Abstract

By considering waves that propagate out of the transverse plane, we show that common high-index materials (e.g., GaAs) with a two-dimensional array of air holes can act in some ways as three-dimensional photonic band-gap structures. In particular, we describe a dielectric quasi-metal that reflects all propagating light incident from free space.

© 1996 Optical Society of America

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References

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  1. E. Yablonovitch, J. Opt. Soc. Am. B 10, 283 (1993).
    [CrossRef]
  2. R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, Appl. Phys. Lett. 61, 495 (1992).
    [CrossRef]
  3. P. R. Villeneuve, M. Piché, Phys. Rev. B 46, 4969 (1992).
    [CrossRef]
  4. A. A. Maradudin, A. R. McGurn, J. Mod. Opt. 41, 275 (1994).
    [CrossRef]
  5. K. M. Ho, C. T. Chan, C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
    [CrossRef] [PubMed]
  6. J. B. Pendry, J. Mod. Opt. 41, 209 (1994).
    [CrossRef]

1994 (2)

A. A. Maradudin, A. R. McGurn, J. Mod. Opt. 41, 275 (1994).
[CrossRef]

J. B. Pendry, J. Mod. Opt. 41, 209 (1994).
[CrossRef]

1993 (1)

1992 (2)

R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, Appl. Phys. Lett. 61, 495 (1992).
[CrossRef]

P. R. Villeneuve, M. Piché, Phys. Rev. B 46, 4969 (1992).
[CrossRef]

1990 (1)

K. M. Ho, C. T. Chan, C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
[CrossRef] [PubMed]

Brommer, K. D.

R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, Appl. Phys. Lett. 61, 495 (1992).
[CrossRef]

Chan, C. T.

K. M. Ho, C. T. Chan, C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
[CrossRef] [PubMed]

Ho, K. M.

K. M. Ho, C. T. Chan, C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
[CrossRef] [PubMed]

Joannopoulos, J. D.

R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, Appl. Phys. Lett. 61, 495 (1992).
[CrossRef]

Maradudin, A. A.

A. A. Maradudin, A. R. McGurn, J. Mod. Opt. 41, 275 (1994).
[CrossRef]

McGurn, A. R.

A. A. Maradudin, A. R. McGurn, J. Mod. Opt. 41, 275 (1994).
[CrossRef]

Meade, R. D.

R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, Appl. Phys. Lett. 61, 495 (1992).
[CrossRef]

Pendry, J. B.

J. B. Pendry, J. Mod. Opt. 41, 209 (1994).
[CrossRef]

Piché, M.

P. R. Villeneuve, M. Piché, Phys. Rev. B 46, 4969 (1992).
[CrossRef]

Rappe, A. M.

R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, Appl. Phys. Lett. 61, 495 (1992).
[CrossRef]

Soukoulis, C. M.

K. M. Ho, C. T. Chan, C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
[CrossRef] [PubMed]

Villeneuve, P. R.

P. R. Villeneuve, M. Piché, Phys. Rev. B 46, 4969 (1992).
[CrossRef]

Yablonovitch, E.

Appl. Phys. Lett. (1)

R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. Joannopoulos, Appl. Phys. Lett. 61, 495 (1992).
[CrossRef]

J. Mod. Opt. (2)

A. A. Maradudin, A. R. McGurn, J. Mod. Opt. 41, 275 (1994).
[CrossRef]

J. B. Pendry, J. Mod. Opt. 41, 209 (1994).
[CrossRef]

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

Phys. Rev. B (1)

P. R. Villeneuve, M. Piché, Phys. Rev. B 46, 4969 (1992).
[CrossRef]

Phys. Rev. Lett. (1)

K. M. Ho, C. T. Chan, C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
[CrossRef] [PubMed]

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Figures (2)

Fig. 1
Fig. 1

First 2D PBG (shaded) of (a) GaAs/air and (b) Ge/air photonic crystals described in the text. States to the right of the line β = k are forbidden in air. The dashed lines therefore mark a frequency range for which no propagating waves are excited within the photonic crystal, for propagating waves of any direction or polarization state incident from air upon a plane-parallel interface.

Fig. 2
Fig. 2

Maximum total transmitted intensity T, in decibels, through 10 layers of the structure of Fig. 1(a). The truncation surfaces are shown in the inset.

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