Ray tracing Gaussian beam optical systems

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.