Supporting quadric method for collimated beams
We consider the problem of calculating a refractive element with two surfaces, forming a flat front and a given distribution of illumination. The supporting quadrics method is formulated for calculating a given optical element and it is shown that this method coincides with the gradient method for s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Samara National Research University
2021-02-01
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| Series: | Компьютерная оптика |
| Subjects: | |
| Online Access: | http://computeroptics.ru/KO/PDF/KO45-1/450104.pdf |
| Summary: | We consider the problem of calculating a refractive element with two surfaces, forming a flat front and a given distribution of illumination. The supporting quadrics method is formulated for calculating a given optical element and it is shown that this method coincides with the gradient method for some functional related to the problem of the Monge-Kantorovich mass transfer problem. This enables adaptive selection of the step in the supporting quadric method. At the end of the article a design example is given. |
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| ISSN: | 0134-2452 2412-6179 |