Two-dimensional self-trapped nonlinear photonic lattices

Desyatnikov, Anton S.; Sagemerten, Nina; Fischer, Robert; Terhalle, Bernd; Träger, Denis; Neshev, Dragomir N.; Dreischuh, A.; Denz, Cornélia; Królikowski, Wiesław; Kivshar, Yuri S.

doi:10.1364/oe.14.002851

Cited by 54 publications

(32 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2(e)]. This is in good agreement with previously performed numerical simulations [9,11]. The Fourier space analysis of the induced refractive index change confirms this difference between linear and nonlinear lattices.…”

Section: Experimental Arrangementssupporting

confidence: 90%

“…3(e)]. This orientational dependent structure of the nonlinear induced refractive index change fits well to our numerical simulations, too [9,11].…”

Section: Experimental Arrangementssupporting

confidence: 86%

“…To analyze the structure of the induced refractive index change, two different methods can be used. The first method is given by observing the waveguiding properties of the lattice [9,10,11]. As the incident light pattern induces a periodic array of waveguides in the medium, illuminating the lattice with a broad plane wave leads to guiding of this wave and the output intensity pattern of the guided wave qualitatively maps the induced refractive index change.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Structure analysis of two-dimensional nonlinear self-trapped photonic lattices in anisotropic photorefractive media

et al. 2006

Self Cite

View full text Add to dashboard Cite

We generate experimentally different types of two-dimensional self-trapped photonic lattices in a photorefractive medium and analyze the induced refractive index change using two different methods. One method gives the first experimental Fourier space analysis of both linear and nonlinear self-trapped photonic lattices with periodic phase modulation using partially spatially incoherent multi-band excitation of the lattice modes. The other method utilizes the waveguiding properties of the lattice to achieve a real space analysis of the induced refractive index change. The results of both methods are compared.

show abstract

Section: Experimental Arrangementssupporting

confidence: 90%

“…3(e)]. This orientational dependent structure of the nonlinear induced refractive index change fits well to our numerical simulations, too [9,11].…”

Section: Experimental Arrangementssupporting

confidence: 86%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Structure analysis of two-dimensional nonlinear self-trapped photonic lattices in anisotropic photorefractive media

et al. 2006

Self Cite

View full text Add to dashboard Cite

show abstract

“…2(b) and 2(h). Such a wave field has been occasionally implemented as a lattice beam to optically induce photonic square or diamond lattices [21,22]. Comparing the m = 0 with the m = 2 pattern, again a translation of the structure occurs.…”

Section: B Four Interfering Plane Wavesmentioning

confidence: 99%

Increasing the structural variety of discrete nondiffracting wave fields

2011

Self Cite

View full text Add to dashboard Cite

We investigate discrete nondiffracting beams (DNBs) being the foundation of periodic and quasiperiodic intensity distributions. Besides the number of interfering plane waves, the phase relation among these waves is decisive to form a particular intensity lattice. In this manner, we systematize different classes of DNBs and present similarities as well as differences. As one prominent instance, we introduce the class of sixfold nondiffracting beams, offering four entirely different transverse intensity distributions: in detail, the hexagonal, kagome, and honeycomb pattern, as well as a hexagonal vortex beam. We further extend our considerations to quasiperiodic structures and show the changeover to Bessel beams. In addition, we introduce a highly flexible implementation of the experimental analog of DNBs, namely discrete pseudo-nondiffracting beams, and present locally resolved intensity and phase measurements, which underline the nondiffracting character of the generated wave fields.

show abstract

“…For attractive interaction, multivortex structures are known to be unstable, and they have been observed only as infinite periodic waves [14]. As a result, spatially localized multivortex states remain unobserved and largely unexplored.…”

mentioning

confidence: 99%

Observation of Multivortex Solitons in Photonic Lattices

et al. 2008

Self Cite

View full text Add to dashboard Cite

We report on the first observation of topologically stable spatially localized multivortex solitons generated in optically induced hexagonal photonic lattices. We demonstrate that topological stabilization of such nonlinear localized states can be achieved through self-trapping of truncated two-dimensional Bloch waves and confirm our experimental results by numerical simulations of the beam propagation in weakly deformed lattice potentials in anisotropic photorefractive media.

show abstract

Two-dimensional self-trapped nonlinear photonic lattices

Cited by 54 publications

References 32 publications

Structure analysis of two-dimensional nonlinear self-trapped photonic lattices in anisotropic photorefractive media

Structure analysis of two-dimensional nonlinear self-trapped photonic lattices in anisotropic photorefractive media

Increasing the structural variety of discrete nondiffracting wave fields

Observation of Multivortex Solitons in Photonic Lattices

Contact Info

Product

Resources

About