Observation of One- And Two-Dimensional Discrete Surface Spatial Solitons

Suntsov, Sergiy; Makris, Konstantinos G.; Siviloglou, Georgios A.; Iwanow, Robert; Schiek, Roland; Christodoulides, Demetrios N.; Stegeman, George I.; Morandotti, Roberto; Yang, Haeyeon; Salamo, Gregory J.; Volatier, M.; Aimez, Vincent; Arès, Richard; Sorel, Marc; Min, Yoo-Hong; Wang, Xiaosheng; Bezryadina, Anna; Chen, Zhigang

doi:10.1142/s0218863507003834

Cited by 34 publications

(19 citation statements)

References 41 publications

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“…4. Similar experimental observations of staggered surface waves were reported in [25], for discrete quadratic arrays, and in [26], for waveguide arrays in copper-doped lithium niobate substrate (see also a review of the experimental results in [27]). …”

Section: Experimental Verificationssupporting

confidence: 76%

Nonlinear Tamm states and surface effects in periodic photonic structures

Kivshar

2008

Laser Phys. Lett.

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Abstract:We present a brief overview of the basic concepts and important experimental observations of the effect of light localization near the surfaces of truncated periodic photonic structures. In particular, we discuss the formation of nonlinear localized modes and discrete surface solitons near the edges of nonlinear optical waveguide arrays and two-dimensional photonic lattices. We draw an analogy between the nonlinear surface optical modes and the surface Tamm states known in the electronic theory. We discuss the crossover between discrete solitons in the array and surface solitons at the edge of the array by analyzing the families of even and odd nonlinear localized modes located at finite distances from the edge of a waveguide array. We discuss various generalization of this concept including surface solitons in chirped lattices, multi-gap vector surface solitons, polychromatic surface states generated by a supercontinuum source, surface modes in two-dimensional photonic lattices, and spatiotemporal surface solitons. Finally, we discuss briefly several other related concepts including the enhanced beaming of light from subwavelength waveguides in photonic crystals. Finite-difference time-domain simulations of the field intensity from the beaming modeling with (a) illustrating the full angle diffused output from the sub-wavelength waveguide exit when the surface structure is simply terminated in a row of cylinders equal in radius to those of the bulk photonic crystal, and (b) illustrating the highly collimated beam emitted from the waveguide having been strongly fashioned by radiative surface states

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Section: Experimental Verificationssupporting

confidence: 76%

Nonlinear Tamm states and surface effects in periodic photonic structures

Kivshar

2008

Laser Phys. Lett.

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“…In recent years, there has been an increased interest in the study of nonlinear discrete surface waves in periodic structures [1,2]. Discrete surface solitons were first proposed and experimentally demonstrated at the edge of one-dimensional (1(d) photonic lattices [3][4][5][6][7], and subsequently they were also suggested and observed in 2D optical settings [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Self-trapping of optical vortices at the surface of an induced semi-infinite photonic lattice

Song¹,

Lou²,

Law³

et al. 2010

Opt. Express

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Abstract:We demonstrate self-trapping of singly-charged vortices at the surface of an optically induced two-dimensional photonic lattice. Under appropriate conditions of self-focusing nonlinearity, a singly-charged vortex beam can self-trap into a stable semi-infinite gap surface vortex soliton through a four-site excitation. However, a single-site excitation leads to a quasi-localized state in the first photonic gap, and our theoretical analysis illustrates that such a bandgap surface vortex soliton is always unstable. Our experimental results of stable and unstable topological surface solitons are corroborated by direct numerical simulations and linear stability analysis.

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“…form an important family of discrete solitons that exist at interface between the semi-infinite photonic lattices and a homogenous media [32]. Now, let us use the SCV beam to excite at the surface of the photonic lattice rather than inside the lattice under the self-focusing nonlinearity.…”

Section: Discrete Surface Vortex Solitons Discrete Surface Solitonsmentioning

confidence: 99%

Experiments on Linear and Nonlinear Localization of Optical Vortices in Optically Induced Photonic Lattices

Song

Lou

Tang

et al. 2012

International Journal of Optics

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We provide a brief overview on our recent experimental work on linear and nonlinear localization of singly charged vortices (SCVs) and doubly charged vortices (DCVs) in two-dimensional optically induced photonic lattices. In the nonlinear case, vortex propagation at the lattice surface as well as inside the uniform square-shaped photonic lattices is considered. It is shown that, apart from the fundamental (semi-infinite gap) discrete vortex solitons demonstrated earlier, the SCVs can self-trap into stable gap vortex solitons under the normal four-site excitation with a self-defocusing nonlinearity, while the DCVs can be stable only under an eight-site excitation inside the photonic lattices. Moreover, the SCVs can also turn into stable surface vortex solitons under the four-site excitation at the surface of a semi-infinite photonics lattice with a self-focusing nonlinearity. In the linear case, bandgap guidance of both SCVs and DCVs in photonic lattices with a tunable negative defect is investigated. It is found that the SCVs can be guided at the negative defect as linear vortex defect modes, while the DCVs tend to turn into quadrupole-like defect modes provided that the defect strength is not too strong.

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Observation of One- And Two-Dimensional Discrete Surface Spatial Solitons

Cited by 34 publications

References 41 publications

Nonlinear Tamm states and surface effects in periodic photonic structures

Nonlinear Tamm states and surface effects in periodic photonic structures

Self-trapping of optical vortices at the surface of an induced semi-infinite photonic lattice

Experiments on Linear and Nonlinear Localization of Optical Vortices in Optically Induced Photonic Lattices

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