Tailoring spatial soliton characteristics and its dynamical behaviors in nonlinear reflection gratings

Alatas, Husin; Iskandar, Alexander A.; Tjia, May On

doi:10.1364/josab.27.000238

Cited by 3 publications

(9 citation statements)

References 19 publications

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“…Inserting the above TE mode field expression into Maxwell's wave equations yields the generalized coupledmode equations for the forward and backward envelopes which can be written in the following dimensionless form [8][9][10][11]:…”

Section: Generalized Coupled-mode Modelmentioning

confidence: 99%

“…[11] we assume U f = AF (ξ )e iKζ and U b = BF (ξ )e iKζ , where F is a real function while the real parameters A, B, and K are constant. Substituting these forms into Eq.…”

Section: Generalized Coupled-mode Modelmentioning

confidence: 99%

“…Meanwhile, for a nonhomogeneous planar waveguide with embedded nonlinear optical grating generally consisting of unit cells with two or more alternating layers of different Kerr materials in each unit, the existence of these bright and dark solitons has been reported in Refs. [8][9][10][11]. In those studies the corresponding NLS-type couple-mode equations considered takes into account the effect of nonlinear modulation.…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of Jacobi's elliptic spatial waves in a nonlinear optical grating

Alatas

2011

Phys. Rev. A

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This paper presents the results of our study on the dynamics of Jacobi's elliptic spatial waves in a nonlinear optical grating based on a generalized coupled-mode model. We discuss the characteristics of their amplitudes, widths, and spatial periods as well as their bifurcation in the associated phase plane. Our study on the dynamical propagation of perturbed profiles reveal that these waves can suffer breathing and broadening due to the diffraction effect. A remarkable split-off phenomenon of a spatial wave with wide stripes into several narrow and shallow oblique stripes is observed, as well as their passing and bouncing collisions.

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Section: Generalized Coupled-mode Modelmentioning

confidence: 99%

“…[11] we assume U f = AF (ξ )e iKζ and U b = BF (ξ )e iKζ , where F is a real function while the real parameters A, B, and K are constant. Substituting these forms into Eq.…”

Section: Generalized Coupled-mode Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamics of Jacobi's elliptic spatial waves in a nonlinear optical grating

Alatas

2011

Phys. Rev. A

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“…In recent theoretical study, based on the coupled mode theory approach [2][3][4][5], it was found that these fundamental solitons also exist in nonlinear reflection grating with nonlinear modulation consisting of two or more different nonlinear dielectric materials arranged periodically. We have investigated its characteristics in the corresponding parameter space and found that both profiles can co-exist either in the self-focusing or selfdefocusing cases [5].…”

Section: Introductionmentioning

confidence: 99%

“…We have investigated its characteristics in the corresponding parameter space and found that both profiles can co-exist either in the self-focusing or selfdefocusing cases [5].…”

Section: Introductionmentioning

confidence: 99%

Cnoidal, Dnoidal and Snoidal Spatial Waves in a Nonlinear Reflection Grating

Alatas

Saputra²

2010

AIP Conference Proceedings

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Modified Asano-Ohya-Khrennikov quantum-like model for decision-making process in a two-player game with nonlinear self- and cross-interaction terms of brain’s amygdala and prefrontal-cortex

2020

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In this report, we propose a modification on the Asano-Ohya-Khrennikov quantum-like decision-making process model of a two-player game by adding additional nonlinear terms to the related comparison step dynamical equation. The additions are in the form of a self-interaction and cross-interaction of the brain’s amygdala and prefrontal cortex. We show that the cross-interaction significantly determines the final decision of a player, whether it becomes a rational or an irrational choice. In contrast, the nonlinear self-interaction term provides a feedback mechanism that speeds up the corresponding decision-making process. We also suggest the form of expectation values of the overall reaction rate coefficients of those nonlinear terms by making an analogy with the original model formulation.

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Tailoring spatial soliton characteristics and its dynamical behaviors in nonlinear reflection gratings

Cited by 3 publications

References 19 publications

Dynamics of Jacobi's elliptic spatial waves in a nonlinear optical grating

Dynamics of Jacobi's elliptic spatial waves in a nonlinear optical grating

Cnoidal, Dnoidal and Snoidal Spatial Waves in a Nonlinear Reflection Grating

Modified Asano-Ohya-Khrennikov quantum-like model for decision-making process in a two-player game with nonlinear self- and cross-interaction terms of brain’s amygdala and prefrontal-cortex

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