Spatial solitons in a medium composed of self-focusing and self-defocusing layers

Atai, Javid; Malomed, Boris A.

doi:10.1016/s0375-9601(02)00473-5

Cited by 47 publications

(19 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, this same model based on Eqs. (1) and (2) can be interpreted to another physical system in the spatial domain [31,32], if the variable τ in the Eqs. (1, 2) is replaced by the transverse coordinate x.…”

Section: Theorymentioning

confidence: 99%

Numerical investigation of dark soliton switching in asymmetric nonlinear fiber couplers

2015

View full text Add to dashboard Cite

coupler. Due to evanescent coupling, the light pulses launched in the input of the bar channel transfer completely into the cross channel. But when the intensities of light pulses are high, the NLDC is detuned such that there is a change in their refractive index because of the nonlinear effect. At a particular critical power, light pulses would emerge from each waveguide and above the critical power, most of the energies of the light pulses would remain in the bar channel. In NLDCs, thus, the optical switching takes place between the two channels by the change in the intensities of the input light pulses.Switching dynamics of optical (bright) solitons by considering the effects of constant coupling dispersion [8,9], which causes splitting in pulses, higher-order parameters [10-12] and gain and loss [13], etc., have been extensively investigated in NLDCs by researchers after the innovative theoretical work carried out by Jensen [14]. But, in all these works, the NLDC is assumed to be symmetric in all aspects. However, in practice, symmetric fiber couplers are rarely existent. This factor may raise attention on fabricating asymmetric fiber couplers as they are easier to fabricate than the symmetric nonlinear fiber couplers. As explained in Ref. [15], the asymmetry in nonlinear directional couplers can be introduced in many ways. First, in a simple way, the asymmetric fiber couplers can be manufactured by creating a difference in the diameter of the cores. This difference in the diameter of the cores tends to produce not only the phase-velocity mismatch but also a change in the nonlinear coefficients. Second, the asymmetric nature can be obtained by distorting the shape of the cores while maintaining their cross-sectional areas equal. In such birefringent couplers, one can have the asymmetry in the form of phase-velocity mismatch without getting a change in the nonlinear coefficients. Third, to attain the asymmetry, we can use fibers having different dispersion Abstract Switching characteristics of dark soliton in asymmetric nonlinear directional couplers are numerically studied. Every individual effect, responsible for producing asymmetry in nonlinear directional coupler, has been analyzed in detail. It is found that group-velocity mismatch and the difference in group-velocity dispersions between the two cores have no impact on dark soliton, which can be specified as an advancement over the bright solitons. The effects of phase velocity, the difference in effective mode areas and the linear coupling coefficient on the dark soliton switching are also investigated.

show abstract

Section: Theorymentioning

confidence: 99%

Numerical investigation of dark soliton switching in asymmetric nonlinear fiber couplers

2015

View full text Add to dashboard Cite

show abstract

“…Many experiments showed that the LiNbO 3 : Fe crystals are self-defocusing dielectric materials, for the photo-induced refractive index change, ∆n, is negative, ∆n <0, which tends to form dark spatial solitons. In recent years, researchers had succeeded in observing the dark spatial solitons in LiNbO 3 : Fe crystals [14,15].…”

Section: Vmentioning

confidence: 99%

Light‐induced self‐defocusing property in tetragonal tungsten bronze crystals

Gao¹,

Xia

et al. 2007

Cryst. Res. Technol.

View full text Add to dashboard Cite

In open-circuit boundary conditions, tetragonal tungsten bronze (CSBN75) crystals are settled on one of arms of Michelson's interferometer in such a way that even minor perturbation of the penetrated beam can be enlarged and observed through the Michelson's interferometer rings. The experimental results shows that CSBN75 (∆n<0) are self-defocusing photorefractive crystals. In this paper, qualitative and quantitative discussion on the light-induced change in the index of refraction is given. The self-defocusing character in CSBN75 suggests that it is possible to observe the dark spatial solitons with this crystal in further investigation.

show abstract

“…Another model, which combines the NLM with the effective dispersion (actually, diffraction, as the model was realized in the spatial domain) induced by the Bragg grating, was investigated too [21]. It is composed of alternating BGs with opposite signs of the Kerr nonlinearity, and also gives rise to a family of robust solitons.…”

Section: Wimentioning

confidence: 99%

“…(4.8), (4.9), (4.11), and (4.13) were also studied in work [21]. In particular, two identical solitons with an initial phase difference Acj) attract each other if A^ = 0 (see Fig.…”

Section: Interactions Between Sohtons and Generation Of Moving Solitonsmentioning

confidence: 99%

Soliton Management in Periodic Systems

Malomed¹

2006

View full text Add to dashboard Cite

Spatial solitons in a medium composed of self-focusing and self-defocusing layers

Cited by 47 publications

References 23 publications

Numerical investigation of dark soliton switching in asymmetric nonlinear fiber couplers

Numerical investigation of dark soliton switching in asymmetric nonlinear fiber couplers

Light‐induced self‐defocusing property in tetragonal tungsten bronze crystals

Soliton Management in Periodic Systems

Contact Info

Product

Resources

About