Transverse-mode dependence of femtosecond filamentation.
Transverse-mode dependence of femtosecond filamentation.
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DOI：
10.1364/oe.17.012217
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发表时间：
2009-07
期刊：
影响因子：
3.8
通讯作者：
Zhenming Song;Zhigang Zhang;T. Nakajima
中科院分区：
文献类型：
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作者：
Zhenming Song;Zhigang Zhang;T. Nakajima
我们从理论上研究了氩气中飞秒灯丝的横模依赖性。三种不同的横向模式，贝塞尔，高斯和拉盖尔模式，考虑了入射激光脉冲。通过求解与电子密度方程耦合的扩展非线性Schrödinger方程，我们发现在相同的峰值强度、脉冲持续时间和光束直径下，贝塞尔入射光束诱导的灯丝和等离子体通道的长度要比其他横向模式长得多。此外，我们发现具有贝塞尔入射模式的脉冲在传播过程中几乎没有畸变。由于在相同的峰值强度、脉冲持续时间和光束直径下，贝塞尔光束可以携带的脉冲能量比其他模式大一个数量级以上，因此贝塞尔光束可以成为涉及在克尔介质中传播的超快非线性光学的一个非常强大的工具。
We theoretically investigate the transverse-mode dependence of femtosecond filamentation in Ar gas. Three different transverse modes, Bessel, Gaussian, and Laguerre modes, are considered for incident laser pulses. By solving the extended nonlinear Schrödinger equation coupled with the electron density equation, we find that the lengths of the filament and the plasma channel induced by the Bessel incident beam is much longer than the other transverse modes with the same peak intensity, pulse duration, and beam diameter. Moreover we find that the temporal profile of the pulse with the Bessel incident mode is nearly undistorted during the propagation. Since the pulse energy that the Bessel beam can carry is more than one order of magnitude larger than the other modes for the same peak intensity, pulse duration, and beam diameter, the Bessel beam can be a very powerful tool in ultrafast nonlinear optics involving propagation in a Kerr medium.