Abstract

We analyze pulse propagation in a nonlinear optical fiber in which linear loss in the fiber is balanced by a chain of periodically spaced, phase-sensitive, degenerate parametric amplifiers. Our analysis shows that no pulse evolution occurs over a soliton period owing to attenuation in the quadrature orthogonal to the amplified quadrature. Evidence is presented that indicates that stable pulse solutions exist on length scales much longer than the soliton period. These pulses are governed by a nonlinear fourth-order evolution equation, which describes the exponential decay of arbitrary initial pulses (within the stability regime) onto stable, steady-state, solitonlike pulses.

© 1993 Optical Society of America

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)

Pulse propagation in nonlinear-optical fibers with phase-locked phase-sensitive amplifiers

Anne Niculae and William L. Kath
Opt. Lett. 20(6) 557-559 (1995)

Compensation of the soliton self-frequency shift with phase-sensitive amplifiers

Christopher G. Goedde, William L. Kath, and Prem Kumar
Opt. Lett. 19(24) 2077-2079 (1994)

Sideband instability induced by periodic power variation in long-distance fiber links

F. Matera, A. Mecozzi, M. Romagnoli, and M. Settembre
Opt. Lett. 18(18) 1499-1501 (1993)

Soliton propagation in twin-core fiber rocking filters

David C. Psaila and C. Martijn de Sterke
Opt. Lett. 18(22) 1905-1907 (1993)