Abstract

The Fresnel approximation is used in the design of a lens that turns a beam with one intensity distribution into a beam with a different distribution at the focal plane of a Fourier transform lens. In general, this cannot be done exactly, so one must be satisfied with approximate solutions to this problem. It is shown that the difficulty of this problem depends on a parameter β that is a dimensionless measure of how well the geometrical optics approximation holds. An analytical method is given for determining the lens when β is large. The sensitivity of this solution to various imperfections in the system alignment is also analyzed.

© 1996 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Smallest flattop focus by polarization engineering

Bing Hao, Jordan Burch, and James Leger
Appl. Opt. 47(16) 2931-2940 (2008)

Gaussian to uniform intensity shaper based on generalized phase contrast

Darwin Palima and Jesper Glückstad
Opt. Express 16(3) 1507-1516 (2008)

Comparison of phase-aberrated laser beam quality criteria

Eugeny Perevezentsev, Anatoly Poteomkin, and Efim Khazanov
Appl. Opt. 46(5) 774-784 (2007)

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 (2)

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 (100)

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