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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 1 — Jan. 1, 2007
  • pp: 68–73

Dealiased spectral images from aliased Fizeau Fourier transform spectroscopy measurements

Samuel T. Thurman and James R. Fienup  »View Author Affiliations

JOSA A, Vol. 24, Issue 1, pp. 68-73 (2007)

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Fizeau Fourier transform imaging spectroscopy (FTIS) is a technique for collecting both spatial and spectral information about an object with a Fizeau imaging interferometer and postprocessing. The technique possesses unconventional imaging properties due to the fact that the system transfer functions, including the imaging and spectral postprocessing operations, are given by cross correlations between subapertures of the optical system, in comparison with the conventional optical transfer function, which is given by the autocorrelation of the entire aperture of the system. The unconventional imaging properties of Fizeau FTIS can be exploited to form spatially dealiased spectral images from undersampled intensity measurements (obtain superresolution relative to the detector pixel spacing). We demonstrate this dealiasing technique through computer simulations and discuss the associated design and operational trade-offs.

© 2006 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(100.3010) Image processing : Image reconstruction techniques
(100.3020) Image processing : Image reconstruction-restoration
(100.6640) Image processing : Superresolution
(110.5100) Imaging systems : Phased-array imaging systems
(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation

ToC Category:
Fourier Optics and Optical Signal Processing

Original Manuscript: May 9, 2006
Manuscript Accepted: June 1, 2006

Samuel T. Thurman and James R. Fienup, "Dealiased spectral images from aliased Fizeau Fourier transform spectroscopy measurements," J. Opt. Soc. Am. A 24, 68-73 (2007)

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