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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 25, Iss. 4 — Apr. 1, 2008
  • pp: 609–613

Differential multiply subtractive Kramers–Kronig relations

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


JOSA B, Vol. 25, Issue 4, pp. 609-613 (2008)
http://dx.doi.org/10.1364/JOSAB.25.000609


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Abstract

We apply the multiply subtractive Kramers–Kronig (MSKK) method to the derivative of a medium’s optical transfer function. That is, the phase “difference” or derivative Δ θ (instead of the phase) can be evaluated from the measurements of the relative derivative of the intensity Δ ln [ I ( ω ) ] = Δ I ( ω ) I ( ω ) with the aid of a few Δ θ measurements. As a result, we obtain a method that integrates two different techniques, MSKK and spectral ballistic imaging. We show that the transfer function can be evaluated with great accuracy without the need to measure the phases at all but rather its derivative, which is a much simpler process.

© 2008 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(100.5070) Image processing : Phase retrieval
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Imaging Systems

History
Original Manuscript: December 6, 2007
Manuscript Accepted: January 6, 2008
Published: March 27, 2008

Citation
Er'el Granot, Yossi Ben-Aderet, and Shmuel Sternklar, "Differential multiply subtractive Kramers-Kronig relations," J. Opt. Soc. Am. B 25, 609-613 (2008)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-25-4-609

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