Conference proceeding
Direct methods for freeform surface design
Proceedings of SPIE, v 6668(1), pp 666802-6668010
13 Sep 2007
Abstract
Optical design in the 19th century was largely empirical, and today design in the geometric realm is often performed by optimizing a cost function which is defined via ray tracing. A natural question to ask then, is how to perform optical design using a more direct method, such as solving partial differential equations or variational problems. We consider the problem of writing down equations to model a single surface (mirror or lens) to completely control a single bundle of rays. When this is done, with high probability the solution surface will not be rotationally symmetric, but freeform. Although a bundle may not be completely controllable with a single surface, approximate solution can be sometimes have applications. In particular, we will show how to compute the shape of a driver-side mirror that has no blind-spot or distortion.
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Details
- Title
- Direct methods for freeform surface design
- Creators
- R. Andrew Hicks - Drexel University
- Publication Details
- Proceedings of SPIE, v 6668(1), pp 666802-6668010
- Conference
- Novel Optical Systems Design and Optimization X, 10th
- Publisher
- Society of Photo-Optical Instrumentation Engineers (SPIE)
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000253370700001
- Scopus ID
- 2-s2.0-42149179848
- Other Identifier
- 991019318939404721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Education, Scientific Disciplines
- Imaging Science & Photographic Technology
- Optics