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Proceedings Paper

Lie algebraic treatment of optical systems in higher aberration orders
Author(s): Guilin Ding; Wanlin Wang; Feng Zhao; Jun Zhou; Hongbing Yao
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Paper Abstract

Using the technique of Lie operator algebra, we present a recursive formulation for calculating the third and fifth order aberrations of a general optical system and express the third and fifth order aberration coefficients in the 7×7 and 12×12 matrix forms, respectively. One advantage of our formulae is their explicit algebraic expressions suitable for practical application and numerical calculations, another is that the formulae provide a formulation of the matrix method for general nonlinear transformation and the generalized matrix method employing Lie algebraic tools proposes a new view for aberration optics computation. With the method it should be possible to evaluate all the aberration terms for any optical system. Applications of the matrix method are illustrated with thick lens and some well known imaging systems.

Paper Details

Date Published: 1 February 2006
PDF: 7 pages
Proc. SPIE 6034, ICO20: Optical Design and Fabrication, 60340Z (1 February 2006); doi: 10.1117/12.668119
Show Author Affiliations
Guilin Ding, Jiangsu Univ. (China)
Wanlin Wang, Jiangsu Univ. (China)
Feng Zhao, Jiangsu Univ. (China)
Jun Zhou, Jiangsu Univ. (China)
Hongbing Yao, Jiangsu Univ. (China)

Published in SPIE Proceedings Vol. 6034:
ICO20: Optical Design and Fabrication
James Breckinridge; Yongtian Wang, Editor(s)

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