Theoretical compensation of static deformations of freeform multi mirror substrates
Varying temperatures influence the figure errors of freeform metal mirrors by thermal expansion. Furthermore, different materials lead to thermo-elastic bending effects. The article presents a derivation of a compensation approach for general static loads. Utilizing perturbation theory this approach...
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| Veröffentlicht in: | arXiv.org 2018-05 |
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| creator | Hartung, Johannes Henrik von Lukowicz Kinast, Jan |
| description | Varying temperatures influence the figure errors of freeform metal mirrors by thermal expansion. Furthermore, different materials lead to thermo-elastic bending effects. The article presents a derivation of a compensation approach for general static loads. Utilizing perturbation theory this approach works for shape compensation of substrates which operate in various temperature environments. Verification is made using a finite element analysis which is further used to produce manufacturable CAD models. The remaining low spatial frequency errors are deterministically correctable using diamond turning or polishing techniques. |
| doi_str_mv | 10.48550/arxiv.1805.12036 |
| format | Article |
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Furthermore, different materials lead to thermo-elastic bending effects. The article presents a derivation of a compensation approach for general static loads. Utilizing perturbation theory this approach works for shape compensation of substrates which operate in various temperature environments. Verification is made using a finite element analysis which is further used to produce manufacturable CAD models. 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| subjects | Compensation Deformation Diamond polishing Diamonds Elastic bending Finite element method Metal mirrors Perturbation theory Physics - Applied Physics Physics - Instrumentation and Methods for Astrophysics Static loads Substrates Thermal expansion |
| title | Theoretical compensation of static deformations of freeform multi mirror substrates |
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