论文标题
飞行焦点电磁场的确切解决方案
Exact solutions for the electromagnetic fields of a flying focus
论文作者
论文摘要
“飞行焦点”的强度峰值以可编程速度在许多瑞利范围内传播，同时保持了几乎恒定的轮廓。评估这些功能可以在多大程度上增强基于激光的应用需要准确描述电磁场。在这里，我们向麦克斯韦方程提出了精确的分析解决方案，用于恒定飞行焦点的电磁场，该方程是任意极化和轨道角动量的概括。该方法结合了复杂的源点方法，该方法将多极溶液转换为梁状溶液，并将其与麦克斯韦方程的洛伦兹不变性。在太空中向后传播田地表明，光学组装必须产生的时空轮廓以实现实验室中的这些磁场。与较简单的近端解决方案进行比较为其在建模飞行重点时可靠用途提供了条件。
The intensity peak of a "flying focus" travels at a programmable velocity over many Rayleigh ranges while maintaining a near-constant profile. Assessing the extent to which these features can enhance laser-based applications requires an accurate description of the electromagnetic fields. Here we present exact analytical solutions to Maxwell's equations for the electromagnetic fields of a constant-velocity flying focus, generalized for arbitrary polarization and orbital angular momentum. The approach combines the complex source-point method, which transforms multipole solutions into beam-like solutions, with the Lorentz invariance of Maxwell's equations. Propagating the fields backward in space reveals the space-time profile that an optical assembly must produce to realize these fields in the laboratory. Comparisons with simpler paraxial solutions provide conditions for their reliable use when modeling a flying focus.
