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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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