Polaris-M is an optical design and polarization analysis software developed by Airy Optics, Inc., integrating ray tracing-based optical design methods with polarization calculus, 3D simulation, anisotropic materials, diffractive optic simulation, stress birefringence, and diffraction theory. Developed over a decade at the University of Arizona's Polarization Laboratory and licensed to Airy Optics in 2016, it includes over 500 functions for ray tracing, aberration calculation, polarization elements, stress birefringence, diffractive optical elements, polarization ray tracing calculus, and liquid crystal cells and optical elements. Polaris-M requires Mathematica, providing a powerful macro language for optical design and a deep set of algorithms for graphics, computer algebra, interpolation, neural networks, and numerical analysis. The software features comprehensive documentation with active help pages accessible via the F1 key, offering explanations, inputs, outputs, and live examples.