Optical soliton perturbation with full nonlinearity in non-Kerr law media

Topkara, Engin; Milović, Daniela; Sarma, Amarendra K.; Zerrad, Essaid; Biswas, Anjan

doi:10.1007/s10297-010-9007-3

Cited by 9 publications

(2 citation statements)

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“…Since this study focuses on the influence of the effect of the second, third and fourth order dispersion on the interactions of the higher order solitons [9][10][11][12], it is possible to review their influence on the propagation of the fundamental solitons and their propagation before introducing it on the higher order solitons. The Third Order Dispersion (TOD) has two significant applications in transmission chains: In the literature, [13][14][15][16] it is mentioned that the shift of a soliton under the effect of the dispersion of the third order is accompanied by a creation of a wave nicknamed «the dispersive wave» [17][18][19][20]. This occurs a temporal shift more than the main soliton under the effect of the TOD, and the energy transfer from the soliton to the dispersive wave is also proportional to the TOD.…”

Section: Introductionmentioning

confidence: 99%

Higher order dispersions effect on high-order soliton interactions

Khelil

Dekhane

Benselhoub

et al. 2023

TAPR

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The object of the research is deleting the interaction of the higher order soliton interaction by introducing the third and fourth order dispersions inside an optical fiber. The results are obtained by the simulation of the nonlinear Schrödinger equation, which models the propagation of solitons in the optical fiber using the method of Fast Fourier Transform. The interaction of two higher order solitons due to the attraction of their electric field can lead to losing the solitons' properties. Hence, this can prevent the use of solitons in high-bit-rate optical fiber communication systems because it increases the bit error rate, significantly limiting the potential of the communication system. To resolve this problem, we should diminish the bit rate error by avoiding the interaction of the co-propagative solitons when they are too close. It is well known that, during higher order soliton propagation in the presence of the third order dispersion, the irregular shape of the higher order soliton disappears, and a splitting towards its fundamental constituents occurs after a considerable propagation. As for the fourth order, dispersion gives rise to two dispersive wave sidebands on the red or blue side. Our results reveal that bringing two higher order solitons together in the presence of the fourth order dispersion, a series of interactions between the components generated after their fission is obtained. In the third-order distribution, besides the fourth-order diffusion, the rare form and the supercontinuum generated by the fission of the higher-order solitons disappear, and we get two fundamental solitons propagating in parallel with a temporal shift and some inconsiderable dispersive waves. The most important aspect is that both higher-order dispersions are able to suppress the interactions of higher-order solitons thanks to the time shift induced by the third-order distribution and the intermittent compression caused by the fourth-order scattering. These results can be obtained in practice inside the dispersion-engineered photonic crystal waveguide (PhC-wg), which allows for manipulating the high order dispersion.

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Section: Introductionmentioning

confidence: 99%

Higher order dispersions effect on high-order soliton interactions

Khelil

Dekhane

Benselhoub

et al. 2023

TAPR

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“…In fiber optics, optical spatial solitons have potential applications to optical pulse compression, optical switching, and other related phenomena [6][7][8][9][10][11][12][13][14][15]. Also spatial solitons are the main feature in the study of dynamics of self-focusing (self-trapped) plasmon beams, because of the balance between diffraction and nonlinearity [16][17][18][19][20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Waves in deep water based on the nonlinear Schrödinger equation with variable coefficients

Abdel‐Gawad

2014

Can. J. Phys.

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It has been shown that progression of waves in deep water is described by the nonlinear Schrödinger equation with time-dependent diffraction and nonlinearity coefficients. Investigation of the solutions is done here in the two cases when the coefficients are proportional or otherwise. In the first case, it is shown that the water waves are traveling at time-dependent speed and are periodic waves, which are coupled to solitons or elliptic waves seen in the noninertial frames. In the inertial frames wave modulation instability is visualized. In the second case, and when the diffraction coefficient dominates the nonlinearity, water waves collapse with unbounded amplitude at finite time. Exact solutions are found here by using the extended unified method together, while presenting a new algorithm for treating nonlinear coupled partial differential equations.

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