Radiation dynamics in fast soliton collisions in the presence of cubic loss

Peleg, Avner; Chakraborty, Debananda

doi:10.1016/j.physd.2020.132397

Cited by 12 publications

(18 citation statements)

References 54 publications

(232 reference statements)

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“…The optical medium's cubic loss is typically due to 2PA [40][41][42][43]. Propagation of optical pulses and optical beams in the presence of cubic loss has been studied in many earlier works, both in weakly perturbed linear media [22,25,[44][45][46][47], and in nonlinear media [35,39,[48][49][50][51][52][53]. The subject gained further attention in recent years due to the importance of 2PA in silicon nanowaveguides, which are expected to play a key role in many applications in optoelectronic devices [40][41][42]54].…”

Section: Introductionmentioning

confidence: 99%

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

Peleg¹,

Huynh²

2022

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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: Introductionmentioning

confidence: 99%

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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“…Therefore, the collisions of two and many 1D solitons have been intensively investigated in several studies, for example, see Refs. [19][20][21][22][23][24][25] and references therein. More specifically, in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…MPA has been received considerable attention in recent years due to the importance of MPA in silicon nanowaveguides, which are expected to play a crucial role in optical processing applications in optoelectronic devices, including pulse switching and compression, wavelength conversion, regeneration, etc. [23][24][25][26][27][28][29]. It has been uncovered that the presence of weak nonlinear loss leads to an additional downshift of the soliton amplitude in a fast collision of two 1D solitons [23,24].…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the collision of two and many 1D solitons have been intensively investigated in several studies, for example, see Refs. [18][19][20][21][22][23][24] and references therein. More specifically, in [22,23], the authors studied the 1D soliton collision-induced amplitude dynamics in the presence of the cubic loss and the generic nonlinear loss.…”

Section: Introductionmentioning

confidence: 99%

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Collision-induced amplitude dynamics of fast 2D solitons in the presence of the generic nonlinear loss

Huynh

Quan

2021

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We study the amplitude dynamics of two-dimensional (2D) solitons in a fast collision described by the coupled nonlinear Schrödinger equations with a saturable nonlinearity and weak nonlinear loss. We extend the perturbative technique for calculating the collision-induced dynamics of two one-dimensional (1D) solitons to derive the theoretical expression for the collision-induced amplitude dynamics in a fast collision of two 2D solitons. Our perturbative approach is based on two major steps. The ﬁrst step is the standard adiabatic perturbation for the calculations on the energy balance of perturbed solitons and the second step, which is the crucial one, is for the analysis of the collision-induced change in the envelope of the perturbed 2D soliton. Furthermore, we also present the dependence of the collision-induced amplitude shift on the angle of the two 2D colliding-solitons. In addition, we show that the current perturbative technique can be simply applied to study the collision-induced amplitude shift in a fast collision of two perturbed 1D solitons. Our analytic calculations are conﬁrmed by numerical simulations with the corresponding coupled nonlinear Schrödinger equations in the presence of the cubic loss and in the presence of the quintic loss.

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“…The optical medium's cubic loss typically arises due to two-photon absorption (2PA) [7,[14][15][16]. Propagation of optical pulses and optical beams in the presence of cubic loss has been studied in many earlier works, both in weakly perturbed linear media [8,10,[17][18][19][20], and in nonlinear media [21][22][23][24][25][26][27][28][29][30][31][32]. The subject attracted renewed attention in recent years due to the importance of 2PA in silicon nanowaveguides, which are expected to play a major role in many applications in optoelectronic devices [7,14,15,33,34].…”

Section: Introductionmentioning

confidence: 99%

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

Peleg,

Huynh,

Nguyen

2021

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We study the dynamics of fast two-beam collisions in linear optical media with weak cubic loss in spatial dimension higher than 1. For this purpose, we extend the perturbation theory that was developed for analyzing two-pulse collisions in spatial dimension 1 to spatial dimension 2. We use the extended two-dimensional version of the perturbation theory to show that the collision leads to a change in the beam shapes in the direction transverse to the relative velocity vector.Furthermore, we show that in the important case of a separable initial condition for both beams, the longitudinal part in the expression for the amplitude shift is universal, while the transverse part is not universal. Additionally, we demonstrate that the same behavior holds for collisions between pulsed optical beams in spatial dimension 3. We check these predictions of the perturbation theory along with other predictions concerning the effects on the collision of partial beam overlap and anisotropy in the initial condition by extensive numerical simulations with the weakly perturbed linear propagation model in spatial dimensions 2 and 3. The agreement between the perturbation theory and the simulations is very good. Therefore, our study significantly extends and generalizes the results of previous works, which were limited to spatial dimension 1.

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Radiation dynamics in fast soliton collisions in the presence of cubic loss

Cited by 12 publications

References 54 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

Collision-induced amplitude dynamics of fast 2D solitons in the presence of the generic nonlinear loss

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

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