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Optics Letters

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  • Vol. 36, Iss. 8 — Apr. 15, 2011
  • pp: 1386–1388

Binary phase filters with a maximally-flat response

Colin J. R. Sheppard  »View Author Affiliations


Optics Letters, Vol. 36, Issue 8, pp. 1386-1388 (2011)
http://dx.doi.org/10.1364/OL.36.001386


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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

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