https://doi.org/10.1051/epjconf/202226602005
A discontinuous Galerkin method to solve Liouville’s equation of geometrical optics
1 Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, the Netherlands
2 Signify, High Tech Campus 7, 5656 AE, Eindhoven, the Netherlands
* e-mail: r.a.m.v.gestel@tue.nl
Published online: 13 October 2022
We present an alternative method to ray tracing that is based on a phase space description of light propagation. Liouville’s equation of geometrical optics describes the evolution of the basic luminance on phase space. At an optical interface, the laws of optics describe non-local boundary conditions for the basic luminance. A discontinuous Galerkin method is employed to solve Liouville’s equation for a dielectric total internal reflection concentrator.
© The Authors, published by EDP Sciences
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