| Issue |
EPJ Web Conf.
Volume 309, 2024
EOS Annual Meeting (EOSAM 2024)
|
|
|---|---|---|
| Article Number | 03009 | |
| Number of page(s) | 2 | |
| Section | Topical Meeting (TOM) 3- Optical System Design, Tolerancing and Manufacturing | |
| DOI | https://doi.org/10.1051/epjconf/202430903009 | |
| Published online | 31 October 2024 | |
https://doi.org/10.1051/epjconf/202430903009
Differential ray tracing for an efficient computation of the Jacobian in the damped least-squares algorithm
1 Carl Zeiss AG, 73446 Oberkochen, Germany
2 Institute of Numerical Mathematics, Ulm University, 89081 Ulm, Germany
* e-mail: tobias.seger@zeiss.com
Published online: 31 October 2024
We present a framework for the optimization of optical systems based up on the damped least-squares method and differential ray tracing. First, a mathematical description for the differentiation of the ray-surface intersection is introduced. It is observed that the structure of the optimization variables and operands can be exploited such that the Jacobian for the damped least-squares algorithm can be computed in the same computational complexity as the primal ray tracing for both forward and reverse mode algorithmic differentiation. To demonstrate the advantages of the method a freeform mirror system is analyzed.
© The Authors, published by EDP Sciences, 2024
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