Advanced matrix-based algorithm for ion-beam milling of optical components

Charles L. Carnal, Charles M. Egert, Kathy W. Hylton

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

102 Scopus citations

Abstract

Control of an ion beam for milling optical surfaces is a nontrivial problem in two-dimensional deconvolution. The ion milling operation is performed by moving an ion beam gun through a grid of points over the surface of an optical workpiece. The control problem is to determine the amount of time to dwell at each point in the grid to obtain a desired surface profile. This research treats the problem in linear algebra terms. The required dwell times are the solutions to a large, sparse system of linear equations. Traditional factorization methods such as Gaussian elimination cannot be used because the linear equations are severely ill conditioned. Theoretically, a least-squares solution to this problem exists. Practical approaches to finding a minimal least-squares solution are discussed.

Original languageEnglish
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
PublisherPubl by Int Soc for Optical Engineering
Pages54-62
Number of pages9
ISBN (Print)0819409251
StatePublished - 1992
Externally publishedYes
EventCurrent Developments in Optical Design and Optical Engineering II - San Diego, CA, USA
Duration: Jul 20 1992Jul 21 1992

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume1752
ISSN (Print)0277-786X

Conference

ConferenceCurrent Developments in Optical Design and Optical Engineering II
CitySan Diego, CA, USA
Period07/20/9207/21/92

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