中国物理B ›› 2001, Vol. 10 ›› Issue (5): 418-423.doi: 10.1088/1009-1963/10/5/311

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TEMPORAL OPTICAL SOLITONS VIA MULTISTEP χ(2) CASCADING

黄国翔   

  1. State Key Laboratory for Optical and Magnetic Resonance Spectroscopy and Department of Physics, East China Normal University, Shanghai 200062, China
  • 收稿日期:2000-11-12 修回日期:2000-12-29 出版日期:2001-05-15 发布日期:2005-06-12
  • 基金资助:
    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).

TEMPORAL OPTICAL SOLITONS VIA MULTISTEP $\chi^{(2)}$ CASCADING

Huang Guo-xiang (黄国翔)   

  1. State Key Laboratory for Optical and Magnetic Resonance Spectroscopy and Department of Physics, East China Normal University, Shanghai 200062, China
  • Received:2000-11-12 Revised:2000-12-29 Online:2001-05-15 Published:2005-06-12
  • Supported by:
    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).

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摘要： 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.

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.

Key words: cascading, second harmonic generation, sum frequency mixing, optical soliton

中图分类号:  (Optical solitons; nonlinear guided waves)

  • 42.65.Tg
42.65.Hw (Phase conjugation; photorefractive and Kerr effects) 42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation) 42.65.An (Optical susceptibility, hyperpolarizability)