With increasing interest in using orbital angular momentum (OAM) modes in high-power laser systems, accurate mathematical descriptions of the high-intensity modes at focus are required for realistic modeling. In this work, we derive various high-intensity orbital angular momentum focal spot intensity distributions generated by Gaussian, super-Gaussian, and ideal flat-top beams common to high-power laser systems. These intensity distributions are then approximated using fitted Laguerre-Gaussian basis functions as a practical way for describing high-power OAM beams in theoretical and numerical models.

中文翻译：

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高强度光学涡旋的最佳Laguerre-Gaussian模式。

随着在高功率激光系统中使用轨道角动量（OAM）模式的兴趣日益浓厚，对于逼真的建模，需要对焦点处的高强度模式进行精确的数学描述。在这项工作中，我们推导了高斯，超高斯和高功率激光系统常见的理想平顶光束产生的各种高强度轨道角动量焦点强度分布。然后，使用拟合的Laguerre-Gaussian基函数对这些强度分布进行近似，这是一种在理论和数值模型中描述高功率OAM光束的实用方法。