Abstract

The Luneburg integral has many applications in optics and optoelectronics, among which is determination of the refractive-index profile of a Luneburg lens with a full or nonfull aperture. Consequently, computationally efficient and accurate methods for evaluating this integral represent an important challenge. An alternative approach to numerical evaluation of the Luneburg integral that is five times faster than existing methods is described. Several improvements in the ray-tracing procedure in gradient-index media are also presented. A combination of these methods increases the speed of ray tracing through the generalized Luneburg lens by as many as 2 orders of magnitude compared with earlier algorithms. The precision of our method can be easily controlled.

© 1996 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Improvements in the computation of refractive-index profiles for the generalized Luneburg lens

J. Sochacki, J. R. Flores, R. Staroński, and C. Gómez-Reino
J. Opt. Soc. Am. A 8(8) 1248-1255 (1991)

Exact analytical solution of the generalized Luneburg lens problem

Jacek Sochacki
J. Opt. Soc. Am. 73(6) 789-795 (1983)

Multiple-foci Luneburg lenses

Jacek Sochacki
Appl. Opt. 23(23) 4444-4449 (1984)

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

Equations (16)

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