构造时空波包的二次曲面
Quadrics for structuring space-time wavepackets
摘要：
时空光结构已经成为控制脉冲光束传输动力学的一个非常有力的工具。在过去的几年里，操纵和产生光的时空分布的能力得到了显著的提高，这使得我们可以设想整个光学光谱的应用。迄今为止，被操纵的时空光波包通常是二维物体（一个空间维度和一个时间维度），其模式分辨光谱位于圆锥截面内。使用简单的对称性和不变性原理，我们表明，这样的波包的特殊情况下，更一般的三维结构，其时空频率位于二次曲面。我们提出的框架允许在这里分类定位在所有维度的时空波包，在任何群速度色散制度，无论是在散装和波导。特别强调的是轨道角动量携带时空波包。这种前所未有的理论方法为时空光学的多功能合成开辟了道路。
英文摘要：
Space-time light structuring has emerged as a very powerful tool for controlling the propagation dynamics of pulsed beam. The ability to manipulate and generate space-time distributions of light has been remarkably enhanced in past few years, letting envision applications across the entire spectrum of optics. Space-time optical wavepackets manipulated up to now are usually two-dimensional objects (one space dimension and time) whose mode-resolved spectra lie in a conical section. Using simple symmetry and invariance principles, we show that such wavepackets are particular cases of more general three-dimensional structures whose space-time frequencies lie on quadric surfaces. Our proposed framework allows here classifying space-time wavepackets localized in all dimensions, in any group-velocity dispersion regime, both in bulk and waveguides. Particular emphasis is placed on orbital angular momentum-carrying space-time wavepackets. This unprecedented theoretical approach opens the way for versatile synthesizing of space-time optics.
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