Abstract

A method of ray tracing for free-form optical surfaces has been developed. The ray tracing through such surfaces is based on Delaunay triangulation of the discrete data of the surface and is related to finite-element modeling. Some numerical examples of applications to analytical, noisy, and experimental free-form surfaces (in particular, a corneal topography map) are presented. Ray-tracing results (i.e., spot diagram root-mean-square error) with the new method are in agreement with those obtained using a modal fitting of the surface, for sampling densities higher than 40×40 elements. The method competes in flexibility, simplicity, and computing times with standard methods for surface fitting and ray tracing.

© 2009 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Three-dimensional ray-tracing model for the study of advanced refractive errors in keratoconus

Staffan Schedin, Per Hallberg, and Anders Behndig
Appl. Opt. 55(3) 507-514 (2016)

B-spline representation of optical surfaces and its accuracy in a ray trace algorithm

Philipp Jester, Christoph Menke, and Karsten Urban
Appl. Opt. 50(6) 822-828 (2011)

Optical performance simulation of free-form optics for an eye implant based on a measurement data enhanced model

Ingo Sieber, Likai Li, Ulrich Gengenbach, Erik Beckert, Ralf Steinkopf, and Allen Y. Yi
Appl. Opt. 55(24) 6671-6679 (2016)

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

Figures (8)

You do not have subscription access to this journal. Figure files 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

Tables (1)

You do not have subscription access to this journal. Article tables 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

Equations (10)

You do not have subscription access to this journal. Equations 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

Metrics

You do not have subscription access to this journal. Article level metrics 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