<b>Computer Algebra Derivation of <BR>High-Order Optical Aberration Coefficients</b>

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Computer Algebra Derivation of
High-Order Optical Aberration Coefficients

Florian Bociortgif
Research Institute for the Applications of Computer Algebra,
Kruislaan 419, 1098 VA Amsterdam, The Netherlands


The use of computer algebra software enables a considerable simplification of the derivation of analytic expressions for the aberration coefficients of optical systems. In this paper, an algorithm for the symbolic computation of the intrinsic and extrinsic contributions of spherical surfaces to the higher-order aberration coefficients is described. This algorithm can be easily implemented in any major computer algebra language. As an example, two Mathematica programs producing the analytic expressions are given. With these programs, all aberration coefficients of third, fifth and seventh order have been obtained.

Eisso Atzema
Fri Mar 24 17:33:02 MET 1995