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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 5 — Mar. 7, 2005
  • pp: 1544–1554

Nonlinear lattice model for spatially guided solitons in nonlinear photonic crystals

Guy Van der Sande, Björn Maes, Peter Bienstman, Jan Danckaert, Roel Baets, and Irina Veretennicoff  »View Author Affiliations


Optics Express, Vol. 13, Issue 5, pp. 1544-1554 (2005)
http://dx.doi.org/10.1364/OPEX.13.001544


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Abstract

Numerical simulations have shown the existence of transversely localized guided modes in nonlinear two-dimensional photonic crystals. These soliton-like Bloch waves induce their own waveguide in a photonic crystal without the presence of a linear defect. By applying a Green’s function method which is limited to within a strip perpendicular to the propagation direction, we are able to describe these Bloch modes by a nonlinear lattice model that includes the long-range site-to-site interaction between the scattered fields and the non-local nonlinear response of the photonic crystal. The advantages of this semi-analytical approach are discussed and a comparison with a rigorous numerical analysis is given in different configurations. Both monoatomic and diatomic nonlinear photonic crystals are considered.

© 2005 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(190.3270) Nonlinear optics : Kerr effect
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(230.7370) Optical devices : Waveguides
(260.5950) Physical optics : Self-focusing

ToC Category:
Research Papers

History
Original Manuscript: January 24, 2005
Revised Manuscript: February 22, 2005
Published: March 7, 2005

Citation
Guy Van der Sande, Björn Maes, Peter Bienstman, Jan Danckaert, Roel Baets, and Irina Veretennicoff, "Nonlinear lattice model for spatially guided solitons in nonlinear photonic crystals," Opt. Express 13, 1544-1554 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-5-1544


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