MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

A note on flows towards reflectors

Oliver Schnürer


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.

MSC Codes:
35K15, 35K20, 49Q10, 58J35, 78A05
antenna, geometric optics, parabolic monge-ampére equation, 2nd boundary value problem

Related publications

2001 Repository Open Access
Oliver C. Schnürer

A note on flows towards reflectors