Ultrashort-pulse propagation in optical fibers

Mamyshev, P. V.; Chernikov, S.V.

doi:10.1364/ol.15.001076

Cited by 198 publications

(86 citation statements)

References 18 publications

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“…Similar but more pronounced tendencies are observed when the Raman term is omitted (b) and dispersion of the effective core area is omitted (c), as compared with the calculations with all terms (a), like the 2-cycle pulse calculations. In this case, the additional calculation is carried out with the same terms as in (a) except that only up to third-order dispersion terms are included [ in (12)] is shown (d). There is a difference in spectra between this (d) and the one with all terms (a).…”

Section: B Calculations Of 2-cycle and Monocycle Pulse Spm Casesmentioning

confidence: 99%

“…Unlike their equations, ours include the Raman effect, IPM, and all order of terms for waveguide and material linear dispersion. Equations including the Raman effect for SPM are derived by Blow and Wood [11] and Mamyshev and Chernikov [12], where the dispersion of linear terms is included up to the fourth-order terms for [11] and up to the third-order terms for [12]. However, no explicit method for including all orders of linear dispersion terms was shown and no comparisons between calculated and experimental results for a few cycle pulses were performed.…”

Section: Introductionmentioning

confidence: 99%

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Comparison between theory and experiment of nonlinear propagation for a-few-cycle and ultrabroadband optical pulses in a fused-silica fiber

Karasawa

Nakamura

Nakagawa

et al. 2001

IEEE J. Quantum Electron.

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Abstract-Wave-propagation equations, including effectively the second derivative in time under the condition of a small difference between the group and phase velocities and the first derivative in position in the group velocity coordinate, are derived based on the slowly evolving wave approximation. These can describe ultrabroadband optical pulse propagation with not only self-phase modulation (SPM), but also induced-phase modulation (IPM) in the monocycle regime in a fiber. It is shown that linear dispersion effects can be rigorously included in the numerical calculations. Calculations including SPM in a single-mode fused-silica fiber with the Raman effect are performed and compared with experimental results. Also, calculations including IPM in the fused-silica fiber are compared with experimental results. The effects of each term in the calculations on spectra are analyzed and it is shown that inclusion of the Raman effect and the dispersion of the effective core area is important for obtaining better agreement with experiments. It is shown that inclusion of more than third-order dispersion terms is necessary for calculations of monocycle pulse propagation.Index Terms-Nonlinear fiber optics, ultrabroadband and monocycle pulse propagation, self-and induced-phase modulation.

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Section: B Calculations Of 2-cycle and Monocycle Pulse Spm Casesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Comparison between theory and experiment of nonlinear propagation for a-few-cycle and ultrabroadband optical pulses in a fused-silica fiber

Karasawa

Nakamura

Nakagawa

et al. 2001

IEEE J. Quantum Electron.

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“…25 Considering the ultrafast laser pulse as a superposition of monochromatic waves propagating in the z direction, the electric field averaged over a transverse coordinate is given by 25…”

Section: Discussionmentioning

confidence: 99%

“…In the time domain, for a particular state of linear polarization, the third order response the electric field is given in a frame of reference set by the carrier wave by 25,26 …”

Section: Discussionmentioning

confidence: 99%

Nonlinear optics in germanium mid-infrared fiber material: Detuning oscillations in femtosecond mid-infrared spectroscopy

et al. 2017

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Germanium optical fibers hold great promise in extending semiconductor photonics into the fundamentally important mid-infrared region of the electromagnetic spectrum. The demonstration of nonlinear response in fabricated Ge fiber samples is a key step in the development of mid-infrared fiber materials. Here we report the observation of detuning oscillations in a germanium fiber in the mid-infrared region using femtosecond dispersed pump-probe spectroscopy. Detuning oscillations are observed in the frequency-resolved response when mid-infrared pump and probe pulses are overlapped in a fiber segment. The oscillations arise from the nonlinear frequency resolved nonlinear (χ(3)) response in the germanium semiconductor. Our work represents the first observation of coherent oscillations in the emerging field of germanium mid-infrared fiber optics.

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“…These are the traditional self-steepening terms known in unstructured waveguides and do not play a role here with these small 013816-2 magnitudes [16]. The third term encompassing effective modal areas A eff was considered in fibers [26], and theoretically in silicon channel waveguides [20] with surprisingly little attention in photonic crystal fibers [27]. Further, in those earlier works the area term contributed a few percent whereas here the slow-light modes exhibit rapid variation in spatial profile with ω and this term contributes ≈ 25% to the total τ NL .…”

Section: Self-steepening In Phcwgsmentioning

confidence: 99%

Giant anomalous self-steepening in photonic crystal waveguides

Husko

Colman

2015

Phys. Rev. A

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Self-steepening of optical pulses arises due the dispersive contribution of the χ (3) (ω) Kerr nonlinearity. In typical structures this response is on the order of a few femtoseconds with a fixed frequency response. In contrast, the effective χ (3) Kerr nonlinearity in photonic crystal waveguides (PhCWGs) is largely determined by the geometrical parameters of the structure and is consequently tunable over a wide range. Here we show self-steepening based on group-velocity (group-index) modulation for the first time, giving rise to a new physical mechanism for generating this effect. Further, we demonstrate that periodic media such as PhCWGS can exhibit self-steepening coefficients two orders of magnitude larger than typical systems. At these magnitudes the self-steepening strongly affects the nonlinear pulse dynamics even for picosecond pulses. Due to interaction with additional higher-order nonlinearities in the semiconductor materials under consideration, we employ a generalized nonlinear Schrödinger equation numerical model to describe the impact of self-steepening on the temporal and spectral properties of the optical pulses in practical systems, including new figures of merit. These results provide a theoretical description for recent experimental results presented in [Scientific Reports 3, 1100) and Phys. Rev. A 87, 041802 (2013]. More generally, these observations apply to all periodic media due to the rapid group-velocity variation characteristic of these structures.

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Ultrashort-pulse propagation in optical fibers

Cited by 198 publications

References 18 publications

Comparison between theory and experiment of nonlinear propagation for a-few-cycle and ultrabroadband optical pulses in a fused-silica fiber

Comparison between theory and experiment of nonlinear propagation for a-few-cycle and ultrabroadband optical pulses in a fused-silica fiber

Nonlinear optics in germanium mid-infrared fiber material: Detuning oscillations in femtosecond mid-infrared spectroscopy

Giant anomalous self-steepening in photonic crystal waveguides

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