Soliton dynamics and interactions in dynamically photoinduced lattices

Tsopelas, Ilias; Kominis, Yannis; Hizanidis, Kyriakos

doi:10.1103/physreve.74.036613

Cited by 10 publications

(11 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Garanovich, Sukhorukov, and Kivshar [2007] discussed phenomenon of nonlinear light diffusion in periodically curved arrays of optical waveguides. Soliton steering by a single continuous wave that dynamically induces a photonic lattice, as well as interactions of several solitons in the presence of such waves were addressed by Kominis, Hizanidis [2004] and Tsopelas, Kominis, Hizanidis [2006].…”

Section: Soliton Steering In Dynamical Latticesmentioning

confidence: 99%

Soliton Shape and Mobility Control in Optical Lattices

2009

View full text Add to dashboard Cite

We present a progress overview focused on the recent theoretical and experimental advances in the area of soliton manipulation in optical lattices. Optical lattices offer the possibility to engineer and to control the diffraction of light beams in media with periodicallymodulated optical properties, to manage the corresponding reflection and transmission bands, and to form specially designed defects. Consequently, they afford the existence of a rich variety of new families of nonlinear stationary waves and solitons, lead to new rich dynamical phenomena, and offer novel conceptual opportunities for all-optical shaping, switching and routing of optical signals encoded in soliton formats. In this overview, we consider reconfigurable optically-induced lattices as well as waveguide arrays made in suitable nonlinear materials. We address both, one-dimensional and multi-dimensional geometries.We specially target the new possibilities made possible by optical lattices induced by a variety of existing non-diffracting light patterns, we address nonlinear lattices and soliton arrays, and we briefly explore the unique features exhibited by light propagation in defect modes and in random lattices, an area of current topical interest and of potential crossdisciplinary impact.

show abstract

Section: Soliton Steering In Dynamical Latticesmentioning

confidence: 99%

Soliton Shape and Mobility Control in Optical Lattices

2009

View full text Add to dashboard Cite

show abstract

“…In order to specifically distinguish the effects due to diffraction management, we consider the light propagation in the waveguide arrays with symmetric bending profiles, i.e. x 0 (z − z a ) = x 0 (z a − z) for a given coordinate shift z a , since asymmetry may introduce other effects due to the modification of refraction [15][16][17][18][19]. Then, after the full bending period (z → z + L) the beam diffraction remains the same as in a straight waveguide array with the effective coupling coefficient [5,6]…”

Section: Discrete Diffraction and Self-collimationmentioning

confidence: 99%

Nonlinear diffusion and beam self-trapping in diffraction-managed waveguide arrays

Garanovich¹,

Sukhorukov²,

Kivshar³

2007

Opt. Express

View full text Add to dashboard Cite

We study nonlinear propagation of light in diffraction-managed photonic lattices created by periodically-curved arrays of optical waveguides. We identify different regimes of the nonlinear propagation of light in such structures depending on the input power. We start from the regime of self-collimation at low powers and demonstrate that, as the beam power increases, nonlinearity destroys the beam self-imaging and leads to nonlinear diffusion. At higher powers, we observe a sharp transition to the self-trapping and the formation of discrete diffraction-managed solitons.

show abstract

“…This equation, presented in the matrix form, is nothing but the Bogoliubov-de Gennes (BdG) equation [26,[61][62][63][64] i∂…”

Section: B Interplay Of Solitons and Radiationmentioning

confidence: 99%

Interplay of solitons and radiation in one-dimensional Bose gases

2019

View full text Add to dashboard Cite

We study relaxation dynamics in one-dimensional Bose gases, formulated as an initial value problem for the classical nonlinear Schrödinger equation. We propose an analytic technique which takes into account the exact spectrum of nonlinear modes, that is both soliton excitations and dispersive continuum of radiation modes. Our method relies on the exact large-time asymptotics and uses the so-called dressing transformation to account for the solitons. The obtained results are quantitatively compared with the predictions of the linearized approach in the framework of the Bogoliubov theory. In the attractive regime, the interplay between solitons and radiation yields a damped oscillatory motion of the profile which resembles breathing. For the repulsive interaction, the solitons are confined in the sound cone region separated from the supersonic radiation. arXiv:1810.11409v4 [cond-mat.quant-gas]

show abstract

Soliton dynamics and interactions in dynamically photoinduced lattices

Cited by 10 publications

References 20 publications

Soliton Shape and Mobility Control in Optical Lattices

Soliton Shape and Mobility Control in Optical Lattices

Nonlinear diffusion and beam self-trapping in diffraction-managed waveguide arrays

Interplay of solitons and radiation in one-dimensional Bose gases

Contact Info

Product

Resources

About