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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 54, Iss. 3 — Mar. 1, 1964
  • pp: 353–356

Reflection Efficiencies of a Periodic Absorbing Surface

JACK C. MILLER  »View Author Affiliations


JOSA, Vol. 54, Issue 3, pp. 353-356 (1964)
http://dx.doi.org/10.1364/JOSA.54.000353


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Abstract

The reflection efficiencies for the various orders of diffraction produced by a grating are calculated under the following assumptions. The grating is for the most part flat, but with a fraction ε of the periodicity interval a described by a profile function z= ƒ(x). The reflection and transmission efficiencies are calculated as a series expansion in ε. Numerical calculations have been performed for the case of ultrasoft x rays incident at near grazing angles, using a complex index of refraction η = 1-δ0λ2+iβ0λ3.25 or tabulated values. No effects of shadowing by the grating profile have been considered, and the numerical work has been done for a symmetrical triangular trench incised in the flat surface.

Citation
JACK C. MILLER, "Reflection Efficiencies of a Periodic Absorbing Surface," J. Opt. Soc. Am. 54, 353-356 (1964)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-54-3-353

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