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

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
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.

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.

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