Dispersive waves emitted by solitons perturbed by third-order dispersion inside optical fibers

Roy, Somnath; Bhadra, Shyamal Kumar; Agrawal, Govind P.

doi:10.1103/physreva.79.023824

Cited by 83 publications

(39 citation statements)

References 15 publications

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“…The temporal and spectral evolutions of the pulse shown in Fig. 11(b) present a clear evidence of a DW on the red side, as expected from theory [8,31]. From the temporal evolution in Fig.…”

Section: Input Pulse Launched At the Anomalous Gvd Regionsupporting

confidence: 78%

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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“…The temporal and spectral evolutions of the pulse shown in Fig. 11(b) present a clear evidence of a DW on the red side, as expected from theory [8,31]. From the temporal evolution in Fig.…”

Section: Input Pulse Launched At the Anomalous Gvd Regionsupporting

confidence: 78%

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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“…During the supercontinuum generation process, the blue component of the spectra are mainly generated because of this phase-matched radiation [32], [33]. The implication of this resonant radiation and its control are studied extensively in the context of perturbed soliton dynamics [21], [22]. However this problem is less addressed when the system is non-integrable and governed by some energy balance condition.…”

Section: Formation Of Dwmentioning

confidence: 99%

“…This energy transfer leads to a linear wave in ND regime called dispersive wave (DW). The PM condition is achieved by equating the phase of soliton and the DW [21], [22]. It is interesting to study how this resonance condition is modified in case of DS containing an additional phase term that depends on the damping parameters (like TPA loss and gain dispersion).…”

Section: Introductionmentioning

confidence: 99%

Dissipative soliton mediated radiations in active silicon-based waveguides

Sahoo

Roy

2018

J. Opt. Soc. Am. B

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Abstract-The Ginzburg-Landau (GL) equation is in general not integrable by the inverse scattering method and support solitary-wave solution, called dissipative soliton (DS). We numerically demonstrate that, a DS can radiate dispersive waves (DWs) in presence of third-order dispersion (TOD). We propose a silicon-based active waveguide that excites stable DSs. Energy can be transferred from these stable DS to linear DWs when a resonance condition is achieved. The dynamics of the DS is governed by the complex GL equation which we solve numerically for different operational parameters. Numerical solution of the perturbed GL equation exhibits multiple radiations, when the stable DS is allowed to propagate through a large distance. We theoretically derive a special phase-matching relation that can predict the frequencies of these multiple radiations, which are found numerically. In our theoretical and numerical calculations we include the role of free carriers which appear inside semiconductor waveguides as a consequence of two-photon absorption (TPA). We demonstrate that apart from TOD, TPA and gain dispersion are two additional parameters that can control the radiation emitted by DS. The DS-mediated radiation is different in nature and demands an intuitive understanding. In this work we try to provide some insights of this fascinating radiation phenomenon by elaborate analytical and numerical calculations.

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“…NLSE has been used to analyze the influence of various parameters on the SC generation [12,13]. In those studies, the WDB in the Supercontinuum generation has not been enough studied [14,15]. In this work, we study numerically the influence of WDB in the SC and DW generation.…”

Section: Introductionmentioning

confidence: 99%

Influence of the Wavelength Dependence of Birefringence in the Generation of Supercontinuum and Dispersive Wave in Fiber Optics

Herrera

2017

Mathematical Problems in Engineering

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In this paper, we perform numerical analysis about the influence of the wavelength dependence of birefringence (WDB) in the Supercontinuum (SC) and dispersive wave (DW) generation. We study different birefringence profiles such as constant, linear, and parabolic. We see that, for a linear and parabolic profile, the generation of SC practically does not change, while this does so when the constant value of the birefringence varies. Similar situation happens with the generation of dispersive waves. In addition, we observe that the broadband of the SC increases when the Stimulated Raman Scattering (SRS) is neglected for all WDB profiles.

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Dispersive waves emitted by solitons perturbed by third-order dispersion inside optical fibers

Cited by 83 publications

References 15 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

Dissipative soliton mediated radiations in active silicon-based waveguides

Influence of the Wavelength Dependence of Birefringence in the Generation of Supercontinuum and Dispersive Wave in Fiber Optics

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