Abstract

A new optical implementation of the Radon–Wigner display for one-dimensional objects is presented, making use of the fractional Fourier transform approach. The proposed setup makes use of only two conventional refractive elements: a cylindrical lens and a varifocal lens. Although the exact magnifications cannot be achieved simultaneously for all the fractional transforms, an optimum design can be obtained through balancing the conflicting magnification requirements. Experimental results are obtained with a commercially available progressive addition lens. For comparison, computer simulations are also provided.

© 1997 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Optical implementations of the Radon–Wigner display for one-dimensional signals

Yan Zhang, Ben-Yuan Gu, Bi-Zhen Dong, and Guo-Zhen Yang
Opt. Lett. 23(14) 1126-1128 (1998)

Optical illustration of a varied fractional Fourier-transform order and the Radon–Wigner display

David Mendlovic, Rainer G. Dorsch, Adolf W. Lohmann, Zeev Zalevsky, and Carlos Ferreira
Appl. Opt. 35(20) 3925-3929 (1996)

White-light optical implementation of the fractional Fourier transform with adjustable order control

Enrique Tajahuerce, Genaro Saavedra, Walter D. Furlan, Enrique E. Sicre, and Pedro Andrés
Appl. Opt. 39(2) 238-245 (2000)

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

Equations (17)

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