This article introduces a streamlined method for ray-tracing Gaussian laser beams in optical systems, drawing from traditional matrix optics and J. A. Arnaud’s complex rays. It provides an intuitive tool for optical engineers, accommodating arbitrary initial beam curvatures and spot radii for versatile system analyses. Examples, including beam focusing, mode matching, and zoom lens systems, demonstrate its applicability. We present a user-friendly Microsoft Excel tool for simulations and optimization, along with a Python-coded 3D beam propagation model. This method enhances understanding and equips professionals with practical tools for various optical configurations. This work also explores the application to 3D virtual reality.

中文翻译：

---

光线追踪高斯光束光学系统

本文借鉴传统矩阵光学和 JA Arnaud 的复杂光线，介绍了一种在光学系统中对高斯激光束进行光线追踪的简化方法。它为光学工程师提供了直观的工具，可适应任意初始光束曲率和光斑半径，以进行多功能系统分析。包括光束聚焦、模式匹配和变焦透镜系统在内的示例证明了其适用性。我们提供了一个用于模拟和优化的用户友好的 Microsoft Excel 工具，以及 Python 编码的 3D 光束传播模型。这种方法增强了理解，并为专业人员提供了针对各种光学配置的实用工具。这项工作还探索了 3D 虚拟现实的应用。