Propagating Particles through Inhomogeneous Scalar Fields

G. Reis and M. Bertram (Germany)


particle tracing, ultrasound, simulation, refraction


We present a numerical integration scheme for the propa gation of particles/rays within continuous, inhomogeneous media, represented as discrete scalar fields. Our method aims at the calculation of energy distribution, where the ini tial energy is evenly distributed over a large number of par ticles, which are traced through the medium. While travers ing the particles interact with the medium by means of ab sorption, reflection and refraction. To calculate these paths, we construct a numerical integration formula based on re fraction and reflection laws given for rigid material bound aries. Numerical examples show that our method correctly traces particles/rays within e.g. curved optical fibers with a circular cross-section density.

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