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Explore advanced techniques for analyzing complex optical systems in this 24-minute conference talk from Wolfram. Discover how Airy Optics Inc. utilizes interactive Mathematica features to conduct real-time analysis of cutting-edge imaging systems, particularly for augmented and virtual reality optics design. Learn about Polaris-M, a pioneering software developed in Mathematica for analyzing polarization-based image quality losses. Examine functions and displays that leverage Mathematica's interactive capabilities to present complex concepts and data in an accessible manner. Gain insights into custom-built frameworks for improved data visualization, dynamic interactivity for analyzing high-dimensional polarization data, and interactive teaching tools for optical engineering students. Understand how these innovative approaches contribute to faster analysis and visually engaging presentations, driving the development of next-generation AR/VR headsets and other exciting applications in the field of optics.