English

Theoretical compensation of static deformations of freeform multi mirror substrates

Applied Physics 2018-06-06 v1 Instrumentation and Methods for Astrophysics

Abstract

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.

Keywords

Cite

@article{arxiv.1805.12036,
  title  = {Theoretical compensation of static deformations of freeform multi mirror substrates},
  author = {Johannes Hartung and Henrik von Lukowicz and Jan Kinast},
  journal= {arXiv preprint arXiv:1805.12036},
  year   = {2018}
}

Comments

16 pages, published version