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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 34 — Dec. 1, 2007
  • pp: 8244–8249

Spectrally variable two-beam coupling nonlinear deconvolution

Bahareh Haji-Saeed, Sandip K. Sengupta, William D. Goodhue, Jed Khoury, Charles L. Woods, and John Kierstead  »View Author Affiliations


Applied Optics, Vol. 46, Issue 34, pp. 8244-8249 (2007)
http://dx.doi.org/10.1364/AO.46.008244


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Abstract

In previous work, we introduced a dynamic range compression-based technique for image correction using nonlinear deconvolution; the impulse response of the distortion function and the distorted image are jointly transformed to pump a clean reference beam in a photorefractive two-beam coupling arrangement. The Fourier transform of the pumped reference beam contains the deconvolved image and its conjugate. Here we extend our work to spectrally variable dynamic range compression. This approach allows the retrieval of distorted signals embedded in a very high noise environment and does not require one to work with a very high beam ratio as in our previous work. Resolution recovery of blurred noisy images is demonstrated for several different types of image blur.

© 2007 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.4340) Fourier optics and signal processing : Nonlinear optical signal processing
(100.3020) Image processing : Image reconstruction-restoration

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: June 2, 2006
Revised Manuscript: December 4, 2006
Manuscript Accepted: January 18, 2007
Published: November 26, 2007

Citation
Bahareh Haji-Saeed, Sandip K. Sengupta, William D. Goodhue, Jed Khoury, Charles L. Woods, and John Kierstead, "Spectrally variable two-beam coupling nonlinear deconvolution," Appl. Opt. 46, 8244-8249 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-34-8244


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References

  1. M. Schwartz, W. Bennet, and S. Stein, Communication Systems and Techniques (McGraw-Hill, 1966), Chap. 4, pp. 213-216; Chap. 6, p. 247.
  2. J. Khoury, M. Cronin Golomb, and Charles L. Woods, "Noise reduction using adaptive spatial filtering in photorefractive two-beam coupling," Opt. Lett. 16, 747-749 (1991). [CrossRef] [PubMed]
  3. J. Khoury, J. Fu, M. Cronin Golomb, and C. Woods, "Quadratic processing and nonlinear optical phase rectification in noise reduction," J. Opt. Soc. Am. B 11, 1960-1971 (1994). [CrossRef]
  4. J. Khoury, M. Cronin Golomb, P. Gianino, and C. Woods, "Photorefractive two-beam coupling nonlinear joint transform correlator," J. Opt. Soc. Am. B 11, 2167-2174 (1994). [CrossRef]
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  8. J. Khoury, P. D. Gianino, and C. L. Woods, "Companding nonlinear correlators," Proc. SPIE 5362, 160-177 (2004). [CrossRef]
  9. B. Haji-Saeed, S. K. Sengupta, W. Goodhue, J. Khoury, C. L. Woods, and J. Kierstead, "Nonlinear dynamic range compression deconvolution," Opt. Lett. 31, 1969-1971 (2006). [CrossRef] [PubMed]
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  13. R. C. Gonzalez and R. E. Woods, Digital Image Processing (Prentice-Hall, 2002).
  14. T. Y. Chang, J. H. Hong, F. Vachss, and R. McGraw, "Studies of the dynamic range of photorefractive gratings in ferroelectric crystals," J. Opt. Soc. Am. B 9, 1744-1751 (1992). [CrossRef]
  15. B. Haji-Saeed, D. Pyburn, R. Leon, S. K. Sengupta, W. Goodhue, M. Testorf, J. Kierstead, J. Khoury, and C. L. Woods, "Real-time holographic deconvolution for one-way image transmission through distorting media," Opt. Eng. 43, 1862-1866 (2004). [CrossRef]
  16. W. B. Davenport and W. L. Root, An Introduction to the Theory of Random Signal and Noise (McGraw-Hill, 1958).

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