Abstract

This paper discusses questions of how to increase the accuracy of an approximation by Zernike polynomials of the displacements of the points of optical surfaces (OSs) in the direction of the optical axis, associated with the discrimination of displacements of the surface as a rigid whole. It is shown that, when going from displacements of the nodal points of an OS obtained by the finite-element method to their approximation by Zernike polynomials, it is expedient to discriminate beforehand that part of the displacements associated with the components of the displacement of the surface as a rigid whole in a direction perpendicular to the optical axis, and, in the case of nonaxisymmetric surfaces, also in the direction of rotation around the optical axis. Examples are given of the implementation of the proposed procedure.

© 2014 Optical Society of America

PDF Article

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription