Distortions in focusing laser pulses due to spatio-temporal couplings:an analytic description  

作　　者：Klaus Steiniger Fabia Dietrich Daniel Albach Michael Bussmann Arie Irman Markus Loeser Richard Pausch Thomas Püschel Roland Sauerbrey Susanne Schöbel Ulrich Schramm Mathias Siebold Karl Zeil Alexander Debus 

机构地区：[1]Helmholtz-Zentrum Dresden-Rossendorf,Dresden,Germany [2]CASUS-Center for Advanced Systems Understanding,Görlitz,Germany [3]Technische Universität Dresden,Dresden,Germany

出　　处：《High Power Laser Science and Engineering》2024年第3期20-40,共21页高功率激光科学与工程（英文版）

基　　金：Center for Advanced Systems Understanding(CASUS)。

摘　　要：In ultra-short laser pulses,small changes in dispersion properties before the final focusing mirror can lead to severe pulse distortions around the focus and therefore to very different pulse properties at the point of laser±matter interaction,yielding unexpected interaction results.The mapping between far-and near-field laser properties intricately depends on the spatial and angular dispersion properties as well as the focal geometry.For a focused Gaussian laser pulse under the influence of angular,spatial and group-delay dispersion,we derive analytical expressions for its pulse-front tilt,duration and width from a fully analytic expression for its electric field in the time±space domain obtained with scalar diffraction theory.This expression is not only valid in and near the focus but also along the entire propagation distance from the focusing mirror to the focus.Expressions relating angular,spatial and group-delay dispersion before focusing at an off-axis parabola,where they are well measurable,to the respective values in the pulse’s focus are obtained by a ray tracing approach.Together,these formulas are used to show in example setups that the pulse-front tilts of lasers with small initial dispersion can become several tens of degrees larger in the vicinity of the focus while being small directly in the focus.The formulas derived here provide the analytical foundation for observations previously made in numerical experiments.By numerically simulating Gaussian pulse propagation and measuring properties of the pulse at distances several Rayleigh lengths off the focus,we verify the analytic expressions.

关 键 词：group-delay dispersion pulse-front tilt spatio-temporal couplings third-order dispersion ultra-short laser pulses 

分 类 号：TN24[电子电信—物理电子学]