Inverted Sugar: Generalized Ray Tracing Algorithm

Abstract

Though particular algorithms utilizing Snell’s Law effectively describe most ray tracing, issues arise with infrasound applications, particularly in understanding waveguides. A more generalized differential equation derived from Fermat’s principle of least time and general functions may provide a computational solution to coupling ray tracing with wavelength related issues. However, due to its complexity, this differential equation deserves its own experimentation to confirm or deny its effectiveness. In this experiment, a gradient of index of refraction established by the diffusion of sugar emulated an atmospheric temperature inversion (hence “Inverted Sugar”) and comparison of actual rays to computer generated rays in the same gradient confirmed the accuracy of this algorithm.