For more information about this meeting, contact John Roe, Mari Royer.
| Title: | Designing coupled free form surfaces |
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| Seminar: | Geometry Luncheon Seminar |
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| Speaker: | Chris Croke, U Penn |
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| Abstract: |
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| This is joint work with Andrew Hicks. It is an applied geometric
optics talk aimed at a general mathematical audience.
The problem of designing optical systems that contain free-form
surfaces (i.e. not rotationally symmetric) is a challenging one, even
in the case of designing a single surface. Part of the reason for this
is that solutions do not always exist. Here we present a method for
the coupled design of two free-form reflective surfaces (i.e. mirrors)
which will have a prescribed distortion. One should think for example
of a child's periscope with curved mirrors so as to give a wider field
of view. The method is motivated by viewing the problem in the
language of distributions from differential geometry and makes use of
the Cartan Kaehler theorem from exterior differential systems for
proof of existence. We give example applications to the design of a
mirror pair that increases the field of view of an observer, a similar
mirror pair that also rotate the observers view, and a pair of mirrors
that give the observer a traditional panoramic strip view of the scene. |
Room Reservation Information
| Room Number: | MB114 |
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| Date: | 10 / 12 / 2011 |
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| Time: | 12:20pm - 01:30pm |
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