Bright optical spatial solitons in photorefractive waveguides having both the linear and quadratic electro-optic effect

Katti, Aavishkar; Yadav, R.A.; Prasad, Awadhesh

doi:10.1016/j.wavemoti.2017.10.002

Cited by 20 publications

(6 citation statements)

References 31 publications

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“…An interesting mechanism which supports the self trapping process in photorefractives is the creation of a channel waveguide. The self defocusing of an optical beam induced by diffraction can be countered by the waveguiding effect and hence the waveguide supports the formation of solitons [12,19,45]. This results in lowering of the threshold power required to self trap a light beam as compared to the threshold power required in bulk photorefractive media.…”

Section: Introductionmentioning

confidence: 94%

“…The optical beam is polarized along the x-direction while we shall consider the diffraction to be along x-axis only. The electric field of the incident optical beam satisfies the following modified Helmholtz equation [12,19,45],…”

Section: Theoretical Foundationmentioning

confidence: 99%

“…This results in lowering of the threshold power required to self trap a light beam as compared to the threshold power required in bulk photorefractive media. Photorefractive waveguides have attracted much interest recently with investigations of formation and propagation characteristics of solitons in waveguides embedded in different types of photorefractive crystals [12,19,45]. To the best of our knowledge, no one has investigated the self trapping in a photovoltaic photorefractive waveguide having two-photon photorefractive effect as yet and that will be our objective in this paper.…”

Section: Introductionmentioning

confidence: 99%

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Bright optical spatial solitons in a photovoltaic photorefractive waveguide exhibiting the two photon photorefractive effect

Katti

2023

Rev. Mex. Fís.

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We investigate for the first time, photorefractive solitons in a two photon photorefractive waveguide which also exhibits the bulk photovoltaic effect. The dynamical evolution equation of such solitons has been obtained under the paraxial ray approximation along with the Wentzel-Kramers-Brilluoin Jefferys (WKBJ) approximation. The existence curve for the solitons is derived and four distinct regions of power have been identified in the absence of waveguiding depending upon the threshold power for self trapping. Bistable states have been observed to be present. We have studied the effect of the planar waveguide and found that it enhances the self trapping nonlinearity and hence results in a reduction of the threshold power required for formation of the soliton. The propagation of the light beam is studied for various different strengths of the waveguide. A beam which would not have normally been self trapped can now become a soliton by virtue of the planar waveguide structure. Finally, we investigate the linear stability of these solitons by both, the Lyapunov method and numerical simulations.

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Section: Introductionmentioning

confidence: 94%

Section: Theoretical Foundationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Bright optical spatial solitons in a photovoltaic photorefractive waveguide exhibiting the two photon photorefractive effect

Katti

2023

Rev. Mex. Fís.

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“…In recent years, A large number of scholars have been devoted to constructing exact solutions of the NLSEs in different ways [17][18][19], and several effective techniques have been used to find and analyze solutions, such as: F-expansion method, modified F-expansion scheme, direct algebraic, modifiedjextended direct algebraic scheme, extended tanh method, exp-functionjmethod, auxiliary equation method, Jacobijelliptic functionjmethod, rational expansionjmethod, simple equationjmethod, modified simple equation method and even more. Some scholars also focus on the character and stability of solutions [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Multi-Peak and Bright-Dark Solitary Wave Solutions of Higher-Order Dispersive Nonlinear Schrödinger Equations and their Applications

Arshad

et al. 2022

Preprint

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In mathematical physics, the Schrödinger equations have very important applications in Quantum mechanics, transmission lines, and optical fibers. The higher-order nonlinear Schrödinger equations (NLSEs) having higher-order dispersion, nonlinearity and cubic-quintic terms illustrates the propagation in optical fibers of enormously short pulses. In this paper, we construct the wave solutions of the higher-order NLSE with cubic-quintic dispersion and generalized second-order spatiotemporal dispersive NLSE by using the modified exponential rational function method (MERFM). As results, narrative solitons solutions in different forms are obtained, such as bright-dark solitons, trigonometric function, hyperbolic function, rational function, exponential function, singular solutions etc. The constructed results are compared with existing solutions in the literature which confirm that some have not been found in previous studies and their structures play an important role to explain a lot of physical phenomenon. Moreover, the structures of the newly obtained solutions are described by given appropriate parameters, and some interesting and novel graphs are obtained, which are helpful to explain the complicated physical phenomena of these nonlinear models. As consequence show the predominant and effectiveness of MERFM, which is also suitable for solving similar mathematical and physical models in other fields.

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“…Since its appearance in 1992 [29], many features of the spatial soliton have been discovered through investigation. Quasi-steady state soliton [30,31], steady state soliton [32][33][34][35], and a wide variety of other solitons [36][37][38][39][40] exist and have led to a number of very important applications [41,42]. However, due to the drawback of a very slow nonlinear response time [43], it was essential to study their time evolution or temporal behavior in media.…”

Section: Introductionmentioning

confidence: 99%

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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Bright optical spatial solitons in photorefractive waveguides having both the linear and quadratic electro-optic effect

Cited by 20 publications

References 31 publications

Bright optical spatial solitons in a photovoltaic photorefractive waveguide exhibiting the two photon photorefractive effect

Bright optical spatial solitons in a photovoltaic photorefractive waveguide exhibiting the two photon photorefractive effect

Multi-Peak and Bright-Dark Solitary Wave Solutions of Higher-Order Dispersive Nonlinear Schrödinger Equations and their Applications

Traveling wave solutions for explicit-time nonlinear photorefractive dynamics equation

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