Optical System Modeling with Python Matrices

Simulating how light travels through lenses and mirrors is a foundational step in optical engineering, but doing it by hand quickly becomes impossible. This text-based course guides you through modeling optical systems using matrix mechanics and Python's scientific computing libraries. You will learn to translate physical lenses, distances, and interfaces into clean mathematical representations. By mastering these concepts, you will be able to programmatically analyze complex optical setups, trace rays, and solve linear equations with confidence. What you'll learn: Understand the core physics of ray transfer matrix analysis (ABCD matrix helper concepts), Set up refraction and translation matrices for lenses and free-space propagation, Implement scientific computations using NumPy array structures and modern type hints, Solve linear equations to find image planes and focal points, Write clean and modular Python code to automate optical system calculations, Practice debugging numerical calculations with pytest frameworks. You will start with the fundamental physics of ray tracing and matrix optics before moving into hands-on mathematical modeling and Python implementation. This course is designed for beginners in scientific computing and optical physics, requiring only basic Python knowledge and high school algebra. Start building your computational physics toolkit today.