A new approach to characterising aspheric surfaces

Sun, W., McBride, J.W. and Hill, M. (2010) A new approach to characterising aspheric surfaces Precision Engineering, 34, (1), pp. 171-179. (doi:10.1016/j.precisioneng.2009.05.005).


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In this paper, a new approach to fitting aspheric surfaces in three-dimensional space is proposed, based on the nonlinear least-squares algorithm. The method is superior to conventional solutions as all the surface parameters can be estimated simultaneously based on the design equation, thus allowing the result to be directly compared to design parameters. Conventionally, aspheric surfaces can be fitted with simplified surface models, such as a second order surface or polynomial model. Using this approach the estimated parameters cannot be compared with the design values, breaking the link between the designed and measured surface. The new method is developed here and tested on computer simulated aspheric surfaces. Both ideal surfaces and surfaces with random irregularities are considered. Issues regarding the application of the fitting method to real measured surfaces are discussed.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.precisioneng.2009.05.005
ISSNs: 0141-6359 (print)
Keywords: aspheric surfaces, fitting algorithm, nonlinear least-squares
ePrint ID: 51013
Date :
Date Event
February 2008Submitted
January 2010Published
Date Deposited: 30 Apr 2008
Last Modified: 16 Apr 2017 18:07
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/51013

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