Abstract

Numerical results for plane-wave scattering from a perfectly conducting diffraction grating with triangular groove profile show that simultaneous blazing with 100% efficiency in both polarizations is obtainable in a Littrow arrangement. The range of angles of incidence, for which such simultaneous blazing occurs, is considerably narrower than that obtainable with a rectangular groove profile.

© 1977 Optical Society of America

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References

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  1. A. Hessel, J. Shmoys, and D. Y. Tseng, “Bragg-angle blazing of diffraction gratings,” J. Opt. Soc. Am. 65, 380–384 (1975).
    [Crossref]
  2. E. V. Jull, J. W. Heath, and G. R. Ebbeson, “Gratings the diffract all incident energy,” J. Opt. Soc. Am. 67, 557–560 (1977).
    [Crossref]
  3. J. L. Roumiguieres, D. Maystre, and R. Petit, “On the efficiencies of rectangular-groove gratings,” J. Opt. Soc. Am. 66, 772–775 (1976).
    [Crossref]
  4. G. W. Stroke, “Attainment of high efficiencies in blazed optical gratings by avoiding polarization in the diffracted light,” Phys. Lett. 5, 45–48 (1963);also “Diffraction Gratings,” in Handbuch der Physik (Springer, Berlin, 1967), Vol. 29.
    [Crossref]
  5. D. Maystre and R. Petit, “Étude quantitative de l’efficacité du réseau échelette dans un montage a deviation constante,” Nouv. Rev. d’Opt. Appl. 2, 115–120 (1971).
    [Crossref]
  6. R. C. McPhedran and M. D. Waterworth, “Blaze optimization for triangular profile gratings,” Opt. Acta 20, 177–191 (1973).
    [Crossref]
  7. S. Jovićević and D. Sesnic, “Diffraction of a parallel and perpendicular-polarized wave from an echelette grating,” J. Opt. Soc. Am. 62, 865–877 (1972).
    [Crossref]

1977 (1)

1976 (1)

1975 (1)

1973 (1)

R. C. McPhedran and M. D. Waterworth, “Blaze optimization for triangular profile gratings,” Opt. Acta 20, 177–191 (1973).
[Crossref]

1972 (1)

1971 (1)

D. Maystre and R. Petit, “Étude quantitative de l’efficacité du réseau échelette dans un montage a deviation constante,” Nouv. Rev. d’Opt. Appl. 2, 115–120 (1971).
[Crossref]

1963 (1)

G. W. Stroke, “Attainment of high efficiencies in blazed optical gratings by avoiding polarization in the diffracted light,” Phys. Lett. 5, 45–48 (1963);also “Diffraction Gratings,” in Handbuch der Physik (Springer, Berlin, 1967), Vol. 29.
[Crossref]

Ebbeson, G. R.

Heath, J. W.

Hessel, A.

Jovicevic, S.

Jull, E. V.

Maystre, D.

J. L. Roumiguieres, D. Maystre, and R. Petit, “On the efficiencies of rectangular-groove gratings,” J. Opt. Soc. Am. 66, 772–775 (1976).
[Crossref]

D. Maystre and R. Petit, “Étude quantitative de l’efficacité du réseau échelette dans un montage a deviation constante,” Nouv. Rev. d’Opt. Appl. 2, 115–120 (1971).
[Crossref]

McPhedran, R. C.

R. C. McPhedran and M. D. Waterworth, “Blaze optimization for triangular profile gratings,” Opt. Acta 20, 177–191 (1973).
[Crossref]

Petit, R.

J. L. Roumiguieres, D. Maystre, and R. Petit, “On the efficiencies of rectangular-groove gratings,” J. Opt. Soc. Am. 66, 772–775 (1976).
[Crossref]

D. Maystre and R. Petit, “Étude quantitative de l’efficacité du réseau échelette dans un montage a deviation constante,” Nouv. Rev. d’Opt. Appl. 2, 115–120 (1971).
[Crossref]

Roumiguieres, J. L.

Sesnic, D.

Shmoys, J.

Stroke, G. W.

G. W. Stroke, “Attainment of high efficiencies in blazed optical gratings by avoiding polarization in the diffracted light,” Phys. Lett. 5, 45–48 (1963);also “Diffraction Gratings,” in Handbuch der Physik (Springer, Berlin, 1967), Vol. 29.
[Crossref]

Tseng, D. Y.

Waterworth, M. D.

R. C. McPhedran and M. D. Waterworth, “Blaze optimization for triangular profile gratings,” Opt. Acta 20, 177–191 (1973).
[Crossref]

J. Opt. Soc. Am. (4)

Nouv. Rev. d’Opt. Appl. (1)

D. Maystre and R. Petit, “Étude quantitative de l’efficacité du réseau échelette dans un montage a deviation constante,” Nouv. Rev. d’Opt. Appl. 2, 115–120 (1971).
[Crossref]

Opt. Acta (1)

R. C. McPhedran and M. D. Waterworth, “Blaze optimization for triangular profile gratings,” Opt. Acta 20, 177–191 (1973).
[Crossref]

Phys. Lett. (1)

G. W. Stroke, “Attainment of high efficiencies in blazed optical gratings by avoiding polarization in the diffracted light,” Phys. Lett. 5, 45–48 (1963);also “Diffraction Gratings,” in Handbuch der Physik (Springer, Berlin, 1967), Vol. 29.
[Crossref]

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Figures (5)

FIG. 1
FIG. 1

Triangular-groove grating.

FIG. 2
FIG. 2

Efficiency in TE(P) polarization vs blaze angle of an echelette grating blazed for TM(S) polarization.

FIG. 3
FIG. 3

Relative depth h/d vs angle of incidence θ of a triangular-groove grating 100% blazed for TM(S) polarization. Bragg condition, λ/2d = sinθ was maintained; l/d = 0 josa-67-12-1686-i001, l/d = 0. 25 josa-67-12-1686-i002josa-67-12-1686-i002, and l/d = 0. 5 josa-67-12-1686-i003josa-67-12-1686-i003.

FIG. 4
FIG. 4

Relative depth h/d vs angle of incidence θ of a triangular-groove grating 100% blazed for TE(P) polarization. Bragg condition, λ/2d = sinθ, was maintained; l/d = 0 josa-67-12-1686-i001, l/d = 0. 25 josa-67-12-1686-i002josa-67-12-1686-i002, and l/d = 0. 5 josa-67-12-1686-i003josa-67-12-1686-i003.

FIG. 5
FIG. 5

Relative depth h/d vs angle of incidence θ of a 100% blazed triangular grating, under Bragg condition λ/2d = sinθ and with l/d = 0. 25, for both polarizations: TE(P) josa-67-12-1686-i004 and TM(S) josa-67-12-1686-i001.

Tables (1)

Tables Icon

TABLE I Parameters of simultaneously blazed triangular-groove gratings.