Abstract

We analyze the effect of Raman scattering and higher-order dispersion on the propagation of short (1-ps) pulses in a nonlinear optical fiber in which the loss is balanced by a periodic chain of phase-sensitive, degenerate parametric amplifiers. The analysis shows that the Raman scattering does not induce a continuous frequency downshift on the pulse but only a small, finite frequency shift. Pulse propagation is governed by a nonlinear fourth-order evolution equation that admits stable solutions that propagate with a small, constant, inverse velocity in the group-velocity rest frame.

© 1994 Optical Society of America

Recovery of the soliton self-frequency shift by optical phase conjugation

Sien Chi and Senfar Wen
Opt. Lett. 19(21) 1705-1707 (1994)

Pulse propagation in nonlinear optical fiber lines that employ phase-sensitive parametric amplifiers

J. Nathan Kutz, Cheryl V. Hile, William L. Kath, Ruo-Ding Li, and Prem Kumar
J. Opt. Soc. Am. B 11(10) 2112-2123 (1994)

Controlling soliton perturbations with phase-sensitive amplification

Christopher G. Goedde, William L. Kath, and Prem Kumar
J. Opt. Soc. Am. B 14(6) 1371-1379 (1997)

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

J. Herrmann and A. Nazarkin
Opt. Lett. 19(24) 2065-2067 (1994)

Asymptotically stable compensation of the soliton self-frequency shift

Sabrina Pickartz, Uwe Bandelow, and Shalva Amiranashvili
Opt. Lett. 42(7) 1416-1419 (2017)