Abstract

We introduce a simple exact solution of the wave equation in free space. It describes unidirectional finite-energy single-cycle and sub-cycle pulses. Depending on the ratio of its free parameters, the solution can yield, in particular, pancake, ball, and needle pulses.

中文翻译：

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单向单周期和子周期脉冲

摘要

我们介绍自由空间中波动方程的简单精确解。它描述了单向有限能单周期和子周期脉冲。取决于其自由参数的比率，溶液可以产生特别是薄煎饼，球形和针状脉冲。