Abstract

To help in the fabrication of off-axis conic sections, we present a method to approximate this off-axis section by an on-axis conic centered on the portion desired. This method is based on the method of continuum least squares to obtain the vertex’s curvature and conic constant of the fitted conic on-axis, given the curvature at the vertex and the conic constant of the parent conic from where we want the section and the size of that section. Simple analytic expressions for the curvature and conic constant are derived in terms of the parameters of the off-axis section.

© 1986 Optical Society of America

Full Article  |  PDF Article
Related Articles
Comparison between toroidal and conic surfaces that best fit an off-axis conic section

Octavio Cardona-Nuñez, Alejandro Cornejo-Rodriguez, Rufino Diaz-Uribe, Alberto Cordero-Dávila, and Jesús Pedraza-Contreras
Appl. Opt. 26(22) 4832-4834 (1987)

Inclined toroidal surface that fits an off-axis conic section

O. Cardona-Nuñez, A. Cornejo-Rodriguez, A. Cordero-Davila, and J. Pedraza-Contreras
Appl. Opt. 35(19) 3559-3561 (1996)

Conic constant and paraxial radius of curvature measurements for conic surfaces

Rufino Diaz-Uribe and Alejandro Cornejo-Rodriguez
Appl. Opt. 25(20) 3731-3734 (1986)

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 (2)

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

Equations (24)

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