Temporal behaviour of bright solitons in photorefractive crystals having both the linear and quadratic electro-optic effect

Katti, Aavishkar

doi:10.1016/j.chaos.2019.05.018

Cited by 12 publications

(10 citation statements)

References 37 publications

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“…Following Katti, we consider the given explicit-time nonlinear photorefractive dynamics equation for the wave function q(s, ξ) to be in the form [51]…”

Section: Description Of the Solving Equation Techniquesmentioning

confidence: 99%

“…and the induced space-charge field in regions of constant illumination far away from the beam center E 0 = 1×10 5 V /m [32,51], so from the formulation given at the beginning of section 2, we can calculate the parameters values β 1 = 15.4613 and β 2 = 1.17234 for both variables. Next, by setting the unit time value for τ = 5 and varying the value of the displacement constant c, that is -0.01, 0, and 0.01, we present an illustration of the traveling wave solution to the equation in Fig.…”

Section: Analytical Solutionsmentioning

confidence: 99%

“…The work of Fressengeas et al [46] in 1996 prompted an intensive study of the temporal behavior of solitons in the photorefractive media, such as in [47][48][49][50]. Of recent interest is Katti's success in demonstrating the temporal behavior of solitons in photorefractive media that have both linear and quadratic electro-optic effects [51]. Apparently, this would be an exotic observation for the time evolution of photorefractive solitons when the electro-optic effect is extended.…”

Section: Introductionmentioning

confidence: 99%

“…It is because Pockel's and Kerr's effects simultaneously support nonlinear photorefractive. Observations were made from an explicit-time nonlinear dynamics evolution model [51], which was derived directly through the beam propagation method and the reduction of the Kukhtarev et al charge transport model [52] to time-dependent. Instead, theoretical observations were made just for the bright spatial solitons class [51].…”

Section: Introductionmentioning

confidence: 99%

“…Observations were made from an explicit-time nonlinear dynamics evolution model [51], which was derived directly through the beam propagation method and the reduction of the Kukhtarev et al charge transport model [52] to time-dependent. Instead, theoretical observations were made just for the bright spatial solitons class [51]. So, to complement its aesthetic features, we evaluate the model for the traveling wave solution.…”

Section: Introductionmentioning

confidence: 99%

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Traveling wave solutions for explicit-time nonlinear photorefractive dynamics equation

Abdullah

Ripai

Syafwan

et al. 2022

Preprint

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We have just solved the traveling wave solution for explicit-time nonlinear photorefractive dynamics equation. Nonlinearity comes from the support of linear and quadratic electro-optic effects. We investigated two cases, the wave was assumed to be in low amplitude and without such an assumption. In this step, we apply the direct solution method by setting the ansatz of the wave solution from the start. In the first case, the Taylor series expansion is relied on, the equations of these results can be integrated, and we get an exact solution for the traveling wave. In the second case, the original dynamic equation is fully evaluated. They are reduced to a first-order differential equation which we have provided the initial conditions for a numerical evaluation. The exact solution shows the propagation wave traveling in the positive and negative directions in the diffraction axis direction. There is also an angle between the traveling wave and the center of the propagation plane, which decreases as the value of the displacement constant in the solution increases. While the power of the traveling wave, it is also unique. Lastly, the numerical solution gives a kink-like traveling wave.

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“…Following Katti, we consider the given explicit-time nonlinear photorefractive dynamics equation for the wave function q(s, ξ) to be in the form [51]…”

Section: Description Of the Solving Equation Techniquesmentioning

confidence: 99%

Section: Analytical Solutionsmentioning

confidence: 99%