RIACA Technical Report No. 7
Computer Algebra Derivation of High-Order Optical
Florian Bociort (firstname.lastname@example.org)
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.
Last Update: June 24, 1997.