Characterization of Nonlinear Optical Crosstalk in Silicon Nanowaveguides

Okawachi, Yoshitomo; Kuzucu, Onur; Foster, Mark A.; Salem, Reza; Turner-Foster, Amy C.; Biberman, Aleksandr; Ophir, Noam; Bergman, Keren; Lipson, Michal; Gaeta, Alexander L.

doi:10.1109/lpt.2011.2177080

Cited by 16 publications

(27 citation statements)

References 24 publications

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“…Moreover, we find that the accuracies of both predictions of the perturbation theory for the radiative tails increase with increasing distance. More specifically, for |t| > 6, the deviations ||ψ It is helpful to compare the predictions of the perturbation theory with results of numerical simulations with the four simplified NLS models (45), (47), (49), and (51). Figure 7 shows the pulse profile |ψ 1 (t, z)| obtained by the improved perturbation approach and by numerical solution of Eqs.…”

Section: B Description and Discussion Of Simulations Resultsmentioning

confidence: 99%

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

Peleg

Chakraborty

2020

Physica D: Nonlinear Phenomena

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We study the dynamics of emission of radiation (small-amplitude waves) in fast collisions between two solitons of the nonlinear Schrödinger (NLS) equation in the presence of weak cubic loss. We calculate the radiation dynamics by a perturbation technique with two small parameters: the cubic loss coefficient 3 and the reciprocal of the group velocity difference 1/β. The agreement between the perturbation theory predictions and the results of numerical simulations with the full coupled-NLS propagation model is very good for large β values, and is good for intermediate β values. Additional numerical simulations with four simplified NLS models show that the differences between perturbation theory and simulations for intermediate β values are due to the effects of Kerr nonlinearity on interpulse interaction in the collision. Thus, our study demonstrates that the perturbation technique that was originally developed to study radiation dynamics in fast soliton collisions in the presence of conservative perturbations can also be employed for soliton collisions in the presence of dissipative perturbations.

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Section: B Description and Discussion Of Simulations Resultsmentioning

confidence: 99%

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

Peleg

Chakraborty

2020

Physica D: Nonlinear Phenomena

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“…2(a) is obtained by measuring the numerical values of the collision-induced amplitude shift for different values of η 0 (0) and then plotting η (2s) 0 vs η 0 (z − c ), where η 0 (z − c ) is calculated using Eq. (20). Figure 2(b) is obtained in a similar manner.…”

Section: Numerical Simulations Of a Single Collisionmentioning

confidence: 81%

“…Raman-induced cross talk is an important impairment in WDM transmission lines employing silica glass fibers [9][10][11][12][13][14][15][16][17], but is also beneficially used for amplification [18,19]. Cubic loss cross talk plays a major role in error generation in multichannel silicon nanowaveguide transmission [20], but can also be employed for stable energy equalization [8]. The two types of cross-talk mechanisms have several features in common.…”

Section: Introductionmentioning

confidence: 99%

Cross-talk dynamics of optical solitons in multichannel waveguide systems with a Ginzburg-Landau gain-loss profile

Peleg

Chung

2012

Phys. Rev. A

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We investigate energy exchange in fast optical soliton collisions in Kerr nonlinear waveguides with weak linear loss, cubic gain, and quintic loss, i.e., with a Ginzburg-Landau (GL) gain-loss profile. We find that the amplitude shift in a single two-soliton collision in the presence of quintic loss is quartic in the initial soliton amplitudes, and that three-soliton interaction gives a significant contribution to the amplitude shift in a three-soliton collision. Moreover, we show that collision-induced dynamics of soliton amplitudes in a two-channel waveguide system with a GL gain-loss profile is described by a Lotka-Volterra (LV) model with quadratic and quartic interaction terms. Using the LV model, we show that linearly stable transmission with equal prescribed amplitudes can be achieved by a proper choice of the time-slot width and the ratio between the cubic gain and quintic loss coefficients. The linear stability of the transmission is confirmed by the numerical solution of a perturbed system of coupled nonlinear Schrödinger equations. Further numerical simulations show that transmission in waveguides with a GL gain-loss profile is less susceptible to radiation emission effects compared with waveguides with linear gain and cubic loss.

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“…Otherwise the signal is sent directly to the switch. The crosstalk power from λ 21 in λ 11 depends on the actual power of λ 21 [21]. However, the actual relationship between crosstalk power from λ 21 and the input power of λ 21 depends on the switch architecture and can be found by experiment.…”

Section: 21analytical Model For Crosstalk In Optical Cross-connecmentioning

confidence: 99%

“…However, the actual relationship between crosstalk power from λ 21 and the input power of λ 21 depends on the switch architecture and can be found by experiment. In this paper, it is assumed that a linear relationship exists between crosstalk power from λ 21 and the actual power of λ 21 and equation (12) can be written as: 2  = B*Power(λ 21 )/Power(P s ) (13) where B is the crosstalk parameter of the demultiplexor indicating the fraction for input power that leaked to other channels as crosstalk, power(λ 21 ) is the power of channel λ 21 and power(Ps) is the power of the signal λ 11 . Figure 13 shows our proposed switch architecture to foil the jamming attack by increasing power to the channel.…”

Section: 21analytical Model For Crosstalk In Optical Cross-connecmentioning

confidence: 99%