Saari P
Opt Express. 2001 May 21;8(11):590-8. doi: 10.1364/oe.8.000590.
A simple but exact treatment of spatiotemporal behavior of ultrawideband pulses under an arbitrarily tight focusing is developed. The model makes use of the oblate spheroidal coordinate system to represent free scalar field as if generated by a point-like source-and-sink pair placed at a complex location. The results, illustrated by animated 3D plots, demonstrate characteristic temporal reshaping of the pulses in the course of propagation through the focus, which is a spectacular manifestation of the Gouy phase shift. It is shown that the salient features of the reshaping, which were recently established for the paraxial limit, remain valid beyond it. The treatment is particularly applicable to an ultrawideband isodiffracting ultrashort terahertz-domain or light pulses in high-aperture resonators, such as microcavities, and it is usable in femto- and attosecond optics in general.
我们开发了一种简单而精确的方法来处理超宽带脉冲在任意紧密聚焦下的时空行为。该模型利用扁椭球坐标系将自由标量场表示为由位于复位置的点状源 - 汇对产生的场。通过动画3D图展示的结果表明,脉冲在通过焦点传播过程中呈现出特征性的时间重塑,这是古依相移的显著表现。结果表明,最近在傍轴极限情况下确定的重塑的显著特征在该极限之外仍然有效。该方法特别适用于高孔径谐振器(如微腔)中的超宽带等衍射超短太赫兹域或光脉冲,并且一般可用于飞秒和阿秒光学领域。