Compact Collimator Modeling Using Spline Functions

Gary Wiese; J. Donald Lee

doi:10.1117/12.940214

10 June 1987 Compact Collimator Modeling Using Spline Functions

Gary Wiese, J. Donald Lee

Author Affiliations +

Proceedings Volume 0766, Recent Trends in Optical Systems Design and Computer Lens Design Workshop; (1987) https://doi.org/10.1117/12.940214
Event: OE LASE'87 and EO Imaging Symposium, 1987, Los Angeles, CA, United States

Abstract

A technique is described for accurately modeling a class of two-mirror aplanatic systems on the commercial ACCOSV program. The differential equations that define the mirror profiles are solved numerically. For each surface, an approximate representation in terms of vertex radii, aspheric coefficients, and axial separation is then obtained by matching a polynomial exactly to the surface at discrete points. The residual difference between the polynomial and the true surface is then computed at several points. These differences are input as spline function values. The superposition of polynomial and spline function gives a close approximation to the true surface. This process is embodied in a computer program that performs the required computations and writes a lens input file for ACCOSV.

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Gary Wiese and J. Donald Lee "Compact Collimator Modeling Using Spline Functions", Proc. SPIE 0766, Recent Trends in Optical Systems Design and Computer Lens Design Workshop, (10 June 1987); doi: 10.1117/12.940214; https://doi.org/10.1117/12.940214

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