Abstract

The synthesis of three-dimensional (3-D) light distributions is important for many applications. For example, in scanning applications it is preferable that the scanning beam preserve its characteristics over a large distance to yield elongated scanning range. It is evident that any 3-D light distribution must satisfy the wave equation or, in second-order approximation, the Fresnel diffraction formula. Thus many desirable 3-D light distributions may not be realizable. We propose a single optical element (OE) that synthesizes a physical beam within a certain 3-D region. The OE provides the optimal physical beam in comparison with a desired one in the sense of minimal mean-square error.

© 2000 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Three-dimensional object recognition by use of digital holography

Bahram Javidi and Enrique Tajahuerce
Opt. Lett. 25(9) 610-612 (2000)

Holographic three-dimensional display synthesized from three-dimensional Fourier spectra of real existing objects

Yusuke Sando, Masahide Itoh, and Toyohiko Yatagai
Opt. Lett. 28(24) 2518-2520 (2003)

Sampling expansions for three-dimensional light amplitude distribution in the vicinity of an axial image point: comment

Marek Kowalczyk, Tomasz Cichocki, Manuel Martı́nez-Corral, and Laura Muñoz-Escrivá
J. Opt. Soc. Am. A 20(12) 2390-2392 (2003)

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 (6)

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 (13)

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