Small-Scale Self-Focusing of Divergent Beams

Yalong Gu; Jianqiang Zhu

Collection Of theses on high power laser and plasma physics, 2006, 4 (1): 46, Published Online: Jun. 4, 2007

Small-Scale Self-Focusing of Divergent Beams

论文大纲

Yalong Gu ^1,2,*Jianqiang Zhu ¹

Author Affiliations

¹ 中国科学院上海光学精密机械研究所高功率激光物理国家实验室, 上海 201800

² 中国科学院研究生院, 北京 100039

非线性光学小尺度自聚焦成丝 B积分 nonlinear optics small-scale self-focusing filamentation B integral

Abstract

The small-scale self-focusing of divergent beams is studied. Based on the nonlinear paraxial wave equation, the propagation equation of small-scale perturbation of divergent beams has been deduced with a coordinate transformation. The evolvement law of the growth critical frequency of small-scale perturbation, maximum growth frequency and relative B integral is obtained. The influence of the initial radius of divergent beams on small-scale self-focusing is discussed. It is found that for a given propagation distance, the fastest growing frequency, the maximum perturbation growth, and thus the B integral decrease with the decrease of the initial radius of divergent beams. For a given initial radius, as the propagation distance increases, the growth of the B-integral becomes slow and stops at last. Also, the expression for the distance at which the filaments are formed is obtained by local energy conservation, and it is shown that a small initial radius extends the filamentation distance.

References

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Yalong Gu, Jianqiang Zhu. Small-Scale Self-Focusing of Divergent Beams[J]. Collection Of theses on high power laser and plasma physics, 2006, 4(1): 46.

Small-Scale Self-Focusing of Divergent Beams

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