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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 31, Iss. 9 — Sep. 1, 2014
  • pp: 2002–2010

On the instrument profile of slit spectrographs

R. Casini and A. G. de Wijn  »View Author Affiliations

JOSA A, Vol. 31, Issue 9, pp. 2002-2010 (2014)

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We derive an analytic expression for the instrument profile of a slit spectrograph, also known as the line spread function. While this problem is not new, our treatment relies on the operatorial approach to the description of diffractive optical systems, which provides a general framework for the analysis of the performance of slit spectrographs under different illumination conditions. Based on our results, we propose an approximation to the spectral resolution of slit spectrographs, taking into account diffraction effects and sampling by the detector, which improves upon the often adopted approximation based on the root-sum-square of the individual contributions from the slit, the grating, and the detector pixel.

© 2014 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(300.0300) Spectroscopy : Spectroscopy

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: June 2, 2014
Manuscript Accepted: July 17, 2014
Published: August 15, 2014

R. Casini and A. G. de Wijn, "On the instrument profile of slit spectrographs," J. Opt. Soc. Am. A 31, 2002-2010 (2014)

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  1. J. M. Lerner and A. Thevenon, The Optics of Spectroscopy: A Tutorial (Jobin Yvon/Horiba Optical Systems, 1998).
  2. D. F. Elmore, R. Casini, G. L. Card, M. Davis, A. Lecinski, R. Lull, P. G. Nelson, and S. Tomczyk, “A new spectro-polarimeter for solar prominence and filament magnetic field measurements,” Proc. SPIE 7014, 39–48 (2008).
  3. F. L. O. Wadsworth, “On the resolving power of telescopes and spectroscopes for lines of finite width,” Philos. Mag. 43, 317–343 (1897).
  4. P. H. van Cittert, “Zum Einfluß der Spaltbreite auf die Intensitätsverteilung in Spektrallinien,” Z. Phys. 65, 547–563 (1930). [CrossRef]
  5. K. D. Mielenz, “Spectroscope slit images in partially coherent light,” J. Opt. Soc. Am. 57, 66–71 (1967). [CrossRef]
  6. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).
  7. M. Nazarathy and J. Shamir, “Fourier optics described by operator algebra,” J. Opt. Soc. Am. 70, 150–159 (1980). [CrossRef]
  8. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (National Bureau of Standards, 1964).
  9. D. F. Gray, The Observation and Analysis of Stellar Atmospheres (Wiley, 1976).
  10. D. J. Schroeder, Astronomical Optics, 2nd ed. (Academic, 2000).

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