Asymptotic evolution of transient pulses undergoing stimulated Raman scattering

Menyuk, Curtis R.; Hilfer, Godehard

doi:10.1364/ol.14.000227

Cited by 16 publications

(5 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Previous work tuned the gas pressure and pump energy. Meng et al (2017) also recently showed RDW emission from an OPA tuned between 1.3 and 1.5 μm in an Ar-filled broadband-guiding HC-PCF. As the pump wavelength in this case was much closer to the zero dispersion wavelength, the RDW emission was shifted to around 1000 nm.…”

Section: Infrared Pumping For Rdw Emissionmentioning

confidence: 80%

“…Accordions are the nonsolitonic solutions of the sine-Gordon equation associated with TSRS. In the presence of memory they dominate the long-distance evolution of the system instead of solitons (Menyuk and Hilfer, 1989;Menyuk, Levi, and Winternitz, 1992;Menyuk, 1993). Two difficulties severely hampered the previous attempts for observing accordions in free-space interaction geometry, namely, designing an experiment of sufficient length to observe the phenomenon, while avoiding the parasitic interference from the higher-order Raman sidebands (Duncan et al, 1988).…”

Section: Early Developments Of Coherent Raman Effects In Hc-pcfsmentioning

confidence: 99%

See 1 more Smart Citation

Hybrid photonic-crystal fiber

et al. 2017

View full text Add to dashboard Cite

This article offers an extensive survey of results obtained using hybrid photonic-crystal fibers (PCFs) which constitute one of the most active research fields in contemporary fiber optics. The ability to integrate novel and functional materials in solid-and hollow-core PCFs through various postprocessing methods has enabled new directions toward understanding fundamental linear and nonlinear phenomena as well as novel application aspects, within the fields of optoelectronics, material and laser science, remote sensing, and spectroscopy. Here the recent progress in the field of hybrid PCFs is reviewed from scientific and technological perspectives, focusing on how different fluids, solids, and gases can significantly extend the functionality of PCFs. The first part of this review discusses the efforts to develop tunable linear and nonlinear fiber-optic devices using PCFs infiltrated with various liquids, glasses, semiconductors, and metals. The second part concentrates on recent and state-of-the-art advances in the field of gas-filled hollow-core PCFs. Extreme ultrafast gas-based nonlinear optics toward light generation in the extreme wavelength regions of vacuum ultraviolet, pulse propagation, and compression dynamics in both atomic and molecular gases, and novel solitonplasma interactions are reviewed. A discussion of future prospects and directions is also included.

show abstract

Section: Infrared Pumping For Rdw Emissionmentioning

confidence: 80%

Section: Early Developments Of Coherent Raman Effects In Hc-pcfsmentioning

confidence: 99%

Hybrid photonic-crystal fiber

et al. 2017

View full text Add to dashboard Cite

show abstract

“…While soliton solutions exist, they are always transient [20,21]. Numerical results [22,23] indicate that the evolution passes through three regimes: (1) an I regime in which the Stokes amplitude is small compared to the pump amplitude and grows exponentially, (2) a transition regime in which the Stokes and pump amplitudes are comparable, and (3) a J regime in which the pump amplitude is small compared to the Stokes amplitude and undergoes a slow algebraic decay -g ' . In the latter regime, toward which the system always tends, self-similar oscillations whose number is proportional to g' occur.…”

Section: Introductionmentioning

confidence: 94%

“…(18). Equation (21) 3, =sech(r), 22 =exp(ivor)sech(r), (22) 82=sin(po/2)+ g b2 J p, j=1 (19) which corresponds physically to a frequency mismatch.…”

Section: IVmentioning

confidence: 99%

Long-distance evolution in transient stimulated Raman scattering

1993

Phys. Rev. A

View full text Add to dashboard Cite

Systems that exhibit stimulated Raman scattering in the transient limit have long been the subject of theoretical and experimental study, and recent experimental developments have made possible the observation of the long-distance evolution of these systems. These systems are integrable using the inverse scattering method; however, in contrast to the usual behavior in integrable systems, solitons do not dominate the long-distance behavior. Instead, solitons are transient, and self-similarity appears in the longdistance limit. In this paper, the similarity solutions of the equations which describe stimulated Raman scattering are first reviewed from a physical standpoint. Inverse scattering theory is then used to show that given physically reasonable initial data in which the pump and Stokes waves have no linear frequency mismatch, the solution will converge toward a self-similar solution. These results are confirmed by a numerical comparison of the solution of the transient, stimulated Raman-scattering equations to the appropriate self-similar solutions. The length scale over which convergence occurs and the transient generation of solitons are observed. From a physical standpoint, the appearance of self-similarity rather than solitons in the long-distance limit can be attributed to the presence of memory in the Raman-active medium. Other systems with memory also exhibit self-similarity, and the results which are described here may have applications to a wide array of optical systems with memory. An experiment which could observe self-similarity is described.PACS number(s): 42.65. Dr, 03.40.Kf, 42.50.Md prevents this approach from being applied to transient pulses, and an experimental configuration has already been proposed [12]. In this paper, we show how to calculate the evolution of transient SRS systems in the longdistance limit. At the end, we describe an experiment which could observe the predicted behavior.

show abstract

“…In later experiments by Duncan et al [16] a careful comparison between theory and experiment showed good agreement. Shortly after this work [16], Hilfer and Menyuk [17] carried out simulations which indicate that in the highly depleted regime the solutions of transient SRS equations always tend toward a self-similar solution. This result has been recovered by Menyuk et al [18,19] applying the inverse scattering transform method (ISM) to the transient SRS equations, see [12].…”

Section: Introductionmentioning

confidence: 99%