RIACA Technical Report No. 7

Computer Algebra Derivation of High-Order Optical Aberration Coefficients

Florian Bociort (bociort@ifa.ro)

February 1995


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.

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Last Update: June 24, 1997.