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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 72, Iss. 6 — Jun. 1, 1982
  • pp: 812–813

Plane-wave expansions used to describe the field diffracted by a grating: comments

A. Wirgin  »View Author Affiliations


JOSA, Vol. 72, Issue 6, pp. 812-813 (1982)
http://dx.doi.org/10.1364/JOSA.72.000812


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Abstract

It is shown that (1) the exceptional numerical efficiency of the Rayleigh-Fourier method for h/d (h is the height and d is the period of a sinusoidal grating) as large as 0.5 could not have been discovered by Petit and Cadilhac in 1966 and (2) the Rayleigh least-squares method does not converge numerically for all h/d, these facts being in contradication to the assertions made by Hugonin et al. [J. Opt. Soc. Am. 71, 593 (1981)].

© 1982 Optical Society of America

Citation
A. Wirgin, "Plane-wave expansions used to describe the field diffracted by a grating: comments," J. Opt. Soc. Am. 72, 812-813 (1982)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-72-6-812


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References

  1. J. P. Hugonin, R. Petit, and M. Cadilhac, "Plane-wave expansion used to describe the field diffracted by a grating," J. Opt. Soc. Am. 71, 593–598 (1981).
  2. A. Wirgin, "Sur la théorie de Rayleigh de la diffraction d'une onde par une surface sinusoidale," C. R. Acad. Sci. Ser. B 288, 179–182 (1979).
  3. A. Wirgin, "Sur trois variantes de la théorie de Rayleigh de la diffraction d'une onde par une surface sinusoidale," C. R. Acad. Sci. Ser. A 289, 259–262 (1979).
  4. A. Wirgin, "Aspects numériques du problème de la diffraction d'une onde par une surface sinusoidale," C. R. Acad. Sci. Ser. B 289, 273–276 (1979).
  5. A. Wirgin, "Reflection from a corrugated surface," J. Acoust. Soc. Am. 68, 692–699 (1980).
  6. R. Petit and M. Cadilhac, "Sur la diffraction d'une onde plane par un réseau infiniment conducteur," C. R. Acad. Sci. Ser. B 262, 468–471 (1966).
  7. A. Wirgin, "On Rayleigh's theory of sinusoidal diffraction gratings," Opt. Acta 27, 1671–1692 (1980).
  8. R. Petit, "Contribution à l'étude théorique de la diffraction par un réseau métallique," Rev. Opt. Theor. Instrum. 45, 249–276, 353–370 (1966).
  9. B. A. Lippmann, "Note on the theory of gratings," J. Opt. Soc. Am. 43, 408 (1953).
  10. R. Petit, "Electromagnetic grating theories: limitations and successes," Nouv. Rev. Opt. 6, 129–135 (1975).
  11. P. M. Van den Berg, "Reflection by a grating: Rayleigh methods," J. Opt. Soc. Am. 71, 1224–1229 (1981).
  12. A. Wirgin, "On Rayleigh's theory of partially reflecting gratings," Opt. Acta. 28, 1377–1404 (1981).
  13. A. Wirgin, "Sur la réponse spectrale de certaines surfaces texturées," J. Phys. Colloq. 42, 57–85 (1981).
  14. A. Wirgin, "Simulation de l'action d'une couche antireflet par une rugosité de surface," C. R. Acad. Sci. Ser. II 292, 163–166 (1981).
  15. A. Wirgin, "On the reduction of reflection between two transparent media by interface roughening," Opt. Commun. 37, 321–325 (1981).

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