Optical System Modeling with Jones Calculus in Python

Simulating how light behaves as it passes through lenses, filters, and waveplates is essential for modern optical engineering, but building these models from scratch can feel daunting. This course bridges the gap between physics theory and practical programming, showing you how to represent optical properties using matrix mathematics. You will learn to construct clean, reproducible simulations of polarization states and optical systems using standard scientific computing libraries. By completing this written course, you will transition from understanding raw physics equations to writing functional Python code that models complex light interactions. You will gain the confidence to analyze polarization changes, test system configurations virtually, and verify your optical designs programmatically. What you'll learn: - Understand the foundational physics of light polarization and Jones vector representation - Define mathematical matrices for polarizers, waveplates, and phase retarders in Python code - Build sequential optical system models by multiplying Jones matrices in order - Apply modern Python programming practices, including type hints and structured arrays, for clean scientific code - Analyze polarization state changes using simulated measurements and output calculations - Practice debugging numerical models to ensure physical accuracy in your simulations The course begins with essential terminology, establishing a solid understanding of polarization states and matrix calculus before moving into hands-on code implementation. You will progress from single-element calculations to building multi-component system simulations step-by-step. This course is designed for beginner to intermediate programmers, physics students, and junior engineers who want to apply Python to optical modeling. No prior experience with optical simulation software is required, though a basic familiarity with Python variables and matrix multiplication is helpful. Start building your own computational optics models today.