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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 56, Iss. 1 — Jan. 1, 1966
  • pp: 53–58

Response of a Spectrometer to a Modulated Plane Wave

CASPER W. BARNES  »View Author Affiliations


JOSA, Vol. 56, Issue 1, pp. 53-58 (1966)
http://dx.doi.org/10.1364/JOSA.56.000053


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Abstract

This paper presents a derivation of the response of a simple grating spectrometer to a plane wave that is modulated in both phase and amplitude by arbitrary functions. The spectrometer is characterized by its familiar frequency-domain response and by its less familiar time-domain response. It is found that the time-domain characterization is a useful form for studying the response of a spectrometer to a modulated plane wave. The quasi-static response for low modulation rates is clearly revealed by the time-domain characterization. Furthermore, the response of the first moment of the light intensity in the focal plane of the spectrometer can be derived easily from the time-domain characterization.

The technique described here is used to compute the time-domain response of a spectrometer to a plane wave with a linearly sweeping frequency.

Citation
CASPER W. BARNES, "Response of a Spectrometer to a Modulated Plane Wave," J. Opt. Soc. Am. 56, 53-58 (1966)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-56-1-53


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References

  1. S. E. Harris and A. E. Siegman, IRE Trans. Electron Devices ED-9, 322 (1962).
  2. S. E. Harris, J. Opt. Soc. Am. 54, 1147 (1964).
  3. See, for example, M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1959), Sec. 8.6.3.
  4. We assume that the duration of the sweep is long compared to the spectrometer integration period so that effects due to the beginning and end of the sweep can be ignored.

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