Abstract

The possibility of making perfectly conducting rectangular-groove gratings perfectly blazed simultaneously in both polarizations is investigated and numerous efficiency curves are given. Attention is given to the fact that these curves are unfortunately greatly modified if finite conductivity is taken into account.

© 1976 Optical Society of America

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References

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  1. A. Hessel, J. Schmoys, and D. Y. Tseng, J. Opt. Soc. Am. 65, 380 (1975).
    [Crossref]
  2. D. Maystre and R. Petit, Opt. Commun. 5, 90 (1972).
    [Crossref]
  3. J. L. Roumiguieres, D. Maystre, and R. Petit, Opt. Commun. 7, 402 (1973).
    [Crossref]
  4. J. L. Roumiguieres, D. Maystre, and R. Petit, Proceedings of the Fifth Colloquium on Microwave Communication, Vol. 3, (Akademiai Kiado, Budapest, 1974).
  5. D. Maystre and R. Petit, Nouv. Rev. Opt. 2, 115 (1971).
    [Crossref]
  6. D. Maystre, R. Petit, M. Duban, and J. Gilewicz, Nouv. Rev. Opt. 5, 79 (1974).
    [Crossref]
  7. D. Maystre, thèse (University Aix-Marseille III, C.N.R.S.A.O. 9545, 1974) (unpublished).
  8. R. C. Mac Phedran and D. Maystre, J. Spectro. Soc. Jpn. 23, 13 (1974).
  9. D. Maystre and R. Petit, Nouv. Rev. Opt.6, (to be published).
  10. M. Neviere, thèse (University Aix-Marseille III, C.N.R.S.A.O. 11556, 1975) (unpublished).
  11. M. Neviere, P. Vincent, and P. Petit, Nouv. Rev. Opt. 5, 65 (1974).
    [Crossref]
  12. M. C. Hutley, J. P. Verril, R. C. Mac Phedran, M. Neviere, and P. Vincent, Nouv. Rev. Opt. 6, 87 (1975).
    [Crossref]
  13. W. R. Hunter, Naval Research Laboratory, Washington, D.C. (private communication).

1975 (2)

A. Hessel, J. Schmoys, and D. Y. Tseng, J. Opt. Soc. Am. 65, 380 (1975).
[Crossref]

M. C. Hutley, J. P. Verril, R. C. Mac Phedran, M. Neviere, and P. Vincent, Nouv. Rev. Opt. 6, 87 (1975).
[Crossref]

1974 (3)

D. Maystre, R. Petit, M. Duban, and J. Gilewicz, Nouv. Rev. Opt. 5, 79 (1974).
[Crossref]

R. C. Mac Phedran and D. Maystre, J. Spectro. Soc. Jpn. 23, 13 (1974).

M. Neviere, P. Vincent, and P. Petit, Nouv. Rev. Opt. 5, 65 (1974).
[Crossref]

1973 (1)

J. L. Roumiguieres, D. Maystre, and R. Petit, Opt. Commun. 7, 402 (1973).
[Crossref]

1972 (1)

D. Maystre and R. Petit, Opt. Commun. 5, 90 (1972).
[Crossref]

1971 (1)

D. Maystre and R. Petit, Nouv. Rev. Opt. 2, 115 (1971).
[Crossref]

Duban, M.

D. Maystre, R. Petit, M. Duban, and J. Gilewicz, Nouv. Rev. Opt. 5, 79 (1974).
[Crossref]

Gilewicz, J.

D. Maystre, R. Petit, M. Duban, and J. Gilewicz, Nouv. Rev. Opt. 5, 79 (1974).
[Crossref]

Hessel, A.

Hunter, W. R.

W. R. Hunter, Naval Research Laboratory, Washington, D.C. (private communication).

Hutley, M. C.

M. C. Hutley, J. P. Verril, R. C. Mac Phedran, M. Neviere, and P. Vincent, Nouv. Rev. Opt. 6, 87 (1975).
[Crossref]

Mac Phedran, R. C.

M. C. Hutley, J. P. Verril, R. C. Mac Phedran, M. Neviere, and P. Vincent, Nouv. Rev. Opt. 6, 87 (1975).
[Crossref]

R. C. Mac Phedran and D. Maystre, J. Spectro. Soc. Jpn. 23, 13 (1974).

Maystre, D.

R. C. Mac Phedran and D. Maystre, J. Spectro. Soc. Jpn. 23, 13 (1974).

D. Maystre, R. Petit, M. Duban, and J. Gilewicz, Nouv. Rev. Opt. 5, 79 (1974).
[Crossref]

J. L. Roumiguieres, D. Maystre, and R. Petit, Opt. Commun. 7, 402 (1973).
[Crossref]

D. Maystre and R. Petit, Opt. Commun. 5, 90 (1972).
[Crossref]

D. Maystre and R. Petit, Nouv. Rev. Opt. 2, 115 (1971).
[Crossref]

D. Maystre and R. Petit, Nouv. Rev. Opt.6, (to be published).

J. L. Roumiguieres, D. Maystre, and R. Petit, Proceedings of the Fifth Colloquium on Microwave Communication, Vol. 3, (Akademiai Kiado, Budapest, 1974).

D. Maystre, thèse (University Aix-Marseille III, C.N.R.S.A.O. 9545, 1974) (unpublished).

Neviere, M.

M. C. Hutley, J. P. Verril, R. C. Mac Phedran, M. Neviere, and P. Vincent, Nouv. Rev. Opt. 6, 87 (1975).
[Crossref]

M. Neviere, P. Vincent, and P. Petit, Nouv. Rev. Opt. 5, 65 (1974).
[Crossref]

M. Neviere, thèse (University Aix-Marseille III, C.N.R.S.A.O. 11556, 1975) (unpublished).

Petit, P.

M. Neviere, P. Vincent, and P. Petit, Nouv. Rev. Opt. 5, 65 (1974).
[Crossref]

Petit, R.

D. Maystre, R. Petit, M. Duban, and J. Gilewicz, Nouv. Rev. Opt. 5, 79 (1974).
[Crossref]

J. L. Roumiguieres, D. Maystre, and R. Petit, Opt. Commun. 7, 402 (1973).
[Crossref]

D. Maystre and R. Petit, Opt. Commun. 5, 90 (1972).
[Crossref]

D. Maystre and R. Petit, Nouv. Rev. Opt. 2, 115 (1971).
[Crossref]

D. Maystre and R. Petit, Nouv. Rev. Opt.6, (to be published).

J. L. Roumiguieres, D. Maystre, and R. Petit, Proceedings of the Fifth Colloquium on Microwave Communication, Vol. 3, (Akademiai Kiado, Budapest, 1974).

Roumiguieres, J. L.

J. L. Roumiguieres, D. Maystre, and R. Petit, Opt. Commun. 7, 402 (1973).
[Crossref]

J. L. Roumiguieres, D. Maystre, and R. Petit, Proceedings of the Fifth Colloquium on Microwave Communication, Vol. 3, (Akademiai Kiado, Budapest, 1974).

Schmoys, J.

Tseng, D. Y.

Verril, J. P.

M. C. Hutley, J. P. Verril, R. C. Mac Phedran, M. Neviere, and P. Vincent, Nouv. Rev. Opt. 6, 87 (1975).
[Crossref]

Vincent, P.

M. C. Hutley, J. P. Verril, R. C. Mac Phedran, M. Neviere, and P. Vincent, Nouv. Rev. Opt. 6, 87 (1975).
[Crossref]

M. Neviere, P. Vincent, and P. Petit, Nouv. Rev. Opt. 5, 65 (1974).
[Crossref]

J. Opt. Soc. Am. (1)

J. Spectro. Soc. Jpn. (1)

R. C. Mac Phedran and D. Maystre, J. Spectro. Soc. Jpn. 23, 13 (1974).

Nouv. Rev. Opt. (4)

D. Maystre and R. Petit, Nouv. Rev. Opt. 2, 115 (1971).
[Crossref]

D. Maystre, R. Petit, M. Duban, and J. Gilewicz, Nouv. Rev. Opt. 5, 79 (1974).
[Crossref]

M. Neviere, P. Vincent, and P. Petit, Nouv. Rev. Opt. 5, 65 (1974).
[Crossref]

M. C. Hutley, J. P. Verril, R. C. Mac Phedran, M. Neviere, and P. Vincent, Nouv. Rev. Opt. 6, 87 (1975).
[Crossref]

Opt. Commun. (2)

D. Maystre and R. Petit, Opt. Commun. 5, 90 (1972).
[Crossref]

J. L. Roumiguieres, D. Maystre, and R. Petit, Opt. Commun. 7, 402 (1973).
[Crossref]

Other (5)

J. L. Roumiguieres, D. Maystre, and R. Petit, Proceedings of the Fifth Colloquium on Microwave Communication, Vol. 3, (Akademiai Kiado, Budapest, 1974).

D. Maystre, thèse (University Aix-Marseille III, C.N.R.S.A.O. 9545, 1974) (unpublished).

D. Maystre and R. Petit, Nouv. Rev. Opt.6, (to be published).

M. Neviere, thèse (University Aix-Marseille III, C.N.R.S.A.O. 11556, 1975) (unpublished).

W. R. Hunter, Naval Research Laboratory, Washington, D.C. (private communication).

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Figures (6)

FIG. 1
FIG. 1

Notations.

FIG. 2
FIG. 2

Relative depth of a 100% blazed grating vs angle of incidence in the Littrow mount (λ/2d = sinθ) and for the TE polarization. One curve is associated with a given value of a/d. In fact, when a/d and θ are fixed, several depths exist that give a 100% efficiency. Only the smallest has been plotted, except for a/d = 0.667, a value for which two curves are given: the solid line corresponds to the smallest depth; the dotted line to the other one.

FIG. 3
FIG. 3

Relative depth of a 100% blazed grating vs angle of incidence in the Littrow mount (λ/2d = sinθ) and for the TM polarization. Here again only the smallest value of hB/d has been plotted.

FIG. 4
FIG. 4

(a) Efficiency E−1 vs θ for the grating G1, a/d = 0.50, hB/d = 0.6307. TE, ———; TM---------. (b) Efficiency E−1 vs θ for the grating G2, a/d = 0.667, hB/d = 0.8074. It must be noted that for this grating there are two values of the incidence that give an efficiency of 100% in the TE case of polarization. This is due to the fact that in Fig. 2, the line hB/d = 0.8074 cuts the two curves associated with a/d = 0.667. TE, ———; TM, ---------. (c) Efficiency E−1 vs θ for the grating G3, a/d = 0.75, hB/d = 0.838. TE, ———; TM, ---------. (d) Efficiency E−1 vs θ for the grating G4, a/d = 0.80, hB/d = 0.8423. TE, ———; TM, ---------. (e) Efficiency E−1 vs θ for the grating G5, a/d = 0.90, hB/d = 0.8699. TE, ———; TM, ---------. (f) Efficiency E−1 vs θ for the grating G6, a/d = 0.95, hB/d = 0.9053. TE, ———; TM, ---------.

FIG. 5
FIG. 5

Grating with 2400 lines/mm (a/d = 0.667, hB/d = 0.808). The material is aluminium (dotted line) or a perfectly conducting metal (solid line). (a) TE case of polarization; (b) TM case of polarization.

FIG. 6
FIG. 6

Grating with 5882 lines/mm (a/d = 0.667, hB/d =808). The material is aluminium (×) or a perfectly conducting metal (solid line). Here the grating is used in the near uv. Because our aim was only to show the curves to be different, only a few points have been used. (a) TE case of polarization, (b) TM case of polarization.