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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 28, Iss. 4 — Apr. 1, 2011
  • pp: 637–648

Information-theoretic approach to Fourier transform spectrometry

Alessandro Barducci  »View Author Affiliations


JOSA B, Vol. 28, Issue 4, pp. 637-648 (2011)
http://dx.doi.org/10.1364/JOSAB.28.000637


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Abstract

We describe a specific bandpass sampling procedure that provides high efficiency for interferogram sampling. This new approach is able to mitigate the important radiometric and noise disadvantages of Fourier transform spectrometry that recent theoretical investigations have pointed out. Proof of concept is given using simulations and measurements performed with a Sagnac triangular interferometer. Adopting an information-theoretic approach to spectrometry, we demonstrate the existence of important limitations to the radiometric efficiency achieved by any interferential or dispersive multiplex spectrometers. We find an extension to optics of the well-known data processing inequality, confirming that the Fellgett (multiplex) advantage is an inappropriate expectation. We give evidence of radiometric disadvantages implicit in the coded aperture architecture typical of compressive sensing.

© 2011 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(300.6190) Spectroscopy : Spectrometers
(300.6300) Spectroscopy : Spectroscopy, Fourier transforms
(110.3055) Imaging systems : Information theoretical analysis

ToC Category:
Spectroscopy

History
Original Manuscript: September 14, 2010
Revised Manuscript: December 28, 2010
Manuscript Accepted: December 28, 2010
Published: March 8, 2011

Citation
Alessandro Barducci, "Information-theoretic approach to Fourier transform spectrometry," J. Opt. Soc. Am. B 28, 637-648 (2011)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-28-4-637

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