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Efficient ray-tracing procedure for radio wave propagation modeling using homogeneous geometric algebra
Published in Electromagnetics, 2020
Ahmad H. Eid, Heba Y. Soliman, Sherif M. Abuelenin
The work provided here is an initial proof of concept to the potential of combining GA and generative programming in practical RT applications. Many future improvements to the RT procedure we presented are possible. For example, blades in other kinds of GAs can seamlessly represent more complex 2D and 3D primitives like spheres and quadrics (Easter and Hitzer 2018; Hitzer 2019). Another possibility is to develop the algorithm to handle beam and cone tracing on flat surfaces (Nidd, Mann, and Black 1997; Schmitz et al. 2009) using HGA formulation of SDs. The use of GA-based generative programming tools like GMac would then be essential to creating efficient implementations from GA formulations. Highly-performant RT implementations based on GPU parallel hardware acceleration are also possible using this approach.