2021
DOI: 10.1364/josab.409240
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High-order analytical formulation of soliton self-frequency shift

Abstract: We derive an analytical formulation of the Raman-induced frequency shift experienced by a fundamental soliton. By including propagation losses, self-steepening, and dispersion slope, the resulting formulation is a high-order (HO) extension of the well-known Gordon’s formula for soliton self-frequency shift (SSFS). The HO-SSFS formula agrees closely with numerical results of the generalized nonlinear Schrödinger equation, but without the computational complexity and required computation time. The HO-SSFS formul… Show more

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Cited by 21 publications
(10 citation statements)
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“…Moreover, the losses in the fiber increase exponentially at wavelengths above 4 µm, reducing the peak power even more. This behavior was discussed on the theoretical level recently 36 . In fact, this phenomenon is the motivation for using a cascade of several optical fibers with different properties to generate an important wavelength shift, an approach already discussed by different groups 26 , 28 , 30 , 35 .…”
Section: Simulationsmentioning
confidence: 89%
“…Moreover, the losses in the fiber increase exponentially at wavelengths above 4 µm, reducing the peak power even more. This behavior was discussed on the theoretical level recently 36 . In fact, this phenomenon is the motivation for using a cascade of several optical fibers with different properties to generate an important wavelength shift, an approach already discussed by different groups 26 , 28 , 30 , 35 .…”
Section: Simulationsmentioning
confidence: 89%
“…Moreover, the losses in the InF 3 fiber increase exponentially at wavelengths above 4 µm, reducing the peak power even more. This behavior was discussed on the theoretical level recently 30 . In fact, this phenomenon is the motivation for using a cascade of several optical fibers with different properties to generate an important wavelength shift, an approach already discussed by different groups [22][23][24][25] .…”
Section: General Behavior Of the Systemmentioning
confidence: 89%
“…with a transmittance =72%. The length of NLF required is first estimated from the modified Gordon's formula [1] and then experimentally optimized to 3.4 m to maximize SSFS. Fig.…”
Section: Methodsmentioning
confidence: 99%
“…oliton self-frequency shift (SSFS) is a well-known wavelength conversion process that generates femtosecond pulses with broad spectral tunability [1]- [3]. In the 2 µm wavelength band, SSFS has been demonstrated on one hand from passive fibers, and on the other hand from active fibers.…”
Section: Introductionmentioning
confidence: 99%