We present a numerical study of the wave breakup and soliton formation in a standard single-mode fiber pumped by variable pulse lengths in the range from 20 to 400 ps in the presence of noise. The average power and the standard deviation of the trailing soliton were calculated. We calculated also the average distance at which the soliton time delay reaches 1.5 times the pulse width. We found that for pulses longer than 100 ps the breakup starts from the amplification of the noisy modulation of the amplitude by the modulation instability mechanism even for very low noise power, while for pulses shorter than 20 ps the breakup starts from the pulse collapse. For intermediate durations, wave breakup starts from the pulse collapse at low noise power, while for higher noise power, modulation instability prevails.
© 2006 Optical Society of America
Original Manuscript: March 14, 2006
Revised Manuscript: July 11, 2006
Manuscript Accepted: August 10, 2006
Sergio Mendoza-Vazquez, Evgeny A. Kuzin, Sabino Chavez-Cerda, Baldemar Ibarra-Escamilla, Jaime Gutierrez-Gutierrez, Joseph W. Haus, and Roberto Rojas-Laguna, "Pulse breakup and Raman-shifted solitons in a standard fiber with subnanosecond pumping in the presence of noise," J. Opt. Soc. Am. B 23, 2336-2341 (2006)