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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 27, Iss. 2 — Feb. 1, 2010
  • pp: 354–357

Efficient impulse response reconstruction from the amplitude spectrum

Er’el Granot, Shmuel Sternklar, and Yossi Ben-Aderet  »View Author Affiliations

JOSA B, Vol. 27, Issue 2, pp. 354-357 (2010)

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We suggest adopting an efficient digital signal processing algorithm, which includes several fast Fourier transforms, to efficiently reconstruct the impulse response of a diffusive medium from its amplitude spectrum. It is also demonstrated that the singularities, which appear in the phase spectrum reconstruction, can be easily eliminated through the implementation of at least two types of data padding.

© 2010 Optical Society of America

OCIS Codes
(070.4790) Fourier optics and signal processing : Spectrum analysis
(290.4210) Scattering : Multiple scattering
(300.6300) Spectroscopy : Spectroscopy, Fourier transforms

ToC Category:

Original Manuscript: October 7, 2009
Manuscript Accepted: November 19, 2009
Published: January 29, 2010

Er'el Granot, Shmuel Sternklar, and Yossi Ben-Aderet, "Efficient impulse response reconstruction from the amplitude spectrum," J. Opt. Soc. Am. B 27, 354-357 (2010)

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  1. R. Kronig, “On the theory of dispersion of X-rays',” J. Opt. Soc. Am. 12, 547 (1926). [CrossRef]
  2. H. A. Kramers, Estratto dagli Atti del Congresso Internazionale di Fisici Como (Nicolo Zonichello, 1927).
  3. V. Lucarini, J. J. Saarinen, K.-E. Peiponen, and E. M. Vartiainen, Kramers-Kronig Relations in Optical Materials Research (Springer-Verlag, 2005).
  4. E. Granot and S. Sternklar, “Reconstructing the impulse response of a diffusive medium with the Kramers-Kronig relations,” J. Opt. Soc. Am. B 24, 1620-1626 (2007). [CrossRef]
  5. Y. Ben-Aderet, E. Granot, S. Sternklar, and N. S. Kopeika, “Spectral analysis of a one-dimensional scattering medium with the differential multiply subtractive Kramers-Kronig method,” J. Opt. Soc. Am. B 26, 125-128 (2009). [CrossRef]
  6. E. Granot and S. Sternklar, “Spectral ballistic imaging: a novel technique for viewing through turbid or obstructing media,” J. Opt. Soc. Am. A 20, 1595-1599 (2003). [CrossRef]
  7. E. Granot, S. Sternklar, D. Schermann, Y. Ben-Aderet, and M. H. Itzhaq, “200 femtosecond impulse response of a Fabry-Perot etalon with the spectral ballistic imaging technique,” Appl. Phys. B: Photophys. Laser Chem. 82, 359-362 (2006). [CrossRef]
  8. E. Granot, S. Sternklar, Y. Ben-Aderet, and D. Schermann, “Quasi-ballistic imaging through a dynamic scattering medium with optical-field averaging using spectral-ballistic-imaging,” Opt. Express 14, 8598-8603 (2006). [CrossRef] [PubMed]
  9. A. F. Fercher, W. Drexler, C. K. Hitzenberger, and T. Lasser, “Optical coherence tomography--principles and applications,” Rep. Prog. Phys. 66, 239-303 (2003). [CrossRef]
  10. A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-Time Signal Processing (Prentice-Hall, 1999).
  11. C. W. Peterson and B. W. Knight, “Causality calculations in the time domain: An efficient alternative to the Kramers-Kronig method,” J. Opt. Soc. Am. 63, 1238 (1973). [CrossRef]
  12. L. Wang, P. P. Ho, F. Liu, G. Zhang, and R. R. Alfano, “Ballistic 2-D imaging through scattering walls using an ultrafast optical Kerr gate,” Science 253, 769-771 (1991). [CrossRef] [PubMed]
  13. L. Wang, X. Liang, P. Galland, P. P. Ho, and R. R. Alfano, “True scattering coefficients of turbid matter measured by early-time gating,” Opt. Lett. 20, 913-915 (1995). [CrossRef] [PubMed]

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