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Strong Raman-induced non-instantaneous soliton interactions in gas-filled photonic crystal fibers  [PDF]
Mohammed F. Saleh,Andrea Armaroli,Andrea Marini,Fabio Biancalana
Physics , 2015, DOI: 10.1364/OL.40.004058
Abstract: We have developed an analytical model based on the perturbation theory in order to study the optical propagation of two successive intense solitons in hollow-core photonic crystal fibers filled with Raman-active gases. Based on the time delay between the two solitons, we have found that the trailing soliton dynamics can experience unusual nonlinear phenomena such as spectral and temporal soliton oscillations and transport towards the leading soliton. The overall dynamics can lead to a spatiotemporal modulation of the refractive index with a uniform temporal period and a uniform or chirped spatial period.
A THEORETICAL STUDY OF RAMAN SOLITON-LIKE PULSES IN SINGLE-MODE FIBERS
单模光纤中喇曼类孤子脉冲理论研究

LI YING-XING,LI SHI-CHEN,HUANG CHAO,YU JIAN,
李迎新
,李世忱,黄超,于健

物理学报 , 1992,
Abstract: We present a unique theoretical model to describe the Raman soliton-like pulses in single-mode fibers and consider the existence of the group velocity dispersion (GVD), the stimulated Raman scattering (SRS), the self-phase modulation (SPM), the cross-phase modulation (XPM) and the fiber loss. The experiment made by Gouveianeto et al. is simulated and 84fs Raman soliton-like pulses are obtained in agreement with the experimental results. A distinct image of the evolution of Raman soliton-like pulses is abtained and some new ideas are put forward.
Small noise asymptotic of the timing jitter in soliton transmission  [PDF]
Arnaud Debussche,Eric Gautier
Mathematics , 2006, DOI: 10.1214/07-AAP449
Abstract: We consider the problem of the error in soliton transmission in long-haul optical fibers caused by the spontaneous emission of noise inherent to amplification. We study two types of noises driving the stochastic focusing cubic one dimensional nonlinear Schr\"{o}dinger equation which appears in physics in that context. We focus on the fluctuations of the mass and arrival time or timing jitter. We give the small noise asymptotic of the tails of these two quantities for the two types of noises. We are then able to prove several results from physics among which the Gordon--Haus effect which states that the fluctuation of the arrival time is a much more limiting factor than the fluctuation of the mass. The physical results had been obtained with arguments difficult to fully justify mathematically.
Timing Jitter in Dispersion-Managed Soliton Systems Controlled in Time and Frequency domain
在时域和频域控制下色散管理孤子系统的定时抖动

Abstract,
张帆
,叶培大

光子学报 , 2003,
Abstract: The effect of time and frequency control of dispersion-managed soliton systems by synchronous amplitude modulators and fix-frequency filters is evaluated using variational method. The analytical formulas are obtained and can be used to calculate timing jitter with different soliton control parameters. Thus one can optimize the design of synchronous amplitude modulator and fix-frequency filter. The results also show that fix-frequency filter can suppress timing jitter contributed by Raman effect.
Maximum-Likelihood Detection of Soliton with Timing Jitter  [PDF]
Keang-Po Ho
Physics , 2004, DOI: 10.1364/JOSAB.22.002164
Abstract: Using the maximum-likelihood detector (MLD) of a soliton with timing jitter and noise, other than walk-out of the bit interval, timing jitter does not degrade the performance of MLD. When the MLD is simulated with important sampling method, even with a timing jitter standard deviation the same as the full-width-half-maximum (FWHM) of the soliton, the signal-to-noise (SNR) penalty is just about 0.2 dB. The MLD performs better than conventional scheme to lengthen the decision window with additive noise proportional to the window wide.
Soliton-like pulse timing jitter in dispersion-managed systems
Li Qi-Liang,Li Qing-Shan,Lin Li-Bin,
李齐良
,李庆山,林理彬

中国物理 B , 2006,
Abstract: In this paper, the timing jitter in dispersion-managed soliton-like systems with the Gaussian pulse is studied by using two methods. Firstly, the derivation of the dynamic equations for the evolution of soliton-like parameters and the timing jitter expressions for the dispersion-managed soliton-like systems are carried out by the perturbed variational method. By analysing and simulating these timing jitter expressions, one can find that the timing jitter is induced by the amplified spontaneous emission noise and the frequency shift, etc. Nonlinear gain can suppress the timing jitter. The chirp sign and the filters action have also effects on the total timing jitter. Secondly, the timing jitter is calculated and analysed by using the moment method. The results of the two methods prove to be consistent with each other.
Non-Gaussian Statistics of the Soliton Timing Jitter due to Amplifier Noise  [PDF]
Keang-Po Ho
Physics , 2003, DOI: 10.1364/OL.28.002165
Abstract: Based on the first-order perturbation theory of soliton, the Gordon-Haus timing jitter induced by amplifier noise is found to be non-Gaussian distributed. Compared with Gaussian distribution given by the linearized perturbation theory, both frequency and timing jitter have larger tail probability. The timing jitter has a larger discrepancy to Gaussian distribution than that of frequency jitter.
Raman induced soliton self-frequency shift in microresonator Kerr frequency combs  [PDF]
Maxim Karpov,Hairun Guo,Arne Kordts,Victor Brasch,Martin Pfeiffer,Michail Zervas,Michael Geiselmann,Tobias J. Kippenberg
Physics , 2015,
Abstract: The formation of temporal dissipative solitons in continuous wave laser driven microresonators enables the generation of coherent, broadband and spectrally smooth optical frequency combs as well as femtosecond pulses with compact form factor. Here we report for the first time on the observation of a Raman-induced soliton self-frequency shift for a microresonator soliton. The Raman effect manifests itself in amorphous SiN microresonator based single soliton states by a spectrum that is hyperbolic secant in shape, but whose center is spectrally red-shifted (i.e. offset) from the continuous wave pump laser. The Raman induced spectral red-shift is found to be tunable via the pump laser detuning and grows linearly with peak power. The shift is theoretically described by the first order shock term of the material's Raman response, and we infer a Raman shock time of 20 fs for amorphous SiN. Moreover, we observe that the Raman induced frequency shift can lead to a cancellation or overcompensation of the soliton recoil caused by the formation of a (coherent) dispersive wave. The observations are in excellent agreement with numerical simulations based on the Lugiato-Lefever equation (LLE) with a Raman shock term. Our results contribute to the understanding of Kerr frequency combs in the soliton regime, enable to substantially improve the accuracy of modeling and are relevant to the fundamental timing jitter of microresonator solitons.
The Soliton Transmissions in Optical Fibers  [cached]
Leos Bohac
Advances in Electrical and Electronic Engineering , 2010,
Abstract: The objective of this paper is to familiarize readers with the basic analytical propagation model of short optical pulses in optical fiber. Based on this model simulation of propagation of the special type of pulse, called a soliton, will be carried out. A soliton transmission is especially attractive in the fiber optic telecommunication systems as it does not change a pulses shape during propagating right-down the fiber link to the receiver. The model of very short pulse propagation is based on the numerical solution of the nonlinear Schroedinger equation (NLSE), although in some specific cases it is possible to solve it analytically.
Soliton self-frequency blue-shift in gas-filled hollow-core photonic crystal fibers  [PDF]
Mohammed F. Saleh,Wonkeun Chang,Philipp Hoelzer,Alexander Nazarkin,John C. Travers,Nicolas Y. Joly,Philip St. J. Russell,Fabio Biancalana
Physics , 2011,
Abstract: We show theoretically that the photoionization process in a hollow-core photonic crystal fiber filled with a Raman-inactive noble gas leads to a constant acceleration of solitons in the time domain with a continuous shift to higher frequencies, limited only by ionization loss. This phenomenon is opposite to the well-known Raman self-frequency red-shift of solitons in solid-core glass fibers. We also predict the existence of unconventional long-range non-local soliton interactions leading to spectral and temporal soliton clustering. Furthermore, if the core is filled with a Raman-active molecular gas, spectral transformations between red-shifted, blue-shifted and stabilized solitons can take place in the same fiber.
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