},
doi = {10.1103/PHYSREVA.84.013807},
journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 84,
place = {United States},
year = {2011},
month = {7}
}