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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 16 — Aug. 6, 2007
  • pp: 10041–10051

Surface solitons in waveguide arrays: Analytical solutions

Y. Kominis, A. Papadopoulos, and K. Hizanidis  »View Author Affiliations

Optics Express, Vol. 15, Issue 16, pp. 10041-10051 (2007)

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A novel phase-space method is employed for the construction of analytical stationary solitary waves located at the interface between a periodic nonlinear lattice of the Kronig-Penney type and a linear or nonlinear homogeneous medium as well as at the interface between two dissimilar nonlinear lattices. The method provides physical insight and understanding of the shape of the solitary wave profile and results to generic classes of localized solutions having either zero or nonzero semi-infinite backgrounds. For all cases, the method provides conditions involving the values of the propagation constant of the stationary solutions, the linear refractive index and the dimensions of each part in order to assure existence of solutions with specific profile characteristics. The evolution of the analytical solutions under propagation is investigated for cases of realistic configurations and interesting features are presented such as their remarkable robustness which could facilitate their experimental observation.

© 2007 Optical Society of America

OCIS Codes
(190.4350) Nonlinear optics : Nonlinear optics at surfaces
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(240.6690) Optics at surfaces : Surface waves

ToC Category:
Optics at Surfaces

Original Manuscript: May 29, 2007
Revised Manuscript: July 5, 2007
Manuscript Accepted: July 9, 2007
Published: July 25, 2007

Yannis Kominis, Aristeidis Papadopoulos, and Kyriakos Hizanidis, "Surface solitons in waveguide arrays: Analytical solutions," Opt. Express 15, 10041-10051 (2007)

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