This work details the development of an application for fast simulations of the steady state far-field electromagnetic (EM) field strength and power in arbitrary environments. These
environments consist of radiating antennas and solid 3-Dimensional (3D) occluding bodies. The simulation is accomplished using a variation of stochastic ray tracing that uses Monte Carlo integration to solve the light transport equation. The primary variations to the standard algorithm that are proposed here are twofold. First, a grid acceleration structure is used to reduce the number of computationally expensive ray-triangle intersection tests that need to be performed. The grid is chosen over other acceleration structures, as the requirement to compute field strength within a volume necessitates stepping the rays through the space regardless of whether the grid is used or not. The second variation is the implementation of diffraction. Existing ray tracers neglect diffraction as they typically deal with light of optical frequencies above 400 THz, where the amount of diffracted light around any large-scale object is negligible. As this application must handle much lower frequencies to simulate radio interactions, diffraction is implemented using a novel technique that involves extending the edges of triangles by constant width “diffraction margins” and allowing rays that hit the margins to bend inward probabilistically according to the Heisenberg momenta uncertainty associated with the new information about the position of the ray’s associated “photon bundle” due to its closeness to the
surface.Master of Science in EngineeringComputer Engineering, College of Engineering & Computer ScienceUniversity of Michigan-Dearbornhttp://deepblue.lib.umich.edu/bitstream/2027.42/156108/1/Timothy Kleinow Final Thesis.pdfDescription of Timothy Kleinow Final Thesis.pdf : Thesi
