Ray tracing modeling and inversion of light intensity under a water surface

Ray tracing modeling and inversion of light intensity under a water surface

Abdullah Al Theyab

Abstract:

Light propagating in a water-filled pool is perturbed by the water surface, creating patterns on the pool floor. In this report, I use ray tracing to compute an approximation of the light intensity field on the pool floor using point source and exploding surface models. The ultimate goal is to infer the water surface from the intensity field. In a seismic imaging, it is similar to imaging using amplitudes rather than travel-times. I present a geometric approach to invert for a discretized surface from a ray-count representation of the intensity field. With this formulation, the inversion becomes a combinatorial problem, which can be solved using non-deterministic search techniques. The formulation has a large inherent null space. The low cost of the technique allows a large number of iterations to be applied.

Ray tracing modeling and inversion of light intensity under a water surface