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Soliton self-frequency shift for pulses with a duration less than the period of molecular oscillations

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Abstract

Since the observation of the soliton self-frequency shift,1,2it has been known that the Raman effect has a profound impact on soliton propagation for solitons with durations less than a picosecond. According to the theory developed by Gordon,2under the condition that the soliton duration τpis much longer than the period of molecular oscillations TR=2πΩR1 a soliton experiences a self-frequency shift, which is proportional to τp4. On the other hand, recently, in a number of experiments on soliton transmission and amplification in doped fibers,3solitons with durations as short as 20 fs were observed. Since the characteristic period of molecular oscillations in silica glass is about Tr≃ 80 fs (corresponding to the Stokes frequency shift of ΩR≃ 440 cm-1), in these experiments the condition τp< TRis fulfilled. This implies a qualitatively new regime of stimulated Raman scattering (SRS) in which the spectrum of the initial pulse contains already both Stokes and anti-Stokes spectral components.4In this situation, the conditions for the validity of the theoretical model developed in Ref. 2are not fulfilled, and an adequate analysis is required.

© 1994 IEEE

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