Abstract

It is shown that (1) the exceptional numerical efficiency of the Rayleigh-Fourier method for <i>h/d</i> (<i>h</i> is the height and <i>d</i> 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 <i>h</i>/<i>d</i>, these facts being in contradication to the assertions made by Hugonin <i>et al.</i> [J. Opt. Soc. Am. <b>71</b>, 593 (1981)].

© 1982 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  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).

1981 (6)

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).

P. M. Van den Berg, "Reflection by a grating: Rayleigh methods," J. Opt. Soc. Am. 71, 1224–1229 (1981).

A. Wirgin, "On Rayleigh's theory of partially reflecting gratings," Opt. Acta. 28, 1377–1404 (1981).

A. Wirgin, "Sur la réponse spectrale de certaines surfaces texturées," J. Phys. Colloq. 42, 57–85 (1981).

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).

A. Wirgin, "On the reduction of reflection between two transparent media by interface roughening," Opt. Commun. 37, 321–325 (1981).

1980 (2)

A. Wirgin, "Reflection from a corrugated surface," J. Acoust. Soc. Am. 68, 692–699 (1980).

A. Wirgin, "On Rayleigh's theory of sinusoidal diffraction gratings," Opt. Acta 27, 1671–1692 (1980).

1979 (3)

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).

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).

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).

1975 (1)

R. Petit, "Electromagnetic grating theories: limitations and successes," Nouv. Rev. Opt. 6, 129–135 (1975).

1966 (2)

R. Petit, "Contribution à l'étude théorique de la diffraction par un réseau métallique," Rev. Opt. Theor. Instrum. 45, 249–276, 353–370 (1966).

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).

1953 (1)

Cadilhac, M.

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).

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).

Hugonin, J. P.

Lippmann, B. A.

Petit, R.

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).

R. Petit, "Electromagnetic grating theories: limitations and successes," Nouv. Rev. Opt. 6, 129–135 (1975).

R. Petit, "Contribution à l'étude théorique de la diffraction par un réseau métallique," Rev. Opt. Theor. Instrum. 45, 249–276, 353–370 (1966).

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).

Van den Berg, P. M.

Wirgin, A.

A. Wirgin, "On Rayleigh's theory of partially reflecting gratings," Opt. Acta. 28, 1377–1404 (1981).

A. Wirgin, "Sur la réponse spectrale de certaines surfaces texturées," J. Phys. Colloq. 42, 57–85 (1981).

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).

A. Wirgin, "On the reduction of reflection between two transparent media by interface roughening," Opt. Commun. 37, 321–325 (1981).

A. Wirgin, "On Rayleigh's theory of sinusoidal diffraction gratings," Opt. Acta 27, 1671–1692 (1980).

A. Wirgin, "Reflection from a corrugated surface," J. Acoust. Soc. Am. 68, 692–699 (1980).

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).

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).

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).

C. R. Acad. Sci. Ser. A (1)

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).

C. R. Acad. Sci. Ser. B (3)

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).

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).

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).

C. R. Acad. Sci. Ser. II (1)

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).

J. Acoust. Soc. Am. (1)

A. Wirgin, "Reflection from a corrugated surface," J. Acoust. Soc. Am. 68, 692–699 (1980).

J. Opt. Soc. Am. (3)

J. Phys. Colloq. (1)

A. Wirgin, "Sur la réponse spectrale de certaines surfaces texturées," J. Phys. Colloq. 42, 57–85 (1981).

Nouv. Rev. Opt. (1)

R. Petit, "Electromagnetic grating theories: limitations and successes," Nouv. Rev. Opt. 6, 129–135 (1975).

Opt. Acta (1)

A. Wirgin, "On Rayleigh's theory of sinusoidal diffraction gratings," Opt. Acta 27, 1671–1692 (1980).

Opt. Acta. (1)

A. Wirgin, "On Rayleigh's theory of partially reflecting gratings," Opt. Acta. 28, 1377–1404 (1981).

Opt. Commun. (1)

A. Wirgin, "On the reduction of reflection between two transparent media by interface roughening," Opt. Commun. 37, 321–325 (1981).

Rev. Opt. Theor. Instrum. (1)

R. Petit, "Contribution à l'étude théorique de la diffraction par un réseau métallique," Rev. Opt. Theor. Instrum. 45, 249–276, 353–370 (1966).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.