Polaris-M is an advanced software for optical design and polarization analysis, created by Airy Optics, Inc., that seamlessly merges ray tracing techniques with polarization mathematics, enabling 3D simulations, handling of anisotropic materials, and diffractive optics. This software, which has its roots in over ten years of research at the University of Arizona's Polarization Laboratory before being licensed to Airy Optics in 2016, boasts a vast library of more than 500 functions tailored for various optical tasks, including ray tracing, aberration evaluation, and the manipulation of polarizing elements and diffractive optics. To run Polaris-M, users must have Mathematica, which provides an extensive macro language and robust algorithms for tasks such as graphics rendering, computer algebra, interpolation, neural network functions, and numerical analysis. Comprehensive documentation accompanies the software, featuring accessible help pages that can be activated with the F1 key, guiding users through explanations, inputs, outputs, and practical examples. The user experience is further enhanced by this rich repository of resources, ensuring that users can effectively navigate and utilize the software's extensive capabilities.