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Dispersion-managed solitons are reviewed within a Gaussian variational approximation and an integral evolution model. In the normal regime of the dispersion map (when the averaged path dispersion is negative), there are two solitons of…

Pattern Formation and Solitons · Physics 2009-10-31 Dmitry Pelinovsky

We construct families of optical semi-discrete composite solitons (SDCSs), with one or two independent propagation constants, supported by a planar slab waveguide, XPM-coupled to a periodic array of stripes. Both structures feature the…

Optics · Physics 2009-11-13 N. -C. Panoiu , B. A. Malomed , R. M. Osgood

We consider the process of light scattering by optical solitons in a planar waveguide with homogeneous and inhomogeneous refractive index core. We observe resonant reflection (Fano resonances) as well as resonant transmission of light by…

Pattern Formation and Solitons · Physics 2007-05-23 S. Flach , V. Fleurov , A. V. Gorbach , A. E. Miroshnichenko

Dissipative solitons rely on the double balance between nonlinearity and dispersion as well as gain and loss have attracted a lot of attention in optics, since it gives rise to ultrashort pulses and broadband frequency combs with good…

Optics · Physics 2020-09-18 Tengfei Hao , Hao Ding , Wei Li , Ninghua Zhu , Yitang Dai , Ming Li

We present a new method of gap control in two-dimensional periodic systems with the perturbation consisting of a second-order differential operator and a family of narrow potential `walls' separating the period cells in on direction. We…

Spectral Theory · Mathematics 2019-12-10 D. I. Borisov , P. Exner

The structure of an optical waveguide determines the characteristics of its guided modes, such as their spatial profile and group index. General features are shared by modes regardless of the waveguiding structure; for example, modal…

Optics · Physics 2021-11-05 Abbas Shiri , Ayman F. Abouraddy

We address the existence and properties of solitons in thermal media with periodic modulation of linear refractive index. Many kinds of solitons in such optical lattices, including symmetric and antisymmetric lattices, are found under…

Optics · Physics 2011-12-30 Xuekai Ma , Zhenjun Yang , Daquan Lu , Wei Hu

The dispersion-managed (DM) optical system with step-wise periodical variation of dispersion is studied in the framework of path-averaged Gabitov-Turitsyn equation. The soliton solution is obtained by iterating the path-averaged equation.…

Pattern Formation and Solitons · Physics 2016-09-07 P. M. Lushnikov

Driven optical cavities containing a nonlinear medium support stable dissipative solitons, cavity solitons, in the form of bright or dark spots of light on a uniformly-lit background. Broadening effects due to diffraction or group velocity…

Optics · Physics 2025-09-09 Gian-Luca Oppo , William J. Firth

We consider vortex solitons in large-scale arrays composed of N elliptical waveguides placed on a ring, which can be fabricated using fs-laser writing technique in transparent nonlinear dielectrics. By introducing variable twist angles…

Optics · Physics 2023-09-15 Yaroslav V. Kartashov

We show that gap-acoustic solitons, i.e., optical gap solitons with electrostrictive coupling to sound modes, can be produced with velocities down to less than 2.5% of the speed of light using a fiber Bragg grating that is linearly coupled…

Pattern Formation and Solitons · Physics 2015-05-20 R. Shnaiderman , Richard S. Tasgal , Y. B. Band

We analyze the existence, stability, and internal modes of gap solitons in nonlinear periodic systems described by the nonlinear Schrodinger equation with a sinusoidal potential, such as photonic crystals, waveguide arrays,…

Pattern Formation and Solitons · Physics 2007-05-23 Dmitry E. Pelinovsky , Andrey A. Sukhorukov , Yuri S. Kivshar

We numerically study Stokes beam generation in an array of discrete waveguides. The feasibility of generation and steering of spatial solitons due to nonlinear Raman response is demonstrated for the first time

Pattern Formation and Solitons · Physics 2007-05-23 Clark A. Merchant , Igor V. Mel'nikov , J. Stewart Aitchison

We describe topological edge solitons in a continuous dislocated Lieb array of helical waveguides. The linear Floquet spectrum of this structure is characterized by the presence of two topological gaps with edge states residing in them. A…

We analyze optical soliton propagation in the presence of weak absorption lines with much narrower linewidths as compared to the soliton spectrum width using the novel perturbation analysis technique based on an integral representation in…

Optics · Physics 2010-03-25 V. L. Kalashnikov , E. Sorokin

Spatially selective melting of metal materials by laser irradiation allows for the precise welding as well as the 3D printing of complex metal parts. However, the simple scanning of a conventional Gaussian beam typically results in a melt…

The light transmission through a dispersive plasmonic circular hole is numerically investigated with an emphasis on its subwavelength guidance. For a better understanding of the effect of the hole diameter on the guided dispersion…

Optics · Physics 2009-02-20 Ki Young Kim , Young Ki Cho , Heung-Sik Tae , Jeong-Hae Lee

In previous work we showed that bright atomic solitons can arise in spinor Bose-Einstein condensates in the form of gap solitons even for repulsive many-body interactions. Here we further explore the properties of atomic gap solitons and…

Condensed Matter · Physics 2016-09-21 S. Potting , O. Zobay , P. Meystre , E. M. Wright

We study the propagation of light in a resonator optical waveguide consisting of evanescently coupled optomechanical crystal array. In the strong driving limit, the Hamiltonian of system can be linearized and diagonalized. In this case we…

Quantum Physics · Physics 2013-11-26 Zhenglu Duan , Bixuan Fan

Phase frustration in periodic lattices is responsible for the formation of dispersionless flat bands. The absence of any kinetic energy scale makes flat band physics critically sensitive to perturbations and interactions. We report here on…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 V. Goblot , B. Rauer , F. Vicentini , A. Le Boité , E. Galopin , A. Lemaître , L. Le Gratiet , A. Harouri , I. Sagnes , S. Ravets , C. Ciuti , A. Amo , J. Bloch