Abstract

An interactive optical design tool that is based on multidimensional quadratic extrapolation is described. This technique extends the radius of convergence of the aberration manipulation process, provides strategic information about the correctability of the aberrations at each stage in iteration, and is computationally simple. A quadratic approximation to each of the nonlinearly varying aberrations, which are initially based on one relatively remote linearly predicted point in solution space, allows the step length of this differential improvement method to be extended over that which is possible with local derivative techniques. The basic mathematical method works with an equal number of defects and variables, and to involve all the relevant constructional parameters of an optical system these are grouped or linked together on the basis of an assumption about their combined ability to correct the chosen aberrations. Examples are given.

© 1992 Optical Society of America

Full Article  |  PDF Article
More Like This
Aberration correction method for the catadioptric imaging system design

Zhenjie Liu and Feihong Yu
Appl. Opt. 55(11) 2943-2950 (2016)

Null lens design techniques

David Shafer
Appl. Opt. 31(13) 2184-2187 (1992)

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 (10)

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 (3)

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 (8)

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