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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 22 — Oct. 27, 2008
  • pp: 18296–18311

Interlaced linear-nonlinear optical waveguide arrays

Kyriakos Hizanidis, Yannis Kominis, and Nikolaos K. Efremidis  »View Author Affiliations

Optics Express, Vol. 16, Issue 22, pp. 18296-18311 (2008)

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The system of coupled discrete equations describing a two-component superlattice with interlaced linear and nonlinear constituents is studied as a basis for investigating binary waveguide arrays, such as ribbed AlGaAs structures, among others. Compared to the single nonlinear lattice, the interlaced system exhibits an extra band-gap controlled by the, suitably chosen by design, relative detuning. In more general physics settings, this system represents a discretization scheme for the single-equation-based continuous models in media with transversely modulated linear and nonlinear properties. Continuous wave solutions and the associated modulational instability are fully analytically investigated and numerically tested for focusing and defocusing nonlinearity. The propagation dynamics and the stability of periodic modes are also analytically investigated for the case of zero Bloch momentum. In the band-gaps a variety of stable discrete solitary modes, dipole or otherwise, in-phase or of staggered type are found and discussed.

© 2008 Optical Society of America

OCIS Codes
(190.4390) Nonlinear optics : Nonlinear optics, integrated optics
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.5940) Nonlinear optics : Self-action effects
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

Original Manuscript: August 21, 2008
Revised Manuscript: October 22, 2008
Manuscript Accepted: October 22, 2008
Published: October 23, 2008

Kyriakos Hizanidis, Yannis Kominis, and Nikolaos K. Efremidis, "Interlaced linear-nonlinear optical waveguide arrays," Opt. Express 16, 18296-18311 (2008)

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