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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 6 — Mar. 19, 2007
  • pp: 3006–3011

On the Theory of Optical Hilbert transform for incoherent objects

T.-C. Poon and K. B. Doh  »View Author Affiliations


Optics Express, Vol. 15, Issue 6, pp. 3006-3011 (2007)
http://dx.doi.org/10.1364/OE.15.003006


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Abstract

The Hilbert transform as been investigated abundantly in coherent imaging. To the best of our knowledge, it is for the first time investigated in the context of incoherent imaging. We present a two-pupil optical heterodyne scanning system and analyze mathematically the design of its two pupils such that the optical system can perform the Hilbert transform on incoherent objects. Computer simulations of the idea clarify the theoretical results.

© 2007 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(090.1760) Holography : Computer holography
(100.0100) Image processing : Image processing
(110.4850) Imaging systems : Optical transfer functions

ToC Category:
Fourier Optics and Optical Processing

History
Original Manuscript: February 7, 2007
Revised Manuscript: March 8, 2007
Manuscript Accepted: March 9, 2007
Published: March 19, 2007

Citation
T.-C. Poon and K. B. Doh, "On the Theory of Optical Hilbert transform for incoherent objects," Opt. Express 15, 3006-3011 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-6-3006


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