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29 January 1989 Simultaneous Determination Of Misalignment And Mirror Surface Figure Error Of A Three Mirror Off-Axis Telescope By End-To-End Measurements And Reverse Optimization : Numerical Analysis And Simulation
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Abstract
Numerical analysis and simulation of simultaneous determination of misalignment and mirror surface figure error of an optical system (three mirror off-axis telescope) by Hartmann ray measurements and reverse optimization (without using any special auxiliary optical component) were carried out. In the Hartmann method, a laser beam was shone through Hartmann holes into a roughly aligned optical system from several different angles (multiple fields) to separate misalignment of each component (mirror) from the others, and several separated detection planes around focus were used to measure both the relative ray positions and relative ray angles. The measured relative ray positions and relative ray angles were fed into a optical system optimization routine (ACCOS V) as optimization targets. Then, the optimization was set forth starting from the ideal optical system defined in the design prescription to find the final best-fitted optical system to the measured ray data by varying alignment and mirror surface figure variables (tilts and separation of each component and detecting plane and spline function of mirror surface figure). The optical system best-fitting the measured ray data shows misalignment and mirror surface figure error of the optical system under test. The numerical analysis and simulation showed that the combined method of the Hartmann technique using multiple fields and multiple detecting planes and the reverse optimization using both the ray positions and ray angles as optimization targets provides a very reliable (large capture range and no trapping in a local minimum during optimization) and easily realizable (measurement tolerances are quite large) way for the simultaneous determination of misalignment and mirror surface figure error of optical system without using any special auxiliary optical component.
© (1989) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Hwan J Jeong and George N. Lawrence "Simultaneous Determination Of Misalignment And Mirror Surface Figure Error Of A Three Mirror Off-Axis Telescope By End-To-End Measurements And Reverse Optimization : Numerical Analysis And Simulation", Proc. SPIE 0966, Advances in Fabrication and Metrology for Optics and Large Optics, (29 January 1989); https://doi.org/10.1117/12.948081
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