Based on spatiotemporal nonlinear Schrödinger equation, we numerically study the modulation instability how to affect the self-focusing of broadband pulsed-beam with large chirp. We found that the chirp of the pulse can postpone the speed of the modulation growth from the simulation results. However, it is not work all along with increasing chirp value, but tend to a certain value. The curves of the contrast of chirped pulsed-beam will become superposition as chirp value is enough large when it propagates in nonlinear medium. Then, the influence of pulse bandwidth on modulation will become small, when the chirp has enough value in anomalous dispersion medium. At last, we also found that, in anomalous dispersion medium, temporal modulation growth and small-scale self-focusing can occur before the whole self-focusing, furthermore, the temporal instability will lead spatial focusing and splitting to bring forward.

Date Published: 4 January 2008
PDF: 8 pages
Proc. SPIE 6839, Nonlinear Optics: Technologies and Applications, 68391D (4 January 2008); doi: 10.1117/12.756291

Published in SPIE Proceedings Vol. 6839:
Nonlinear Optics: Technologies and Applications
Yiping Cui; Qihuang Gong; Yuen-Ron Shen, Editor(s)