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Applied Optics

Applied Optics


  • Vol. 4, Iss. 10 — Oct. 1, 1965
  • pp: 1275–1297

A New Theory of Wood’s Anomalies on Optical Gratings

A. Hessel and A. A. Oliner  »View Author Affiliations

Applied Optics, Vol. 4, Issue 10, pp. 1275-1297 (1965)

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A new theory of Wood’s anomalies is presented which is based on a guided wave approach rather than the customary multiple scattering procedure. This approach provides both new insight and a method of calculation. It is shown that two distinct types of anomalies may exist: a Rayleigh wavelength type due to the emergence of a new spectal order at grazing angle, and a resonance type which is related to the guided complex waves supportable by the grating. A general theoretical treatment is presented which makes use of a surface reactance to take into account the standing waves in the grating grooves, and which derives the locations and detailed shapes of the anomalies. Rigorous results are obtained for a specific example; the amplitudes of all of the spectral orders are determined explicitly, and the Wood’s anomaly effects are demonstrated clearly in graphical form for a variety of cases.

© 1965 Optical Society of America

Original Manuscript: May 15, 1965
Published: October 1, 1965

A. Hessel and A. A. Oliner, "A New Theory of Wood’s Anomalies on Optical Gratings," Appl. Opt. 4, 1275-1297 (1965)

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