Interlaced linear-nonlinear optical waveguide arrays

Abstract

The system of coupled discrete equations describing a two-component superlattice with interlaced linear and nonlinear constituents is revisited 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.

References in corpus (10)

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• Nonlinear excitations in arrays of Bose-Einstein condensates
• Nonlinear localized waves in a periodic medium
• Discrete gap solitons in modulated waveguide arrays
• Discreteness-Induced Oscillatory Instabilities of Dark Solitons
• Spatial optical solitons in nonlinear photonic crystals
• Observation of discrete gap solitons in binary waveguide arrays
• Controlled switching of discrete solitons in waveguide arrays
• All-optical switching and amplification of discrete vector solitons in nonlinear cubic birefringent waveguide arrays
• Bound states in a nonlinear Kronig-Penney model

Cited by in corpus (14)

• Solitons in nonlinear lattices
• Asymmetric Wave Propagation Through Nonlinear PT-symmetric Oligomers
• Vector solitons in nonlinear lattices
• Stabilization of multi-beam necklace solitons in circular arrays with spatially modulated nonlinearity
• Light bullets in Bessel optical lattices with spatially modulated nonlinearity
• Stable two-dimensional solitons supported by radially inhomogeneous self-focusing nonlinearity
• An introduction to arrays of coupled waveguides
• Solitons supported by singular spatial modulation of the Kerr nonlinearity
• Quasi-one-dimensional Bose-Einstein condensates in nonlinear lattices
• Discrete gap solitons in binary positive-negative index nonlinear waveguide arrays with strong second-order couplings
• Dark solitons near potential and nonlinearity steps
• Eigenstates and instabilities of chains with embedded defects
• Self trapping transition for a nonlinear impurity within a linear chain
• Collision dynamics of discrete soliton in uniform waveguide arrays