Abstract We consider a multistep $\chi^{(2)}$ cascading for light pulses with the dispersion of the system taken into account. Using the method of multiple scales we derive a set of coupled envelope equations governing the nonlinear evolution of the fundamental, second and third harmonic waves involved simultaneously in two nonlinear optical processes, i.e. second harmonic generation and sum frequency mixing. We show that three-wave temporal optical solitons are possible in three-and four-step cascading in the presence of a group-velocity mismatch between different pulses.
Received: 12 November 2000
Revised: 29 December 2000
Accepted manuscript online:
Fund: Project supported by the Trans-Century Training Programme Foundation for the Talents by the Ministry of Education of China, and the National Natural Science Foundation of China (Grant No. 19975019).
Cite this article:
Huang Guo-xiang (黄国翔) TEMPORAL OPTICAL SOLITONS VIA MULTISTEP $\chi^{(2)}$ CASCADING 2001 Chinese Physics 10 418
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