Abstract

Owing to optical refraction, external rays that are incident upon a high-refractive-index medium fall within a small internal cone angle. A one-dimensionally periodic Bragg structure can reflect over an angular acceptance range that is greater than the small internal refraction cone, if the internal refractive-index contrast is sufficient. Thus Winn et al. [Opt. Lett. (to be published)] charted the range of refractive indices at which omnidirectional external reflection occurs. A wide spectral gap requires a high-index contrast. It is proposed that, by chirping or grading the periodicity of the structure, one can cover an arbitrarily wide spectral range with only a modest index contrast and, furthermore, that arbitrary spectral shapes can be produced. The graded-periodicity approach requires only a modest index contrast, provided that the average refractive index is >2.

© 1998 Optical Society of America

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References

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  1. J. N. Winn, Y. Fink, S. Fan, and J. D. Joannopoulos, Opt. Lett. 23, 1573 (1998).
    [CrossRef]
  2. E. Yablonovitch, J. Opt. Soc. Am. B 10, 283 (1993).
    [CrossRef]
  3. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).
  4. A. Scherer, J. L. Jewell, and J. P. Harbison, Opt. Photon. News 2(12), 9 (1991).
    [CrossRef]
  5. P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).
  6. W. J. Gunning, “Rugate filter incorporating parallel and series addition,” U.S. patent4,952,025 (August28, 1990); W. E. Johnson and R. L. Crane, Proc. SPIE 2046, 88 (1993).
    [CrossRef]

1998 (1)

1993 (1)

1991 (1)

A. Scherer, J. L. Jewell, and J. P. Harbison, Opt. Photon. News 2(12), 9 (1991).
[CrossRef]

Fan, S.

Fink, Y.

Gunning, W. J.

W. J. Gunning, “Rugate filter incorporating parallel and series addition,” U.S. patent4,952,025 (August28, 1990); W. E. Johnson and R. L. Crane, Proc. SPIE 2046, 88 (1993).
[CrossRef]

Harbison, J. P.

A. Scherer, J. L. Jewell, and J. P. Harbison, Opt. Photon. News 2(12), 9 (1991).
[CrossRef]

Jewell, J. L.

A. Scherer, J. L. Jewell, and J. P. Harbison, Opt. Photon. News 2(12), 9 (1991).
[CrossRef]

Joannopoulos, J. D.

Scherer, A.

A. Scherer, J. L. Jewell, and J. P. Harbison, Opt. Photon. News 2(12), 9 (1991).
[CrossRef]

Winn, J. N.

Yablonovitch, E.

Yariv, A.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).

Yeh, P.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).

P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).

J. Opt. Soc. Am. B (1)

Opt. Lett. (1)

Opt. Photon. News (1)

A. Scherer, J. L. Jewell, and J. P. Harbison, Opt. Photon. News 2(12), 9 (1991).
[CrossRef]

Other (3)

P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).

W. J. Gunning, “Rugate filter incorporating parallel and series addition,” U.S. patent4,952,025 (August28, 1990); W. E. Johnson and R. L. Crane, Proc. SPIE 2046, 88 (1993).
[CrossRef]

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).

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Equations (6)

Equations on this page are rendered with MathJax. Learn more.

Δνgap/ν=2/πn1-n2/nav,
cos θ1-Δνgap/ν.
θ4πn1-n2nav1/2.
n1-n2π4nav.
Δνgap/ν1-cos θ12nav2.
Reflectivity=1-exp-2n1-n2navN,

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