Generation of off-axis aspherics

J. R.P. Angel; R. E. Parks

doi:10.1117/12.933536

Generation of off-axis aspherics

J. R.P. Angel, R. E. Parks

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

A method of precise generation of optical surfaces is described. The work is turned about one axis, while a grinding head or cutting tool is gradually moved across by an arm turning about a second axis. This geometry can be used to directly generate spherical surfaces or aspherical surfaces that we call hulahoids. We analyze the properties of these surfaces to determine how well large paraboloids and their off-axis segments can be generated. Very close approximations are possible, for example, 1.5-m segments of a 10-m paraboloid differ by only 0.6 μm peak to peak from the best fit hulahoid when the focal ratio is f/2, and 60 μm when it is f/0.4. For accurate generation the cutting tool may need numerically controlled travel of 1 mm or less, with the position set as a function of the swirlg arm angle.

Original language	English (US)
Pages (from-to)	316-326
Number of pages	11
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	332
DOIs	https://doi.org/10.1117/12.933536
State	Published - Nov 4 1982

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

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title = "Generation of off-axis aspherics",

abstract = "A method of precise generation of optical surfaces is described. The work is turned about one axis, while a grinding head or cutting tool is gradually moved across by an arm turning about a second axis. This geometry can be used to directly generate spherical surfaces or aspherical surfaces that we call hulahoids. We analyze the properties of these surfaces to determine how well large paraboloids and their off-axis segments can be generated. Very close approximations are possible, for example, 1.5-m segments of a 10-m paraboloid differ by only 0.6 μm peak to peak from the best fit hulahoid when the focal ratio is f/2, and 60 μm when it is f/0.4. For accurate generation the cutting tool may need numerically controlled travel of 1 mm or less, with the position set as a function of the swirlg arm angle.",

author = "Angel, {J. R.P.} and Parks, {R. E.}",

note = "Funding Information: This work was partially funded by NASA under grant number NAGW-121 and a grant from the Office of the Vice President for Research at the University of Arizona.",

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T1 - Generation of off-axis aspherics

AU - Angel, J. R.P.

AU - Parks, R. E.

N1 - Funding Information: This work was partially funded by NASA under grant number NAGW-121 and a grant from the Office of the Vice President for Research at the University of Arizona.

PY - 1982/11/4

Y1 - 1982/11/4

N2 - A method of precise generation of optical surfaces is described. The work is turned about one axis, while a grinding head or cutting tool is gradually moved across by an arm turning about a second axis. This geometry can be used to directly generate spherical surfaces or aspherical surfaces that we call hulahoids. We analyze the properties of these surfaces to determine how well large paraboloids and their off-axis segments can be generated. Very close approximations are possible, for example, 1.5-m segments of a 10-m paraboloid differ by only 0.6 μm peak to peak from the best fit hulahoid when the focal ratio is f/2, and 60 μm when it is f/0.4. For accurate generation the cutting tool may need numerically controlled travel of 1 mm or less, with the position set as a function of the swirlg arm angle.

AB - A method of precise generation of optical surfaces is described. The work is turned about one axis, while a grinding head or cutting tool is gradually moved across by an arm turning about a second axis. This geometry can be used to directly generate spherical surfaces or aspherical surfaces that we call hulahoids. We analyze the properties of these surfaces to determine how well large paraboloids and their off-axis segments can be generated. Very close approximations are possible, for example, 1.5-m segments of a 10-m paraboloid differ by only 0.6 μm peak to peak from the best fit hulahoid when the focal ratio is f/2, and 60 μm when it is f/0.4. For accurate generation the cutting tool may need numerically controlled travel of 1 mm or less, with the position set as a function of the swirlg arm angle.

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Generation of off-axis aspherics

Abstract

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