In this paper, the timing jitter in dispersion-managed soliton-like systems with the Caussian pulse is studied by using two methods. Firstly, the derivation of the dynamic equations for the evolution of soliton-like p...In this paper, the timing jitter in dispersion-managed soliton-like systems with the Caussian 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.展开更多
The generalized nonlinear SchrSdinger equation （NLSE）, which governs the dynamics of dispersion-managed （DM） solitons, is considered. A novel transformation is constructed such that the DM fibre system equation wi...The generalized nonlinear SchrSdinger equation （NLSE）, which governs the dynamics of dispersion-managed （DM） solitons, is considered. A novel transformation is constructed such that the DM fibre system equation with optical loss （gain） is transformed to the standard NLSE under a restricted condition. Abundant new soliton and periodic wave solutions are obtained by using the transformation and the solutions of standard NLSE. Further, we discuss their main properties and the interaction scenario between two neighbouring solitons by using direct computer simulation.展开更多
We systemically investigate the interchannel four-wave mixing (FWM) in dispersion-managed WDM systems with arbitrary launch position. We optimize the number of fiber sections, and the dispersion ratio for the system p...We systemically investigate the interchannel four-wave mixing (FWM) in dispersion-managed WDM systems with arbitrary launch position. We optimize the number of fiber sections, and the dispersion ratio for the system performance.展开更多
We show a useful analytical method to design grating compensated dispersion-managed systems. Our method is in good agreement with the numerical results even in the presence of group delay ripples in the chirped fiber ...We show a useful analytical method to design grating compensated dispersion-managed systems. Our method is in good agreement with the numerical results even in the presence of group delay ripples in the chirped fiber gratings.展开更多
We show that bi-soliton which is a periodically stationary pulse consisting of two peaks can propagate in a dispersion-managed line under the influence of third-order dispersion. Numerical averaging method is used to ...We show that bi-soliton which is a periodically stationary pulse consisting of two peaks can propagate in a dispersion-managed line under the influence of third-order dispersion. Numerical averaging method is used to extract bi-soliton from a couple of Gaussian pulses and its stability is studied by a free propagation for a long distance.展开更多
We use a generalized scaling invariance of the dispersion-managed nonlinear Schrodinger equation to derive an approximate function for strongly dispersionmanaged solitons.We then analyze the regime in which the approx...We use a generalized scaling invariance of the dispersion-managed nonlinear Schrodinger equation to derive an approximate function for strongly dispersionmanaged solitons.We then analyze the regime in which the approximation is valid.Finally,we present a method for extracting the underlying soliton part from a noisy pulse,using the resulting approximate formula.展开更多
Laser frequency microcombs provide a series of equidistant,coherent frequency markers across a broad spectrum,enabling advancements in laser spectroscopy,dense optical communications,precision distance metrology,and a...Laser frequency microcombs provide a series of equidistant,coherent frequency markers across a broad spectrum,enabling advancements in laser spectroscopy,dense optical communications,precision distance metrology,and astronomy.Here,we design and fabricate silicon nitride,dispersion-managed microresonators that effectively suppress avoided-mode crossings and achieve close-to-zero averaged dispersion.Both the stochastic noise and mode-locking dynamics of the resonator are numerically and experimentally investigated.First,we experimentally demonstrate thermally stabilized microcomb formation in the microresonator across different mode-locked states,showing negligible center frequency shifts and a broad frequency bandwidth.Next,we characterize the femtosecond timing jitter of the microcombs,supported by precise metrology of the timing phase and relative intensity noise.For the single-soliton state,we report a relative intensity noise of−153.2 dB∕Hz,close to the shot-noise limit,and a quantum-noise–limited timing jitter power spectral density of 0.4 as 2∕Hz at a 100 kHz offset frequency,measured using a self-heterodyne linear interferometer.In addition,we achieve an integrated timing jitter of 1.7 fs±0.07 fs,measured from 10 kHz to 1 MHz.Measuring and understanding these fundamental noise parameters in high clock rate frequency microcombs is critical for advancing soliton physics and enabling new applications in precision metrology.展开更多
文摘In this paper, the timing jitter in dispersion-managed soliton-like systems with the Caussian 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.
基金supported by the National Natural Science Foundation of China (Grant Nos 10575087 and 10875106)the Natural Science Foundation of Zhejiang Province,China (Grant No Y605056)
文摘The generalized nonlinear SchrSdinger equation （NLSE）, which governs the dynamics of dispersion-managed （DM） solitons, is considered. A novel transformation is constructed such that the DM fibre system equation with optical loss （gain） is transformed to the standard NLSE under a restricted condition. Abundant new soliton and periodic wave solutions are obtained by using the transformation and the solutions of standard NLSE. Further, we discuss their main properties and the interaction scenario between two neighbouring solitons by using direct computer simulation.
文摘We systemically investigate the interchannel four-wave mixing (FWM) in dispersion-managed WDM systems with arbitrary launch position. We optimize the number of fiber sections, and the dispersion ratio for the system performance.
文摘We show a useful analytical method to design grating compensated dispersion-managed systems. Our method is in good agreement with the numerical results even in the presence of group delay ripples in the chirped fiber gratings.
文摘We show that bi-soliton which is a periodically stationary pulse consisting of two peaks can propagate in a dispersion-managed line under the influence of third-order dispersion. Numerical averaging method is used to extract bi-soliton from a couple of Gaussian pulses and its stability is studied by a free propagation for a long distance.
文摘We use a generalized scaling invariance of the dispersion-managed nonlinear Schrodinger equation to derive an approximate function for strongly dispersionmanaged solitons.We then analyze the regime in which the approximation is valid.Finally,we present a method for extracting the underlying soliton part from a noisy pulse,using the resulting approximate formula.
基金support from the Lawrence Livermore National Laboratory(Grant No.B622827)the National Science Foundation(Grant Nos.1824568,1810506,1741707,and 1829071)the Office of Naval Research(Grant No.N00014-16-1-2094).
文摘Laser frequency microcombs provide a series of equidistant,coherent frequency markers across a broad spectrum,enabling advancements in laser spectroscopy,dense optical communications,precision distance metrology,and astronomy.Here,we design and fabricate silicon nitride,dispersion-managed microresonators that effectively suppress avoided-mode crossings and achieve close-to-zero averaged dispersion.Both the stochastic noise and mode-locking dynamics of the resonator are numerically and experimentally investigated.First,we experimentally demonstrate thermally stabilized microcomb formation in the microresonator across different mode-locked states,showing negligible center frequency shifts and a broad frequency bandwidth.Next,we characterize the femtosecond timing jitter of the microcombs,supported by precise metrology of the timing phase and relative intensity noise.For the single-soliton state,we report a relative intensity noise of−153.2 dB∕Hz,close to the shot-noise limit,and a quantum-noise–limited timing jitter power spectral density of 0.4 as 2∕Hz at a 100 kHz offset frequency,measured using a self-heterodyne linear interferometer.In addition,we achieve an integrated timing jitter of 1.7 fs±0.07 fs,measured from 10 kHz to 1 MHz.Measuring and understanding these fundamental noise parameters in high clock rate frequency microcombs is critical for advancing soliton physics and enabling new applications in precision metrology.
