A note on flows towards reflectors

Oliver Schnürer
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Submission date: 25. Sep. 2001
Pages: 16
MSC-Numbers: 35K15, 35K20, 49Q10, 58J35, 78A05
Keywords and phrases: antenna, geometric optics, parabolic monge-ampére equation, 2nd boundary value problem
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Abstract:
A classical problem in geometric optics is to find surfaces that reflect light from a given light source such that a prescribed intensity on a target is realized. We introduce a flow equation for surfaces such that they converge to solutions of this reflector problem both for closed hypersurfaces and for the illumination of prescribed domains.