Generation of bright spatial quasi-solitons by arbitrary initial beam profiles in local and nonlocal (1+1)-Dimensional nonlinear media

Hesami, Majid; Avazpour, Mahrokh; Otero, M. M. Méndez; Arriaga, J.; Castillo, M. D. Iturbe; Cerda, S. Chávez

doi:10.1016/j.ijleo.2019.163504

Cited by 3 publications

(3 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hesami et al, researched the evolution of two profiles, in a positive Kerr medium and the effect of initial beam-width [35]. Authors indicated numerically that it is possible to generate bright spatial quasi-solitons, in media that are defined via the (1+1)-Dimensional local and nonlocal Nonlinear Schrödinger Equation, via initial condition field distributions that are aside from the analytical solution [36]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic curves and Rytov’s law in the optical fiber with Maxwellian evolution via alternative moving frame

Nurkan,

Ceyhan,

Özdemir

et al. 2023

Rev. Mex. Fís.

View full text Add to dashboard Cite

In this study, we research the behavior of a linearly-polarized light wave in optical fiber and the rotation of the polarization plane through the alternative moving frame { N,C,W } in Minkowski 3-space. Then Berry’s phase equations are discussed for electromagnetic curves in the { C } and { W } directions along an optic fiber via alternative moving frame in Minkowski 3-space. Moreover, electromagnetic curve’s { C } and { W } Rytov parallel transportation laws are defined. Finally, we examine the electromagnetic curve’s Maxwellian evolution by Maxwell’s equation.

show abstract

Section: Introductionmentioning

confidence: 99%

Electromagnetic curves and Rytov’s law in the optical fiber with Maxwellian evolution via alternative moving frame

Nurkan,

Ceyhan,

Özdemir

et al. 2023

Rev. Mex. Fís.

View full text Add to dashboard Cite

show abstract

“…Of particular interest are spatially localized optical structures [14][15][16][17], the diversity of which is manifested in photonics [18][19][20][21][22][23][24][25]. Results of numerical investigations of intense beam light propagation in Kerr nonlinear (positive and negative) media (local and nonlocal) could be found in [26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Surface waves propagating along the interface between a parabolic graded-index medium and a self-focusing nonlinear medium: exact analytical solution

Савотченко

2022

J. Opt.

View full text Add to dashboard Cite

The waveguide properties of interface between a parabolic graded-index medium and a self-focusing nonlinear medium are described theoretically. The exact analytical solution to the wave equation with dielectric permittivity dependent on the distance from interface and on the electric field intensity is found. The obtained solution describes the new type of nonlinear surface wave. It is shown that the electric field is localized completely inside the parabolic graded-index layer. The dispersion equation determining explicit dependence of the effective refractive index on the thickness of the parabolic graded-index layer and the change in dielectric constant in it is found in a particular case corresponding to the exotic surface wave propagation. The influence of the optical parameters on the distribution profile of the electric field across is analyzed. The decrease in the field in surface waves with distance from the interface is non-exponential.

show abstract

“…More recently, some works have been done to build soliton in a nonlinear coupler in a presence of a raman effect and solitary waves in asymmetric tin-core fibers [6,7]. Today, analytical investigation of solitary waves become a big challenge, that is while some relevant methods have been used to construct exact solutions for partial differential equations (PDEs), such as unified method [8,9], initial condition field distributions [10], the simplest equation approach [11], the split-Step method [12], the first integral method [13], new extended direct algebraic scheme [14,15] and the generalized tanh method [16], just to name a few.…”

Section: Introductionmentioning

confidence: 99%

Solitary wave solutions in two-Core optical fibers with coupling-coefficient dispersion and Kerr nonlinearity

et al. 2021

View full text Add to dashboard Cite

In this paper, we studies chirped solitary waves in two-Core optical fibers with coupling-coefficient dispersion and intermodal dispersion. To construct chirp soliton, the couple of nonlinear Schrödinger equation which describing the pulses propagation along the two-core fiber have been reduced to one equivalent equation. By adopting the traveling-waves hypothesis, the exact analytical solutions of the GNSE were obtained by using three relevant mathematical methods namely the auxiliary equation method, the modified auxiliary equation method and the Sine-Gordon expansion approach. Lastly, the behavior of the chirped like-soliton solutions were discussed and some contours of the plot evolution of the bright and dark solitons are obtained.

show abstract

Generation of bright spatial quasi-solitons by arbitrary initial beam profiles in local and nonlocal (1+1)-Dimensional nonlinear media

Cited by 3 publications

References 23 publications

Electromagnetic curves and Rytov’s law in the optical fiber with Maxwellian evolution via alternative moving frame

Electromagnetic curves and Rytov’s law in the optical fiber with Maxwellian evolution via alternative moving frame

Surface waves propagating along the interface between a parabolic graded-index medium and a self-focusing nonlinear medium: exact analytical solution

Solitary wave solutions in two-Core optical fibers with coupling-coefficient dispersion and Kerr nonlinearity

Contact Info

Product

Resources

About