Using saddle points for challenging optical design tasks
| Autor: | Paul Urbach, Zhe Hou, Pascal van Grol, Irina Livshits, Yifeng Shao, Maarten van Turnhout, Florian Bociort |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Optical instrument lenses
Design Computer science ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Physics::Optics High Tech Systems & Materials Optical merit functions Wide-angle lens law.invention Special properties Physics & Electronics law Saddle point Global optimization Simulation Lenses OPT - Optics TS - Technical Sciences Industrial Innovation Automatic design Optical design Saddle points Traditional techniques Lens (optics) Maxima and minima Lens designs Development (differential geometry) Pinhole (optics) Electronics Algorithm Local minimums |
| Zdroj: | Mahajan, V.N.Johnson, R.B.Mahajan, V.N.Thibault, S., 9192 |
| Popis: | The present research is part of an effort to develop tools that make the lens design process more systematic. In typical optical design tasks, the presence of many local minima in the optical merit function landscape makes design non-trivial. With the method of Saddle Point Construction (SPC) which was developed recently ([F. Bociort and M. van Turnhout, Opt. Engineering 48, 063001 (2009)]) new local minima are obtained efficiently from known ones by adding and removing lenses in a systematic way. To illustrate how SPC and special properties of the lens design landscape can be used, we will present the step-by-step design of a wide-angle pinhole lens and the automatic design of a 9-lens system which, after further development with traditional techniques, is capable of good performance. We also give an example that shows how to visualize the saddle point that can be constructed at any surface of any design of an imaging system that is a local minimum. |
| Databáze: | OpenAIRE |
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