Auto-Alignment Of A Three-Mirror Off-Axis Telescope By Reverse Optimization And End-To-End Aberration Measurements

Hwan J. Jeong, George N. Lawrence, Kie B. Nahm

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1987 · 10 citations · 0 references

Concepts

TL;DR

Numerical analysis and simulation of a reverse‑optimization technique using multi‑plane Hartmann measurements were performed to automatically align a three‑mirror off‑axis telescope. The method enables a single‑step correction of all misalignments, and multiple measuring planes increase capture range, convergence speed, and tolerance compared to a single plane.

Abstract

Numerical analysis and simulation of a technique for automatic alignment of a three-mirror off-axis telescope were carried out using a method of reverse optimization and end-to-end measurements. The techniques uses Hartmann measurements made at multiple field points and multiple focus planes. The reverse optimization method uses the Hartmann data as target values in a standard lens design program and damped least squares optimization to determine the state of misalignment of the system. Once the state of misalignment is determined a single step correction of all misalignments is possible in principle. Our results show that multiple measuring planes make possible a larger capture range, faster convergence, and larger measurement tolerances than does a single measurement plane.