Abstract

We describe the fabrication and optical transmission of two-dimensional periodic dielectric structures with photonic band gaps in the near infrared. The structures consist of triangular arrays of air cylinders embedded in a glass matrix, with center-to-center nearest-neighbor separations between 1.08 and 0.73 μm. The band gaps corresponding to the first Brillouin zone’s boundaries occur at wavelengths between 2.5 and 1.1 μm. For each array size, the band gaps along the two high-symmetry propagation directions are spectrally overlapped for light polarized perpendicular to the cylinder axes. The observed positions, widths, and polarization dependence of the band gaps are in good agreement with theoretical calculations.

© 1996 Optical Society of America

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  1. E. Yablonovitch, T. J. GmitterPhys. Rev. Lett. 63, 1950 (1989).
    [CrossRef] [PubMed]
  2. W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. JoannopoulosPhys. Rev. Lett. 68, 2023 (1992).
    [CrossRef] [PubMed]
  3. D. R. Smith, S. Schultz, S. L. McCall, P. M. PlatzmannJ. Mod. Opt. 41, 395 (1994).
    [CrossRef]
  4. E. YablonovitchPhys. Rev. Lett. 58, 2059 (1987).
    [CrossRef] [PubMed]
  5. J. Martorell, N. M. LawandyPhys. Rev. Lett. 65, 1877 (1990).
    [CrossRef] [PubMed]
  6. K. SakodaPhys. Rev. B 52, 8992 (1995), and references therein.
    [CrossRef]
  7. K. Inoue, M. Wada, K. Sakoda, A. Yamanaka, M. Hayashi, J. W. HausJpn. J. Appl. Phys. 33, L1463 (1994).
    [CrossRef]
  8. R. J. Tonucci, B. L. Justus, A. J. Campillo, C. E. FordScience 258, 783 (1992).
    [CrossRef] [PubMed]
  9. M. Plihal, A. A. MaradudinPhys. Rev. B 44, 8565 (1991).
    [CrossRef]
  10. P. R. Villeneuve, M. PichéPhys. Rev. B 46, 4969 (1992).
    [CrossRef]

1995 (1)

K. SakodaPhys. Rev. B 52, 8992 (1995), and references therein.
[CrossRef]

1994 (2)

K. Inoue, M. Wada, K. Sakoda, A. Yamanaka, M. Hayashi, J. W. HausJpn. J. Appl. Phys. 33, L1463 (1994).
[CrossRef]

D. R. Smith, S. Schultz, S. L. McCall, P. M. PlatzmannJ. Mod. Opt. 41, 395 (1994).
[CrossRef]

1992 (3)

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. JoannopoulosPhys. Rev. Lett. 68, 2023 (1992).
[CrossRef] [PubMed]

R. J. Tonucci, B. L. Justus, A. J. Campillo, C. E. FordScience 258, 783 (1992).
[CrossRef] [PubMed]

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

1991 (1)

M. Plihal, A. A. MaradudinPhys. Rev. B 44, 8565 (1991).
[CrossRef]

1990 (1)

J. Martorell, N. M. LawandyPhys. Rev. Lett. 65, 1877 (1990).
[CrossRef] [PubMed]

1989 (1)

E. Yablonovitch, T. J. GmitterPhys. Rev. Lett. 63, 1950 (1989).
[CrossRef] [PubMed]

1987 (1)

E. YablonovitchPhys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

Arjavalingam, G.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. JoannopoulosPhys. Rev. Lett. 68, 2023 (1992).
[CrossRef] [PubMed]

Brommer, K. D.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. JoannopoulosPhys. Rev. Lett. 68, 2023 (1992).
[CrossRef] [PubMed]

Campillo, A. J.

R. J. Tonucci, B. L. Justus, A. J. Campillo, C. E. FordScience 258, 783 (1992).
[CrossRef] [PubMed]

Ford, C. E.

R. J. Tonucci, B. L. Justus, A. J. Campillo, C. E. FordScience 258, 783 (1992).
[CrossRef] [PubMed]

Gmitter, T. J.

E. Yablonovitch, T. J. GmitterPhys. Rev. Lett. 63, 1950 (1989).
[CrossRef] [PubMed]

Haus, J. W.

K. Inoue, M. Wada, K. Sakoda, A. Yamanaka, M. Hayashi, J. W. HausJpn. J. Appl. Phys. 33, L1463 (1994).
[CrossRef]

Hayashi, M.

K. Inoue, M. Wada, K. Sakoda, A. Yamanaka, M. Hayashi, J. W. HausJpn. J. Appl. Phys. 33, L1463 (1994).
[CrossRef]

Inoue, K.

K. Inoue, M. Wada, K. Sakoda, A. Yamanaka, M. Hayashi, J. W. HausJpn. J. Appl. Phys. 33, L1463 (1994).
[CrossRef]

Joannopoulos, J. D.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. JoannopoulosPhys. Rev. Lett. 68, 2023 (1992).
[CrossRef] [PubMed]

Justus, B. L.

R. J. Tonucci, B. L. Justus, A. J. Campillo, C. E. FordScience 258, 783 (1992).
[CrossRef] [PubMed]

Lawandy, N. M.

J. Martorell, N. M. LawandyPhys. Rev. Lett. 65, 1877 (1990).
[CrossRef] [PubMed]

Maradudin, A. A.

M. Plihal, A. A. MaradudinPhys. Rev. B 44, 8565 (1991).
[CrossRef]

Martorell, J.

J. Martorell, N. M. LawandyPhys. Rev. Lett. 65, 1877 (1990).
[CrossRef] [PubMed]

McCall, S. L.

D. R. Smith, S. Schultz, S. L. McCall, P. M. PlatzmannJ. Mod. Opt. 41, 395 (1994).
[CrossRef]

Meade, R. D.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. JoannopoulosPhys. Rev. Lett. 68, 2023 (1992).
[CrossRef] [PubMed]

Piché, M.

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

Platzmann, P. M.

D. R. Smith, S. Schultz, S. L. McCall, P. M. PlatzmannJ. Mod. Opt. 41, 395 (1994).
[CrossRef]

Plihal, M.

M. Plihal, A. A. MaradudinPhys. Rev. B 44, 8565 (1991).
[CrossRef]

Rappe, A. M.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. JoannopoulosPhys. Rev. Lett. 68, 2023 (1992).
[CrossRef] [PubMed]

Robertson, W. M.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. JoannopoulosPhys. Rev. Lett. 68, 2023 (1992).
[CrossRef] [PubMed]

Sakoda, K.

K. SakodaPhys. Rev. B 52, 8992 (1995), and references therein.
[CrossRef]

K. Inoue, M. Wada, K. Sakoda, A. Yamanaka, M. Hayashi, J. W. HausJpn. J. Appl. Phys. 33, L1463 (1994).
[CrossRef]

Schultz, S.

D. R. Smith, S. Schultz, S. L. McCall, P. M. PlatzmannJ. Mod. Opt. 41, 395 (1994).
[CrossRef]

Smith, D. R.

D. R. Smith, S. Schultz, S. L. McCall, P. M. PlatzmannJ. Mod. Opt. 41, 395 (1994).
[CrossRef]

Tonucci, R. J.

R. J. Tonucci, B. L. Justus, A. J. Campillo, C. E. FordScience 258, 783 (1992).
[CrossRef] [PubMed]

Villeneuve, P. R.

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

Wada, M.

K. Inoue, M. Wada, K. Sakoda, A. Yamanaka, M. Hayashi, J. W. HausJpn. J. Appl. Phys. 33, L1463 (1994).
[CrossRef]

Yablonovitch, E.

E. Yablonovitch, T. J. GmitterPhys. Rev. Lett. 63, 1950 (1989).
[CrossRef] [PubMed]

E. YablonovitchPhys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

Yamanaka, A.

K. Inoue, M. Wada, K. Sakoda, A. Yamanaka, M. Hayashi, J. W. HausJpn. J. Appl. Phys. 33, L1463 (1994).
[CrossRef]

J. Mod. Opt. (1)

D. R. Smith, S. Schultz, S. L. McCall, P. M. PlatzmannJ. Mod. Opt. 41, 395 (1994).
[CrossRef]

Jpn. J. Appl. Phys. (1)

K. Inoue, M. Wada, K. Sakoda, A. Yamanaka, M. Hayashi, J. W. HausJpn. J. Appl. Phys. 33, L1463 (1994).
[CrossRef]

Phys. Rev. B (3)

M. Plihal, A. A. MaradudinPhys. Rev. B 44, 8565 (1991).
[CrossRef]

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

K. SakodaPhys. Rev. B 52, 8992 (1995), and references therein.
[CrossRef]

Phys. Rev. Lett. (4)

E. YablonovitchPhys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

J. Martorell, N. M. LawandyPhys. Rev. Lett. 65, 1877 (1990).
[CrossRef] [PubMed]

E. Yablonovitch, T. J. GmitterPhys. Rev. Lett. 63, 1950 (1989).
[CrossRef] [PubMed]

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, J. D. JoannopoulosPhys. Rev. Lett. 68, 2023 (1992).
[CrossRef] [PubMed]

Science (1)

R. J. Tonucci, B. L. Justus, A. J. Campillo, C. E. FordScience 258, 783 (1992).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

Transmission spectra of a NCG sample before etching (dotted curve) and after etching (solid curve) for a sample with 0.64-μm-diameter channels. The incidence direction (k) is parallel to the channel axes, as shown in the inset (not drawn to scale). A wavelength scale is included at the top for reference.

Fig. 2
Fig. 2

Geometry of the periodic dielectric structures. (a) Cross-sectional view of a plane perpendicular to the cylinder axes. (b) The first Brillouin zone corresponding to this geometry, including the two high-symmetry points, X ¯ and J ¯. (c) Schematic view (not drawn to scale) of a typical sample used for the photonic band-gap measurements. The incidence direction is denoted k, and the two distinct polarizations are denoted E and H.

Fig. 3
Fig. 3

Transmission spectra of a series of samples with spacing (a) of 1.08, 0.96, and 0.73 μm for propagation along Γ ¯ X ¯. The solid (dotted) curves are for the E (H) polarization. For clarity, the curves for consecutive sizes are displaced vertically by one division. The photonic band gaps associated with the first Brillouin zone are marked ①, and those associated with the second zone are marked ②. The strong OH absorption band is identified in all spectra. A wavelength scale is included at the top for reference.

Fig. 4
Fig. 4

Same as Fig. 3 but for propagation along Γ ¯ J ¯.

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