Abstract

An integrable nonlinear Schrödinger equation incorporating time-varying phase modulation is presented. A family of solutions is identified, including solitons that oscillate in position and frequency. The equation is used to model steady-state asynchronous laser mode locking. Numerical simulations are used to verify the model and to explore the breakdown of the model as the product of pulse width and modulation frequency is increased.

© 2001 Optical Society of America

Carrier-envelope phase slip of ultrashort dispersion-managed solitons

Mark J. Ablowitz, Boaz Ilan, and Steven T. Cundiff
Opt. Lett. 29(15) 1808-1810 (2004)

Group velocity of solitons

H. A. Haus and E. P. Ippen
Opt. Lett. 26(21) 1654-1656 (2001)

Dispersion-managed solitons with net positive dispersion

Y. Chen and H. A. Haus
Opt. Lett. 23(13) 1013-1015 (1998)

Soliton optical phase control by use of in-line filters

Marc Hanna, Henri Porte, Jean-Pierre Goedgebuer, and William T. Rhodes
Opt. Lett. 24(11) 732-734 (1999)

Bragg modulational instability induced by a dynamic grating in an optical fiber

S. Pitois, M. Haelterman, and G. Millot
Opt. Lett. 26(11) 780-782 (2001)