Universality of the amplitude shift in fast two-pulse collisions in weakly perturbed linear physical systems

Nguyen, Quan M.; Huynh, Toan; Peleg, Avner

doi:10.1007/s12648-020-01976-0

Cited by 4 publications

(34 citation statements)

References 27 publications

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“…We also found that within the leading order of the perturbation theory, the shapes of the optical pulses are not changed by the collision. Furthermore, we showed that similar behavior holds in fast collisions between two concentration pulses in the presence of weak quadratic loss in systems described by weakly perturbed diffusion-advection equations [22,25]. The predictions of our perturbation theory were confirmed by numerical simulations with the perturbed linear propagation equation and the perturbed linear diffusion-advection equation with weak nonlinear loss.…”

Section: Introductionsupporting

confidence: 67%

“…The results of Refs. [22,25] are quite surprising. Indeed, the pulses in weakly perturbed linear optical waveguides are not shape preserving.…”

Section: Introductionmentioning

confidence: 99%

“…In Refs. [22,25], we studied the dynamics of fast two-pulse collisions in linear optical waveguides with weak cubic loss. We first developed a perturbation method for analyzing the effects of these collisions.…”

Section: Introductionmentioning

confidence: 99%

“…[28], we generalized the perturbation method of Refs. [22,25] to treat fast collisions between two time-independent optical beams in the presence of weak cubic loss in spatial dimension 2. In this case, the collisions are induced by beam-steering, and special techniques are needed to realize and control the steering [29][30][31].…”

Section: Introductionmentioning

confidence: 99%

“…The studies in Refs. [22,25,28] were limited to weak collisional effects, that is, the values of the collision-induced amplitude shift and the intensity reduction factor in the collision setups that were considered in these works were small. Although we were able to measure these values in numerical simulations, it is very difficult to measure such small values in experiments.…”

Section: Introductionmentioning

confidence: 99%

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Strong effects of fast collisions between pulsed optical beams in a linear medium with weak cubic loss

Peleg¹,

Huynh²

2022

Preprint

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We investigate fast collisions between pulsed optical beams in a linear medium with weak cubic loss that arises due to nondegenerate two-photon absorption. We introduce a perturbation method with two small parameters and use it to obtain general formulas for the collision-induced changes in the pulsed-beam's shape and amplitude. Moreover, we use the method to design and characterize collision setups that lead to strong localized and nonlocalized intensity reduction effects. The values of the collision-induced changes in the pulsed-beam's shape in both setups are larger by one to two orders of magnitude compared with the values obtained in previous studies of fast two-pulse collisions. Furthermore, we show that for nonlocalized setups, the graph of the collision-induced amplitude shift vs the difference between the first-order dispersion coefficients for the two pulsedbeams has two local minima. This finding represents the first observation of a deviation of the graph from the common funnel shape that was obtained in all previous studies of fast two-pulse collisions in the presence of weak nonlinear loss. The predictions of our perturbation theory are in good agreement with results of numerical simulations with the perturbed linear propagation model, despite the strong collision-induced effects. Our results can be useful for multisequence optical communication links and for reshaping of pulsed optical beams.

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Section: Introductionsupporting

confidence: 67%

“…The results of Refs. [22,25] are quite surprising. Indeed, the pulses in weakly perturbed linear optical waveguides are not shape preserving.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Strong effects of fast collisions between pulsed optical beams in a linear medium with weak cubic loss

Peleg¹,

Huynh²

2022

Preprint

Self Cite

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show abstract

Fast two-beam collisions in a linear optical medium with weak cubic loss in spatial dimension higher than 1

2022

Self Cite

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We investigate the dynamics of fast two-pulse collisions in linear diffusion-advection systems with weak quadratic loss in spatial dimension 2. We introduce a two-dimensional perturbation method, which generalizes the perturbation method used for studying two-pulse collisions in spatial dimension 1. We then use the generalized perturbation method to show that a fast collision in spatial dimension 2 leads to a change in the pulse shape in the direction transverse to the advection velocity vector. Moreover, we show that in the important case of a separable initial condition, the longitudinal part in the expression for the amplitude shift has a simple universal form, while the transverse part does not. Additionally, we show that anisotropy in the initial condition leads to a complex dependence of the amplitude shift on the orientation angle between the pulses. Our perturbation theory predictions are in very good agreement with results of extensive numerical simulations with the weakly perturbed diffusion-advection model. Thus, our study significantly enhances and generalizes the results of previous works on fast collisions in diffusion-advection systems, which were limited to spatial dimension 1.

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Fast two-pulse collisions in linear diffusion-advection systems with weak quadratic loss in spatial dimension 2

Peleg,

Huynh

2023

Indian J Phys

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Universality of the amplitude shift in fast two-pulse collisions in weakly perturbed linear physical systems

Cited by 4 publications

References 27 publications

Strong effects of fast collisions between pulsed optical beams in a linear medium with weak cubic loss

Strong effects of fast collisions between pulsed optical beams in a linear medium with weak cubic loss

Fast two-beam collisions in a linear optical medium with weak cubic loss in spatial dimension higher than 1

Fast two-pulse collisions in linear diffusion-advection systems with weak quadratic loss in spatial dimension 2

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