An energy conservative hp-scheme for light propagation using Liouville’s equation for geometrical optics

In this contribution an alternative method to standard forward ray-tracing is briefly outlined. The method is based on a phase-space description of light propagating through an optical system. The propagation of light rays are governed by Hamilton’s equations. Conservation of energy and étendue for...

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Bibliographic Details
Published in:EPJ Web of conferences 2020, Vol.238, p.2005
Main Authors: van Gestel, Robert A.M., Anthonissen, Martijn J.H., ten Thije Boonkkamp, Jan H.M., IJzerman, Wilbert L.
Format: Article
Language:English
Subjects:
Adaptive systems
Geometrical optics
Light beams
Propagation
Ray tracing
Refractivity
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Summary:In this contribution an alternative method to standard forward ray-tracing is briefly outlined. The method is based on a phase-space description of light propagating through an optical system. The propagation of light rays are governed by Hamilton’s equations. Conservation of energy and étendue for a beam of light, allow us to derive a Liouville’s equation for the energy propagation through an optical system. Liouville’s equation is solved numerically using an hp-adaptive scheme, which for a smooth refractive index field is energy conservative. A proper treatment of optical interfaces ensures that the scheme is energy conservative over the full domain.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/202023802005