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Proceedings Paper • Open Access

Using matrices to understand geometrical optics
Author(s): Jose B. Almeida

Paper Abstract

The optimization of an optical system benefits greatly from a study of its aberrations and an identification of each of its elements' contribution to the overall aberration figures. The matrix formalism developed by one of the authors was the object of a previous paper and allows the expression of image-space coordinates as high-order polynomials of object-space coordinates. In this paper we approach the question of aberrations, both through the evaluation of the wavefront evolution along the system and its departure from the ideal spherical shape and the use of ray density plots. Using seventh-order matrix modeling, we can calculate the optical path between any two points of a ray as it travels along the optical system and we define the wavefront as the locus of the points with any given optical path; the results are presented on the form of traces of the wavefront on the tangential plane, although the formalism would also permit sagittal plane plots. Ray density plots are obtained by actual derivation of the seventh-order polynomials.

Paper Details

Date Published: 16 June 2000
PDF: 8 pages
Proc. SPIE 3831, Sixth International Conference on Education and Training in Optics and Photonics, (16 June 2000); doi: 10.1117/12.388749
Show Author Affiliations
Jose B. Almeida, Univ. do Minho (Portugal)


Published in SPIE Proceedings Vol. 3831:
Sixth International Conference on Education and Training in Optics and Photonics
Jose Javier Sanchez-Mondragon, Editor(s)

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