IV Nonlinear Wave Propagation in Planar Structures

Mihalache, Dumitru; Bertolotti, M.; Sibilia, C.

doi:10.1016/s0079-6638(08)70087-8

Cited by 134 publications

(76 citation statements)

References 117 publications

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“…However, two examples of one dimensional version of such bifurcation are reported in the theory of nonlinear optical surface waves [36][37][38]. The first example provides an example of bifurcation of the asymmetric TE mode from the symmetric one in a symmetric layered structure, which is composed of a linear dielectric film bounded on both sides (the cladding and substrate media) by the same nonlinear Kerr medium [36,37]. The second example is provided by a nonlinear Kerr dielectric slab sandwiched between two same metals, where the asymmetric TM surface plasmonic mode bifurcates from the symmetric one [38].…”

Section: Single-charged Elliptic Vorticesmentioning

confidence: 99%

Elliptic vortices in composite Mathieu lattices

Mihalache

2009

Phys. Rev. A

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Section: Single-charged Elliptic Vorticesmentioning

confidence: 99%

Elliptic vortices in composite Mathieu lattices

Mihalache

2009

Phys. Rev. A

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“…Because of the difficulties in observing this type of surface waves in natural materials such as crystals, successful efforts were made to demonstrate their existence in nano-engineered periodic structures or superlattices [2]. An optical analog of linear Tamm states has been described theoretically and demonstrated experimentally for an interface separating periodic and homogeneous dielectric media [3,4].Nonlinear surface waves have been studied in different fields of physics and most extensively in optics where surface TE and TM modes were predicted and analyzed for the interfaces between two different homogeneous nonlinear dielectric media [5,6,7]. In addition, nonlinear effects have been shown to stabilize surface waves in discrete systems, generating different types of modes localized at and near the surface [8].…”

mentioning

confidence: 99%

“…Nonlinear surface waves have been studied in different fields of physics and most extensively in optics where surface TE and TM modes were predicted and analyzed for the interfaces between two different homogeneous nonlinear dielectric media [5,6,7]. In addition, nonlinear effects have been shown to stabilize surface waves in discrete systems, generating different types of modes localized at and near the surface [8].…”

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confidence: 99%

Observation of Surface Gap Solitons in Semi-Infinite Waveguide Arrays

et al. 2006

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We report on the first observation of surface gap solitons, recently predicted to exist at the interface between uniform and periodic dielectric media with defocusing nonlinearity [Ya. V. Kartashov et al., Phys. Rev. Lett. 96, 073901 (2006)]. We demonstrate strong self-trapping at the edge of a LiNbO3 waveguide array and the formation of staggered surface solitons with propagation constant inside the first photonic band gap. We study the crossover between linear repulsion and nonlinear attraction at the surface, revealing the mechanism of nonlinearity-mediated stabilization of the surface gap modes.PACS numbers: 42.65. Tg, 42.65.Sf5, 42.65.Wi Interfaces between different physical media can support a special class of localized waves known as surface waves or surface modes. In periodic systems, staggered surface modes are often referred to as Tamm states [1], first identified as localized electronic states at the edge of a truncated periodic potential. Because of the difficulties in observing this type of surface waves in natural materials such as crystals, successful efforts were made to demonstrate their existence in nano-engineered periodic structures or superlattices [2]. An optical analog of linear Tamm states has been described theoretically and demonstrated experimentally for an interface separating periodic and homogeneous dielectric media [3,4].Nonlinear surface waves have been studied in different fields of physics and most extensively in optics where surface TE and TM modes were predicted and analyzed for the interfaces between two different homogeneous nonlinear dielectric media [5,6,7]. In addition, nonlinear effects have been shown to stabilize surface waves in discrete systems, generating different types of modes localized at and near the surface [8]. Self-trapping of light near the boundary of a self-focusing photonic lattice has recently been predicted theoretically [9] and demonstrated in experiment [10] through the formation of discrete surface solitons at the edge of a waveguide array.Recently, Kartashov et al. [11] predicted theoretically the existence of surface gap solitons at the interface between a uniform medium and a photonic lattice with defocusing nonlinearity. In such systems, light localization occurs inside a photonic bandgap in the form of staggered surface modes. This enables us to draw an analogy with the localized electronic Tamm states and extend it to the nonlinear regime, so that the surface gap solitons can be termed as nonlinear Tamm states. They posses a unique combination of properties related to both electronic and optical surface waves and discrete optical gap solitons. The ability to generate such surface gap solitons could provide novel and effective experimental tools for the study of nonlinear effects near surfaces with possible applications in optical sensing and switching.In this Letter we study experimentally self-action of a narrow beam propagating near the edge of a LiNbO 3 waveguide array with defocusing nonlinearity. For the first time to our knowledge, ...

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“…The condition for existence of a dark soliton at the nanoscale would be that the input beam would be [1,3] C(0, y) = C 0 exp(iθ) + C 01 (y) (with C 01 → 0 as |y| → ∞) (24) and…”

Section: Self Defocusing With Metallic Dielectric Interfacementioning

confidence: 99%

Derivation of the Effective Nonlinear Schrödinger Equations for Dark and Power Law Spatial Plasmon-Polariton Solitons Using Nano Self-Focusing

Crutcher¹,

Osei²

2011

PIER B

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Abstract-An effective Nonlinear Schrödinger Equation for propagation is derived for optical dark and power law spatial solitons at the subwavelength with a surface plasmonic interaction. Starting with Maxwell's Nonlinear Equations a model is proposed for TM polarized type spatial solitons on a metal dielectric interface. Two separate systems are considered in which one metal dielectric interface has a dielectric Kerr medium that has self-defocusing and another similar interface which the dielectric Kerr medium that has self-focusing depending on the modulus of the electric field to some power law variable p. The beam dynamics are analytically studied for these nanowaveguides.

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IV Nonlinear Wave Propagation in Planar Structures

Cited by 134 publications

References 117 publications

Elliptic vortices in composite Mathieu lattices

Elliptic vortices in composite Mathieu lattices

Observation of Surface Gap Solitons in Semi-Infinite Waveguide Arrays

Derivation of the Effective Nonlinear Schrödinger Equations for Dark and Power Law Spatial Plasmon-Polariton Solitons Using Nano Self-Focusing

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