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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 4 — Apr. 1, 2006
  • pp: 966–972

Theory of spectroscopic devices

János Hebling and Zsuzsanna Márton  »View Author Affiliations


JOSA A, Vol. 23, Issue 4, pp. 966-972 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000966


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Abstract

A fundamental formalism featuring the common working principle of different spectroscopic devices is introduced. General formulas for angular dispersion, free spectral range, and spectral resolution are deduced from both the impulse response function and the spatial transmission function of the device, based on the assumption that these functions can be written up as the product of a finite width, real-aperture function, and a complex periodic function. The method will also be shown to work in specific cases.

© 2006 Optical Society of America

OCIS Codes
(260.0260) Physical optics : Physical optics
(260.1960) Physical optics : Diffraction theory
(260.2030) Physical optics : Dispersion
(300.0300) Spectroscopy : Spectroscopy
(300.6190) Spectroscopy : Spectrometers

ToC Category:
Spectroscopy

History
Original Manuscript: July 11, 2005
Revised Manuscript: August 22, 2005
Manuscript Accepted: August 24, 2005

Citation
János Hebling and Zsuzsanna Márton, "Theory of spectroscopic devices," J. Opt. Soc. Am. A 23, 966-972 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-4-966


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References

  1. W. Demtröder, Laser Spectroscopy (Springer-Verlag, 1982).
  2. M. Born and E. Wolf, Principles of Optics (Pergamon, 1975).
  3. M. V. Klein, Optics (Wiley, 1970).
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  5. J. Hebling, "Spectral resolving power," J. Opt. Soc. Am. A 11, 2900-2904 (1994). [CrossRef]
  6. D. C. Champeney, Fourier Transforms and Their Physical Applications (Academic, 1973), pp. 91-99.
  7. D. C. Champeney, Fourier Transforms and Their Physical Applications (Academic, 1973), pp. 9-39.
  8. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968), pp. 48-56.
  9. S. Szatmári, G. Kuhnle, and P. Simon, "Pulse compression and traveling wave excitation scheme using a single dispersive element," Appl. Opt. 29, 5372-5379 (1990). [CrossRef] [PubMed]
  10. J. Hebling, "Derivation of the pulse front tilt caused by angular dispersion," Opt. Quantum Electron. 28, 1759-1763 (1996). [CrossRef]
  11. Zs. Bor and B. Rácz, "Group velocity dispersion in prisms and its application to pulse compression and travelling wave excitation," Opt. Commun. 54, 165-170 (1985). [CrossRef]

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