Abstract

Recent experimental and numerical results clearly show that blazed-binary diffractive elements outperform their standard blazed-échelette counterparts in the resonance domain. A theoretical study of one-dimensional blazed-binary gratings shows that the reason for this high efficiency is a waveguiding effect. The electromagnetic study supports the idea that, through waveguiding, a reduction of the shadowing zone is achieved, and thus the efficiency is increased. This is intrinsic to high-frequency binary structures and cannot be achieved with standard échelette diffractive elements.

© 1999 Optical Society of America

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References

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  1. D. E. Aspnes, “Local-field effects and effective-medium theory: a microscopic perspective,” Am. J. Phys. 50, 704–709 (1982).
    [CrossRef]
  2. W. Stork, N. Streibl, H. Haidner, P. Kipfer, “Artificial distributed-index media fabricated by zero-order gratings,” Opt. Lett. 16, 1921–1923 (1991).
    [CrossRef] [PubMed]
  3. Ph. Lalanne, S. Astilean, P. Chavel, E. Cambril, H. Launois, “Blazed-binary subwavelength gratings with efficiencies larger than those of conventional échelette gratings,” Opt. Lett. 23, 1081–1083 (1998).
    [CrossRef]
  4. Ph. Lalanne, S. Astilean, P. Chavel, E. Cambril, H. Launois, “Design and fabrication of blazed-binary diffractive elements with sampling periods smaller than the structural cutoff,” J. Opt. Soc. Am. A 16, 1143–1156 (1999).
    [CrossRef]
  5. Ph. Lalanne, G. M. Morris, “Highly improved convergence of the coupled-wave method for TM polarization,” J. Opt. Soc. Am. A 13, 779–784 (1996).
    [CrossRef]
  6. M. G. Moharam, E. B. Grann, D. A. Pommet, T. K. Gaylord, “Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,” J. Opt. Soc. Am. A 12, 1068–1076 (1995).
    [CrossRef]
  7. Ph. Lalanne, M. P. Jurek, “Computation of the near-field pattern with the coupled-wave method for TM polarization,” J. Mod. Opt. 45, 1357–1374 (1998).
    [CrossRef]

1999 (1)

1998 (2)

Ph. Lalanne, M. P. Jurek, “Computation of the near-field pattern with the coupled-wave method for TM polarization,” J. Mod. Opt. 45, 1357–1374 (1998).
[CrossRef]

Ph. Lalanne, S. Astilean, P. Chavel, E. Cambril, H. Launois, “Blazed-binary subwavelength gratings with efficiencies larger than those of conventional échelette gratings,” Opt. Lett. 23, 1081–1083 (1998).
[CrossRef]

1996 (1)

1995 (1)

1991 (1)

1982 (1)

D. E. Aspnes, “Local-field effects and effective-medium theory: a microscopic perspective,” Am. J. Phys. 50, 704–709 (1982).
[CrossRef]

Aspnes, D. E.

D. E. Aspnes, “Local-field effects and effective-medium theory: a microscopic perspective,” Am. J. Phys. 50, 704–709 (1982).
[CrossRef]

Astilean, S.

Cambril, E.

Chavel, P.

Gaylord, T. K.

Grann, E. B.

Haidner, H.

Jurek, M. P.

Ph. Lalanne, M. P. Jurek, “Computation of the near-field pattern with the coupled-wave method for TM polarization,” J. Mod. Opt. 45, 1357–1374 (1998).
[CrossRef]

Kipfer, P.

Lalanne, Ph.

Launois, H.

Moharam, M. G.

Morris, G. M.

Pommet, D. A.

Stork, W.

Streibl, N.

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Figures (2)

Fig. 1
Fig. 1

(a) Blazed-échelette, (b) blazed-index, (c) blazed-binary gratings.

Fig. 2
Fig. 2

Distribution of the magnitude of the magnetic field vector inside several blazed gratings. (a) Blazed-index grating. In this case the grating refractive index varies linearly between 1 and nmax within one period. The horizontal white lines delimitate the grating region. The first-order diffraction efficiency is 72%. (b)–(f) Blazed-binary gratings with N=4, 5, 6, 8, 10. The white arrows in (a) and (b) represent the Poynting vectors. For all plots the vertical z and horizontal x axes are the same. The gratings are all illuminated from the glass substrate (half-plane z<0), and along the x axis one grating period is shown. The interface between the gratings and the substrate (air) is the plane z=λ/(nmax-1).

Tables (1)

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Table 1 First-Order Diffraction Efficiency of a 3λ-Period Blazed-Binary Diffractive Grating as a Function of the Number (N) of Subwavelength Ridges a

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