On the Theory of Optical Hilbert transform for incoherent objects
Optics Express, Vol. 15, Issue 6, pp. 3006-3011 doi:10.1364/OE.15.003006
» View Full Text: Acrobat PDF (178 KB)
- OCIS Codes:
- (090.0090) Holography : Holography
- (090.1760) Holography : Computer holography
- (100.0100) Image processing : Image processing
- (110.4850) Imaging systems : Optical transfer functions
Fourier Optics and Optical Processing
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
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
» View Full Text: Acrobat PDF (178 KB)
History
Original Manuscript: February 7, 2007
Manuscript Accepted: March 9, 2007
Revised Manuscript: March 8, 2007
Published: March 19, 2007
References
- A. Sagan, S. Nowicki, R. Buczynshi, M. Kowalczyk, and T. Szoplik, "Imaging phase objects with square-root, Foucault, and Hoffman real filters: a comparison," Appl. Opt. 42, 5816-5824 (2003).
- A. W. Lohmann, E. Tepichin, and J. G. Ramirez," Optical implementation of the fractional Hilbert transform for two-dimensional objects," Appl. Opt. 36, 6620-6626 (1997).
- S. Lowenthal and Y. Belvaux, "Observation of phase objects by optically processed Hilbert transform," Appl. Phys. Lett. 11, 49-51 (1967). [CrossRef]
- R. Gale Wilson, "Wavefront-error evaluation by mathematical analysis of experimental Foucault-test data," Appl. Opt. 14,2286-2297 (1975).
- T.-C. Poon and A. Korpel, "Optical transfer function of an acousto-optic heterodyning image processor," Opt. Lett. 4, 317-319 (1979).
- T.-C. Poon, "Scanning holography and two-dimensional image processing by acousto-optic two-pupil synthesis," J. Opt. Soc. Am. 2, 521-527 (1985).
- T.-C. Poon and T. Kim, Engineering Optics with MATLAB, (World Scientific, 2006).
- T.-C. Poon and T. Kim, "Optical image recognition of three-dimensional objects," Appl. Opt. 38, 370-381(1999).
Author Affiliations
Hankuk Aviation University, Korea
Virginia Tech
Cited By
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.
- Jan 14 2010 : OSA wins SPARC Innovator award for Optics Express. Read the press release.
- Jan 14 2010 : The Journal of the Optical Society of Korea is now available in the Optics InfoBase!
- Jan 08 2010 : Optics InfoBase now supports export to Mendeley. Learn more about Mendeley for online citation management and sharing.
- Journal of the Optical Society of Korea Added to OSA’s Optics InfoBase
Feb 1, 2010 - The Optical Society (OSA) is pleased to announce that Optics... more - OSA to Launch New Journal: Biomedical Optics Express
Jan 20, 2010 - The Optical Society (OSA) today announced it is launching a new... more - Invisibility Visualized
Nov 12, 2009 - Scientists and curiosity seekers who want to know what a partially or... more




OSA is a member of 

