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arXiv physics/0309084physics.optics
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色散介质中的定域和定态光波模

Localized and stationary light wave modes in dispersive media

Miguel A. Porras, Paolo Di Trapani

摘要:

在最近的实验中,利用飞秒脉冲在二阶非线性过程中产生了定域和平稳脉冲,其渐近特性与线性色散介质中无衍射无色散多色贝塞尔光束的渐近特性有关。我们调查这些线性波的性质,并表明,他们可以确定与X形(O形)模式的双曲(椭圆)波方程在正常(异常)色散介质。取决于模式相位失配、相对于平面脉冲的群速度失配以及被击败的群速度色散的相对强度,这些模式可以分别采用脉冲贝塞尔光束、聚焦波模式和X波(O波)的形式。

英文摘要:

In recent experiments, localized and stationary pulses have been generated in second-order nonlinear processes with femtosecond pulses, whose asymptotic features relate with those of nondiffracting and nondispersing polychromatic Bessel beams in linear dispersive media. We investigate on the nature of these linear waves, and show that they can be identified with the X-shaped (O-shaped) modes of the hyperbolic (elliptic) wave equation in media with normal (anomalous) dispersion. Depending on the relative strengths of mode phase mismatch, group velocity mismatch with respect to a plane pulse, and of the defeated group velocity dispersion, these modes can adopt the form of pulsed Bessel beams, focus wave modes, and X-waves (O-waves), respectively.

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