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24 - Diffraction gratings

Published online by Cambridge University Press:  31 January 2011

Masud Mansuripur
Affiliation:
University of Arizona
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Summary

Diffraction gratings have been used in spectroscopy and other studies of electromagnetic phenomena for nearly two centuries. Josef Fraunhofer (1787–1826), the discoverer of the dark lines in the solar spectrum, built the first gratings in 1819 by winding fine wires around two parallel screws. Henry Rowland made significant contributions to the fabrication of precise, large-area, high-frequency ruled gratings in the 1880s. Robert Wood, who succeeded Rowland in the chair of experimental physics at Johns Hopkins University in 1901, used these ruled gratings extensively in his researches and discovered, among other things, the “anomalous” behavior of metallic gratings, which he first published in 1902. John William Strutt (Lord Rayleigh) developed a theoretical model of these gratings around 1907 and was successful in explaining certain features of Wood's anomalies. However, it is only during the past thirty years or so that a thorough understanding of nearly all aspects of the behavior of diffraction gratings has been achieved through the consistent application of Maxwell's equations with the help of advanced analytical and numerical techniques.

Modern gratings having a few thousand lines per millimeter with near-perfect periodicity are fabricated over fairly large areas (grating diameters of around one meter or so are possible). The groove shapes can be controlled to be sinusoidal, rectangular, triangular, or trapezoidal, and one can obtain shallow or deep grooves (relative to the groove width) by current manufacturing techniques.

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Publisher: Cambridge University Press
Print publication year: 2009

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References

Born, M. and Wolf, E., Principles of Optics, sixth edition, Pergamon Press, Oxford, 1980.Google Scholar
Petit, editor R., Electromagnetic Theory of Gratings, Vol. 22 of Topics in Current Physics, Springer Verlag, Berlin, 1980.CrossRefGoogle Scholar
Hutley, M. C., Diffraction Gratings, Academic Press, New York, 1982.Google Scholar
Loewen, E. G. and Popov, E., Diffraction Gratings and Applications, Marcel Dekker, New York, 1997.Google Scholar
Fraunhofer, J., Ann. d. Physik74, 337 (1823), reprinted in his collected works, 117 (Munich, 1888).
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Wood, R. W., On a remarkable case of uneven distribution of light in a diffraction grating spectrum, Phil. Mag. 4, 396–402 (1902).CrossRefGoogle Scholar
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Maystre, D., Rigorous vector theories of diffraction gratings, in Progress in Optics, Vol. 21, 1–67, ed. E. Wolf, Elsevier, Amsterdam, 1984.
Maystre, D., ed., selected Papers on Diffraction Gratings, SPIE Milestone series, Vol. MS 83, SPIE, Bellingham, 1993.
Lifeng, Li, Multilayer-coated diffraction gratings: differential method of Chandezon et al. revisited, J. Opt. Soc. Am. A11, 2816–2828 (1994).Google Scholar
The simulations in this chapter were performed by DELTA, a program developed by Lifeng Li for grating calculations, and by DIFFRACTTM, a product of MM Research Inc., Tucson, Arizona.

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  • Diffraction gratings
  • Masud Mansuripur, University of Arizona
  • Book: Classical Optics and its Applications
  • Online publication: 31 January 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511803796.027
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  • Diffraction gratings
  • Masud Mansuripur, University of Arizona
  • Book: Classical Optics and its Applications
  • Online publication: 31 January 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511803796.027
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Diffraction gratings
  • Masud Mansuripur, University of Arizona
  • Book: Classical Optics and its Applications
  • Online publication: 31 January 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511803796.027
Available formats
×