Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers

Biancalana, Fabio; Skryabin, Dmitry V.; Yulin, A. V.

doi:10.1103/physreve.70.016615

Cited by 154 publications

(104 citation statements)

References 44 publications

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“…In particular, trapping of the DW by a Raman soliton has been studied extensively [27][28][29]. The case of negative 3  has also been studied in the context of IPRS cancellation in PCFs having two ZD wavelengths [21,30]. For positive 3  , the DW moves slower than the Raman soliton and appears behind the Raman soliton during propagation.…”

Section: Input Pulse Launched At the Anomalous Gvd Regionmentioning

confidence: 99%

Dynamics of Raman soliton during supercontinuum generation near the zero-dispersion wavelength of optical fibers

Roy¹,

Bhadra²,

Saitoh³

et al. 2011

Opt. Express

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Abstract:We observe unique dynamics of Raman soliton during supercontinuum process when an input pulse experiences initially normal group-velocity dispersion with a negative dispersion slope. In this situation, the blue components of the spectrum form a Raman soliton that moves faster than the input pulse and eventually decelerates because of Ramaninduced frequency downshifting. In the time domain, the soliton trajectory bends and becomes vertical when the Raman shift ceases to occur as the spectrum of Raman soliton approaches the zero dispersion point. Parts of the red components of the pulse spectrum are captured by the Raman soliton through cross-phase modulation and they travel with it. The influence of soliton order, input chirp and dispersion slope on the dynamics of Raman soliton is discussed thoroughly.

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Section: Input Pulse Launched At the Anomalous Gvd Regionmentioning

confidence: 99%

Dynamics of Raman soliton during supercontinuum generation near the zero-dispersion wavelength of optical fibers

Roy¹,

Bhadra²,

Saitoh³

et al. 2011

Opt. Express

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show abstract

“…One of the major dynamical effects in the propagation of ultrashort pulses is the radiation emitted by solitons due to higher-order dispersion effects, also called resonant radiation (RR) [8][9][10][11]. This radiation, which appears when pumping near the zero-dispersion point of the structure, is very visible in experiments performed with optical fibers and it also plays a central role in the dynamics of CSs [6,[12][13][14].…”

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confidence: 95%

Nonlinear Cavity and Frequency Comb Radiations Induced by Negative Frequency Field Effects

2015

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Starting from the infinite-dimensional Ikeda map, we derive an extended temporal Lugiato-Lefever equation that may account for the effects of the conjugate electromagnetic fields (also called 'negative frequency fields'). In the presence of nonlinearity in a ring cavity, these fields lead to new forms of modulational instability and resonant radiations. Numerical simulations based on the new extended Lugiato-Lefever model show that the negative-frequency resonant radiations emitted by ultrashort cavity solitons can impact Kerr frequency comb formation in externally pumped temporal optical cavities of small size. Our theory is very general, is not based on the slowly-varying envelope approximation, and the predictions are relevant to all kinds of resonators, such as fiber loops, microrings and microtoroids.

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“…The compensation of the SRS by emission of linear radiation fields from the soliton's core was considered in Ref. [33]. In addition, the compensation of the SRS in inhomogeneous media was considered in several situations, viz., periodic SOD [34,35], shifting zero-dispersion point of SOD [36], and dispersion-decreasing fibers [37].…”

Section: Introductionmentioning

confidence: 99%

Damped solitons in an extended nonlinear Schrödinger equation with a spatial stimulated Raman scattering and decreasing dispersion

Gromov

Malomed

2014

Optics Communications

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Dynamics of solitons is considered in the framework of an extended nonlinear Schrödinger equation (NLSE), which is derived from a system of the Zakharov's type for the interaction between high-and low-frequency (HF and LF) waves. The resulting NLSE includes a pseudo-stimulatedRaman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term, which is a known ingredient of the temporal-domain NLSE in optics. Also included is inhomogeneity of the spatial second-order dispersion (SOD) and linear losses of HF waves. It is shown that wavenumber downshift by the pseudo-SRS may be compensated by upshift provided by SOD whose local strength is an exponentially decaying function of the coordinate. An analytical soliton solution with a permanent shape is found in an approximate form, and is verified by comparison with numerical results. Keywords: Extended Nonlinear Schrödinger Equation, Damped Soliton Solution, StimulatedScattering, Damping Low-Frequency Waves, Linear Loss High-Frequency Waves, Inhomogeneity Highlights >Dynamics of damped solitons is studied in an extended inhomogeneous nonlinear Schrödinger equation. >We consider media with stimulated-scattering damping acting on low-frequency waves and inhomogeneous spatial dispersion. >An approximate analytical solution for damped solitons is found in an explicit form.

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Theory of the soliton self-frequency shift compensation by the resonant radiation in photonic crystal fibers

Cited by 154 publications

References 44 publications

Dynamics of Raman soliton during supercontinuum generation near the zero-dispersion wavelength of optical fibers

Dynamics of Raman soliton during supercontinuum generation near the zero-dispersion wavelength of optical fibers

Nonlinear Cavity and Frequency Comb Radiations Induced by Negative Frequency Field Effects

Damped solitons in an extended nonlinear Schrödinger equation with a spatial stimulated Raman scattering and decreasing dispersion

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