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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 58, Iss. 9 — Sep. 1, 1968
  • pp: 1189–1191

Reflection Efficiencies of Grating in the Soft X-Ray Region

SHIRO FUJIWARA and YASUO IGUCHI  »View Author Affiliations

JOSA, Vol. 58, Issue 9, pp. 1189-1191 (1968)

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The reflection efficiency of a lightly ruled glass grating, mainly in relation to its short-wavelength limit in the soft x-ray region, is discussed on the basis of the Rayleigh-Fano theory, which deals with Wood’s anomalies of optical gratings. The reflectances of waves diffracted by a glass grating are calculated under appropriately assumed conditions and the locations of the abrupt enhancement of reflection are derived. Theoretical predictions have been confirmed by a simulated experiment performed in the visible region.

SHIRO FUJIWARA and YASUO IGUCHI, "Reflection Efficiencies of Grating in the Soft X-Ray Region," J. Opt. Soc. Am. 58, 1189-1191 (1968)

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  12. In our expressions of boundary conditions, we assume that the whole grating surface is illuminated and that no part is shadowed by another part.
  13. The P and S components correspond to the components of the incident light with its electric vector parallel and perpendicular to the grooves, respectively.
  14. The spectral reflectances for the P component are almost the same as those of the S component, because the refractive index of glass is nearly equal to one in the soft x-ray region.
  15. G. Toraldo di Francia, La diffrazione della Luce (Edizioni Scientifiche Einaudi, Torino, Italia, 1958), p. 164; also, in La Théorie des Images Optiques, P. Fleury, A. Maréchal, C. Anglande, Eds. (Éditions de la Revue d’Optique, Paris, 1949), p. 205.
  16. When a beam of soft x rays is incident from vacuum side on a glass grating, the total reflection phenomenon can occur, since the refractive index of glass is less than one in the soft x-ray region.
  17. The reflectances are normalized at the second enhancing angle; that is, at ϑc, 0 for n>0 and ϑc, n for n<0.

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