Abstract
We present a unified mathematical framework for sixteen fundamental optical systems. The systems have a parallel or point source and a parallel, point, near-field or far-field target. These choices give eight configurations if we use reflectors only and take the minimum number of freeform surfaces required. Similarly, we get eight lens systems if we only use lens surfaces. The mathematical model for each system is based on Hamilton’s characteristic functions and conservation of luminous flux. Some configurations lead to standard or generalized Monge-Ampère equations. The remaining systems are described by so-called generated Jacobian equations.
Original language | English |
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Pages (from-to) | 31650-31664 |
Number of pages | 15 |
Journal | Optics Express |
Volume | 29 |
Issue number | 20 |
DOIs | |
Publication status | Published - 27 Sept 2021 |
Bibliographical note
Publisher Copyright:© 2021 Optical Society of America under the terms of the OSA Open Access Publishing Agreement.