|
Binary phase filters with a maximally-flat response |
Optics Letters, Vol. 36, Issue 8, pp. 1386-1388 (2011)
http://dx.doi.org/10.1364/OL.36.001386
Enhanced HTML 
Acrobat PDF (236 KB)
Abstract
We investigate the binary phase filters of finite support that have a Fourier transform magnitude that is the broadest and flattest. We call this behavior maximally flat, after the electrical filters devised by Butterworth. Solutions are obtained by direct algebraic manipulation, and numerical results are given for filters of up to five elements. Their application for increasing depth of focus is described.
© 2011 Optical Society of America
OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction
(070.2590) Fourier optics and signal processing : ABCD transforms
(110.6980) Imaging systems : Transforms
(350.6980) Other areas of optics : Transforms
ToC Category:
Diffraction and Gratings
History
Original Manuscript: February 3, 2011
Revised Manuscript: March 15, 2011
Manuscript Accepted: March 16, 2011
Published: April 11, 2011
Citation
Colin J. R. Sheppard, "Binary phase filters with a maximally-flat response," Opt. Lett. 36, 1386-1388 (2011)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-36-8-1386
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
Log in to access OSA Member Subscription
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
Log in to access OSA Member Subscription
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
Log in to access OSA Member Subscription
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
Log in to access OSA Member Subscription
Related Journal Articles 
- Fast algorithm for chirp transforms with zooming-in ability and its applications (JOSAA)
- Propagation of Laguerre–Gaussian and elegant Laguerre–Gaussian beams in apertured fractional Hankel transform systems (JOSAA)
- Optimal one-dimensional apodizations and shaped pupils for planet finding coronagraphy (AO)
- Three-level filter for increased depth of focus and Bessel beam generation (OE)
- Pupil filters for generation of light sheets (OE)
« Previous Article | Next Article »
OSA is a member of 