Abstract

We show that modes in a photonic crystal slab that are uncoupled to outside radiation in a symmetric structure can be excited by breaking the mirror symmetry through introducing a protrusion on the side of the photonic crystal holes. We show that coupling to these resonances can be controlled by the strength of this asymmetry, and that it is also possible to choose among modes to couple to, through the shape of the asymmetry introduced. We provide simple theoretical arguments that explain the effect, and present eigenmode simulations and time-domain simulations. We confirm this predicted behavior with measurements on a photonic crystal with a broken mirror symmetry that exhibits an additional sharp resonant feature with a linewidth of 0.5 nm, in agreement with both calculated and simulated predictions.

© 2008 Optical Society of America

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  1. V. N. Astratov, D. M. Whittaker, I. S. Culshaw, R. M. Stevenson, M. S. Skolnick, T. F. Krauss, and R. M. De La Rue, "Photonic band-structure effects in the reflectivity of periodically patterned waveguides," Phys. Rev. B 60, R16255 (1999).
    [CrossRef]
  2. S. Fan and J. D. Joannopoulos, "Analysis of guided resonances in photonic crystal slabs," Phys. Rev. B 65, 235112 (2002).
    [CrossRef]
  3. O. Kilic, S. Kim, W. Suh, Y. Peter, A. Sudbø, M. Yanik, S. Fan, and O. Solgaard, "Photonic crystal slabs demonstrating strong broadband suppression of transmission in the presence of disorders," Opt. Lett. 29, 2782 (2004).
    [CrossRef]
  4. K. B. Crozier, V. Lousse, O. Kilic, S. Kim, S. Fan, and O. Solgaard, "Air-bridged photonic crystal slabs at visible and near-infrared wavelength," Phys. Rev. B 73, 115126 (2006).
    [CrossRef]
  5. W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of photonic band structure in a two-dimensional periodic dielectric array," Phys. Rev. Lett. 68, 2023 (1992).
    [CrossRef]
  6. W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays," J. Opt. Soc. Am. B 10, 322 (1993).
  7. M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
    [CrossRef]
  8. K. Sakoda, "Symmetry, degeneracy, and uncoupled modes in two-dimensional photonic lattices," Phys. Rev. B 52, 7982 (1995).
    [CrossRef]
  9. K. Ohtaka and Y. Tanabe, "Photonic bands using vector spherical waves. III. Group-theoretical treatment," J. Phys. Soc. Jpn. 65, 2670 (1996).
    [CrossRef]
  10. V. Karathanos, "Inactive frequency bands in photonic crystals," J. Mod. Opt. 45, 1751 (1998).
  11. V. Pacradouni, W. J. Mandeville, A. R. Crown, P. Paddon, J. F. Young, and S. R. Johnson, "Photonic band structure of dielectric membranes periodically textured in two dimensions," Phys. Rev. B 62, 4204 (2000).
    [CrossRef]
  12. P. Paddon and J. F. Young, "Two-dimensional vector-coupled-mode theory for textured planar waveguides," Phys. Rev. B 61, 2090 (2000).
    [CrossRef]
  13. T. Ochiai and K. Sakoda, "Dispersion relation and optical transmittance of a hexagonal photonic crystal slab," Phys. Rev. B 63, 125107 (2001).
    [CrossRef]
  14. K. Srinivasan, O. Painter, R. Colombelli, C. Gmachl, D. M. Tennant, A. M. Sergent, M. Troccoli, and F. Capasso, "Lasing mode pattern of a quantum cascade photonic crystal surface-emitting microcavity laser," Appl. Phys. Lett. 84, 4146 (2004).
    [CrossRef]
  15. A.-L. Fehrembach and A. Sentenac, "Unpolarized narrow-band filtering with resonant gratings," Appl. Phys. Lett. 86, 121105 (2005).
    [CrossRef]
  16. O. Painter and K. Srinivasan, "Localized defect states in two-dimensional photonic crystal slab waveguides: A simple model based upon symmetry analysis," Phys. Rev. B 68, 035110 (2003).
    [CrossRef]
  17. K. Srinivasan and O. Painter, "Momentum space design of high-Q photonic crystal optical cavities," Opt. Express 10, 670 (2002).
  18. T. Ito and K. Sakoda, "Photonic bands of metallic systems. II. Features of surface plasmon polaritons," Phys. Rev. B 64, 045117 (2001).
    [CrossRef]
  19. R. Wang, X-H. Wang, B-Y. Gu, and G-Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307 (2001).
    [CrossRef]
  20. R. Padjen, J. M. Gerard, and J. Y. Marzin, "Analysis of the filling pattern dependence of the photonic bandgap for two-dimensional systems," J. Mod. Opt. 41, 295 (1994).
    [CrossRef]
  21. S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173 (2001).
  22. W. Hergert and M. Däne, "Group theoretical investigations of photonic band structures," Phys. Status Solidi A 197, 620 (2003).
    [CrossRef]
  23. O. Kilic, M. Digonnet, G. Kino, and O. Solgaard, "External fibre Fabry-Perot acoustic sensor based on a photonic-crystal mirror," Meas. Sci. Technol. 18, 3049 (2007).
    [CrossRef]
  24. H. Takeda and K. Yoshino, "Disappearances of uncoupled modes in two-dimensional photonic crystals due to anisotropies of liquid crystals," Phys. Rev. E 67, 056612 (2003).
    [CrossRef]

2007 (1)

O. Kilic, M. Digonnet, G. Kino, and O. Solgaard, "External fibre Fabry-Perot acoustic sensor based on a photonic-crystal mirror," Meas. Sci. Technol. 18, 3049 (2007).
[CrossRef]

2006 (1)

K. B. Crozier, V. Lousse, O. Kilic, S. Kim, S. Fan, and O. Solgaard, "Air-bridged photonic crystal slabs at visible and near-infrared wavelength," Phys. Rev. B 73, 115126 (2006).
[CrossRef]

2005 (1)

A.-L. Fehrembach and A. Sentenac, "Unpolarized narrow-band filtering with resonant gratings," Appl. Phys. Lett. 86, 121105 (2005).
[CrossRef]

2004 (2)

K. Srinivasan, O. Painter, R. Colombelli, C. Gmachl, D. M. Tennant, A. M. Sergent, M. Troccoli, and F. Capasso, "Lasing mode pattern of a quantum cascade photonic crystal surface-emitting microcavity laser," Appl. Phys. Lett. 84, 4146 (2004).
[CrossRef]

O. Kilic, S. Kim, W. Suh, Y. Peter, A. Sudbø, M. Yanik, S. Fan, and O. Solgaard, "Photonic crystal slabs demonstrating strong broadband suppression of transmission in the presence of disorders," Opt. Lett. 29, 2782 (2004).
[CrossRef]

2003 (3)

H. Takeda and K. Yoshino, "Disappearances of uncoupled modes in two-dimensional photonic crystals due to anisotropies of liquid crystals," Phys. Rev. E 67, 056612 (2003).
[CrossRef]

O. Painter and K. Srinivasan, "Localized defect states in two-dimensional photonic crystal slab waveguides: A simple model based upon symmetry analysis," Phys. Rev. B 68, 035110 (2003).
[CrossRef]

W. Hergert and M. Däne, "Group theoretical investigations of photonic band structures," Phys. Status Solidi A 197, 620 (2003).
[CrossRef]

2002 (3)

S. Fan and J. D. Joannopoulos, "Analysis of guided resonances in photonic crystal slabs," Phys. Rev. B 65, 235112 (2002).
[CrossRef]

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

K. Srinivasan and O. Painter, "Momentum space design of high-Q photonic crystal optical cavities," Opt. Express 10, 670 (2002).

2001 (4)

S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173 (2001).

T. Ochiai and K. Sakoda, "Dispersion relation and optical transmittance of a hexagonal photonic crystal slab," Phys. Rev. B 63, 125107 (2001).
[CrossRef]

T. Ito and K. Sakoda, "Photonic bands of metallic systems. II. Features of surface plasmon polaritons," Phys. Rev. B 64, 045117 (2001).
[CrossRef]

R. Wang, X-H. Wang, B-Y. Gu, and G-Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307 (2001).
[CrossRef]

2000 (2)

V. Pacradouni, W. J. Mandeville, A. R. Crown, P. Paddon, J. F. Young, and S. R. Johnson, "Photonic band structure of dielectric membranes periodically textured in two dimensions," Phys. Rev. B 62, 4204 (2000).
[CrossRef]

P. Paddon and J. F. Young, "Two-dimensional vector-coupled-mode theory for textured planar waveguides," Phys. Rev. B 61, 2090 (2000).
[CrossRef]

1999 (1)

V. N. Astratov, D. M. Whittaker, I. S. Culshaw, R. M. Stevenson, M. S. Skolnick, T. F. Krauss, and R. M. De La Rue, "Photonic band-structure effects in the reflectivity of periodically patterned waveguides," Phys. Rev. B 60, R16255 (1999).
[CrossRef]

1998 (1)

V. Karathanos, "Inactive frequency bands in photonic crystals," J. Mod. Opt. 45, 1751 (1998).

1996 (1)

K. Ohtaka and Y. Tanabe, "Photonic bands using vector spherical waves. III. Group-theoretical treatment," J. Phys. Soc. Jpn. 65, 2670 (1996).
[CrossRef]

1995 (1)

K. Sakoda, "Symmetry, degeneracy, and uncoupled modes in two-dimensional photonic lattices," Phys. Rev. B 52, 7982 (1995).
[CrossRef]

1994 (1)

R. Padjen, J. M. Gerard, and J. Y. Marzin, "Analysis of the filling pattern dependence of the photonic bandgap for two-dimensional systems," J. Mod. Opt. 41, 295 (1994).
[CrossRef]

1993 (1)

1992 (1)

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of photonic band structure in a two-dimensional periodic dielectric array," Phys. Rev. Lett. 68, 2023 (1992).
[CrossRef]

Agio, M.

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

Andreani, L. C.

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

Arjavalingam, G.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays," J. Opt. Soc. Am. B 10, 322 (1993).

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of photonic band structure in a two-dimensional periodic dielectric array," Phys. Rev. Lett. 68, 2023 (1992).
[CrossRef]

Astratov, V. N.

V. N. Astratov, D. M. Whittaker, I. S. Culshaw, R. M. Stevenson, M. S. Skolnick, T. F. Krauss, and R. M. De La Rue, "Photonic band-structure effects in the reflectivity of periodically patterned waveguides," Phys. Rev. B 60, R16255 (1999).
[CrossRef]

Bellutti, P.

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

Belotti, M.

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

Bettotti, P.

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

Brommer, K. D.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays," J. Opt. Soc. Am. B 10, 322 (1993).

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of photonic band structure in a two-dimensional periodic dielectric array," Phys. Rev. Lett. 68, 2023 (1992).
[CrossRef]

Capasso, F.

K. Srinivasan, O. Painter, R. Colombelli, C. Gmachl, D. M. Tennant, A. M. Sergent, M. Troccoli, and F. Capasso, "Lasing mode pattern of a quantum cascade photonic crystal surface-emitting microcavity laser," Appl. Phys. Lett. 84, 4146 (2004).
[CrossRef]

Colombelli, R.

K. Srinivasan, O. Painter, R. Colombelli, C. Gmachl, D. M. Tennant, A. M. Sergent, M. Troccoli, and F. Capasso, "Lasing mode pattern of a quantum cascade photonic crystal surface-emitting microcavity laser," Appl. Phys. Lett. 84, 4146 (2004).
[CrossRef]

Crown, A. R.

V. Pacradouni, W. J. Mandeville, A. R. Crown, P. Paddon, J. F. Young, and S. R. Johnson, "Photonic band structure of dielectric membranes periodically textured in two dimensions," Phys. Rev. B 62, 4204 (2000).
[CrossRef]

Crozier, K. B.

K. B. Crozier, V. Lousse, O. Kilic, S. Kim, S. Fan, and O. Solgaard, "Air-bridged photonic crystal slabs at visible and near-infrared wavelength," Phys. Rev. B 73, 115126 (2006).
[CrossRef]

Culshaw, I. S.

V. N. Astratov, D. M. Whittaker, I. S. Culshaw, R. M. Stevenson, M. S. Skolnick, T. F. Krauss, and R. M. De La Rue, "Photonic band-structure effects in the reflectivity of periodically patterned waveguides," Phys. Rev. B 60, R16255 (1999).
[CrossRef]

Dal Negro, L.

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

Däne, M.

W. Hergert and M. Däne, "Group theoretical investigations of photonic band structures," Phys. Status Solidi A 197, 620 (2003).
[CrossRef]

De La Rue, R. M.

V. N. Astratov, D. M. Whittaker, I. S. Culshaw, R. M. Stevenson, M. S. Skolnick, T. F. Krauss, and R. M. De La Rue, "Photonic band-structure effects in the reflectivity of periodically patterned waveguides," Phys. Rev. B 60, R16255 (1999).
[CrossRef]

Digonnet, M.

O. Kilic, M. Digonnet, G. Kino, and O. Solgaard, "External fibre Fabry-Perot acoustic sensor based on a photonic-crystal mirror," Meas. Sci. Technol. 18, 3049 (2007).
[CrossRef]

Fan, S.

K. B. Crozier, V. Lousse, O. Kilic, S. Kim, S. Fan, and O. Solgaard, "Air-bridged photonic crystal slabs at visible and near-infrared wavelength," Phys. Rev. B 73, 115126 (2006).
[CrossRef]

O. Kilic, S. Kim, W. Suh, Y. Peter, A. Sudbø, M. Yanik, S. Fan, and O. Solgaard, "Photonic crystal slabs demonstrating strong broadband suppression of transmission in the presence of disorders," Opt. Lett. 29, 2782 (2004).
[CrossRef]

S. Fan and J. D. Joannopoulos, "Analysis of guided resonances in photonic crystal slabs," Phys. Rev. B 65, 235112 (2002).
[CrossRef]

Fehrembach, A.-L.

A.-L. Fehrembach and A. Sentenac, "Unpolarized narrow-band filtering with resonant gratings," Appl. Phys. Lett. 86, 121105 (2005).
[CrossRef]

Gaburro, Z.

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

Galli, M.

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

Gerard, J. M.

R. Padjen, J. M. Gerard, and J. Y. Marzin, "Analysis of the filling pattern dependence of the photonic bandgap for two-dimensional systems," J. Mod. Opt. 41, 295 (1994).
[CrossRef]

Gmachl, C.

K. Srinivasan, O. Painter, R. Colombelli, C. Gmachl, D. M. Tennant, A. M. Sergent, M. Troccoli, and F. Capasso, "Lasing mode pattern of a quantum cascade photonic crystal surface-emitting microcavity laser," Appl. Phys. Lett. 84, 4146 (2004).
[CrossRef]

Gu, B-Y.

R. Wang, X-H. Wang, B-Y. Gu, and G-Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307 (2001).
[CrossRef]

Guizzetti, G.

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

Hergert, W.

W. Hergert and M. Däne, "Group theoretical investigations of photonic band structures," Phys. Status Solidi A 197, 620 (2003).
[CrossRef]

Ito, T.

T. Ito and K. Sakoda, "Photonic bands of metallic systems. II. Features of surface plasmon polaritons," Phys. Rev. B 64, 045117 (2001).
[CrossRef]

Joannopoulos, J. D.

S. Fan and J. D. Joannopoulos, "Analysis of guided resonances in photonic crystal slabs," Phys. Rev. B 65, 235112 (2002).
[CrossRef]

S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173 (2001).

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays," J. Opt. Soc. Am. B 10, 322 (1993).

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of photonic band structure in a two-dimensional periodic dielectric array," Phys. Rev. Lett. 68, 2023 (1992).
[CrossRef]

Johnson, S. G.

Johnson, S. R.

V. Pacradouni, W. J. Mandeville, A. R. Crown, P. Paddon, J. F. Young, and S. R. Johnson, "Photonic band structure of dielectric membranes periodically textured in two dimensions," Phys. Rev. B 62, 4204 (2000).
[CrossRef]

Karathanos, V.

V. Karathanos, "Inactive frequency bands in photonic crystals," J. Mod. Opt. 45, 1751 (1998).

Kilic, O.

O. Kilic, M. Digonnet, G. Kino, and O. Solgaard, "External fibre Fabry-Perot acoustic sensor based on a photonic-crystal mirror," Meas. Sci. Technol. 18, 3049 (2007).
[CrossRef]

K. B. Crozier, V. Lousse, O. Kilic, S. Kim, S. Fan, and O. Solgaard, "Air-bridged photonic crystal slabs at visible and near-infrared wavelength," Phys. Rev. B 73, 115126 (2006).
[CrossRef]

O. Kilic, S. Kim, W. Suh, Y. Peter, A. Sudbø, M. Yanik, S. Fan, and O. Solgaard, "Photonic crystal slabs demonstrating strong broadband suppression of transmission in the presence of disorders," Opt. Lett. 29, 2782 (2004).
[CrossRef]

Kim, S.

K. B. Crozier, V. Lousse, O. Kilic, S. Kim, S. Fan, and O. Solgaard, "Air-bridged photonic crystal slabs at visible and near-infrared wavelength," Phys. Rev. B 73, 115126 (2006).
[CrossRef]

O. Kilic, S. Kim, W. Suh, Y. Peter, A. Sudbø, M. Yanik, S. Fan, and O. Solgaard, "Photonic crystal slabs demonstrating strong broadband suppression of transmission in the presence of disorders," Opt. Lett. 29, 2782 (2004).
[CrossRef]

Kino, G.

O. Kilic, M. Digonnet, G. Kino, and O. Solgaard, "External fibre Fabry-Perot acoustic sensor based on a photonic-crystal mirror," Meas. Sci. Technol. 18, 3049 (2007).
[CrossRef]

Krauss, T. F.

V. N. Astratov, D. M. Whittaker, I. S. Culshaw, R. M. Stevenson, M. S. Skolnick, T. F. Krauss, and R. M. De La Rue, "Photonic band-structure effects in the reflectivity of periodically patterned waveguides," Phys. Rev. B 60, R16255 (1999).
[CrossRef]

Lousse, V.

K. B. Crozier, V. Lousse, O. Kilic, S. Kim, S. Fan, and O. Solgaard, "Air-bridged photonic crystal slabs at visible and near-infrared wavelength," Phys. Rev. B 73, 115126 (2006).
[CrossRef]

Lui, A.

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

Mandeville, W. J.

V. Pacradouni, W. J. Mandeville, A. R. Crown, P. Paddon, J. F. Young, and S. R. Johnson, "Photonic band structure of dielectric membranes periodically textured in two dimensions," Phys. Rev. B 62, 4204 (2000).
[CrossRef]

Marabelli, F.

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

Marzin, J. Y.

R. Padjen, J. M. Gerard, and J. Y. Marzin, "Analysis of the filling pattern dependence of the photonic bandgap for two-dimensional systems," J. Mod. Opt. 41, 295 (1994).
[CrossRef]

Meade, R. D.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays," J. Opt. Soc. Am. B 10, 322 (1993).

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of photonic band structure in a two-dimensional periodic dielectric array," Phys. Rev. Lett. 68, 2023 (1992).
[CrossRef]

Ochiai, T.

T. Ochiai and K. Sakoda, "Dispersion relation and optical transmittance of a hexagonal photonic crystal slab," Phys. Rev. B 63, 125107 (2001).
[CrossRef]

Ohtaka, K.

K. Ohtaka and Y. Tanabe, "Photonic bands using vector spherical waves. III. Group-theoretical treatment," J. Phys. Soc. Jpn. 65, 2670 (1996).
[CrossRef]

Pacradouni, V.

V. Pacradouni, W. J. Mandeville, A. R. Crown, P. Paddon, J. F. Young, and S. R. Johnson, "Photonic band structure of dielectric membranes periodically textured in two dimensions," Phys. Rev. B 62, 4204 (2000).
[CrossRef]

Paddon, P.

V. Pacradouni, W. J. Mandeville, A. R. Crown, P. Paddon, J. F. Young, and S. R. Johnson, "Photonic band structure of dielectric membranes periodically textured in two dimensions," Phys. Rev. B 62, 4204 (2000).
[CrossRef]

P. Paddon and J. F. Young, "Two-dimensional vector-coupled-mode theory for textured planar waveguides," Phys. Rev. B 61, 2090 (2000).
[CrossRef]

Padjen, R.

R. Padjen, J. M. Gerard, and J. Y. Marzin, "Analysis of the filling pattern dependence of the photonic bandgap for two-dimensional systems," J. Mod. Opt. 41, 295 (1994).
[CrossRef]

Painter, O.

K. Srinivasan, O. Painter, R. Colombelli, C. Gmachl, D. M. Tennant, A. M. Sergent, M. Troccoli, and F. Capasso, "Lasing mode pattern of a quantum cascade photonic crystal surface-emitting microcavity laser," Appl. Phys. Lett. 84, 4146 (2004).
[CrossRef]

O. Painter and K. Srinivasan, "Localized defect states in two-dimensional photonic crystal slab waveguides: A simple model based upon symmetry analysis," Phys. Rev. B 68, 035110 (2003).
[CrossRef]

K. Srinivasan and O. Painter, "Momentum space design of high-Q photonic crystal optical cavities," Opt. Express 10, 670 (2002).

Patrini, M.

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

Pavesi, L.

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

Peter, Y.

Rappe, A. M.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays," J. Opt. Soc. Am. B 10, 322 (1993).

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of photonic band structure in a two-dimensional periodic dielectric array," Phys. Rev. Lett. 68, 2023 (1992).
[CrossRef]

Robertson, W. M.

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of the photon dispersion relation in two-dimensional ordered dielectric arrays," J. Opt. Soc. Am. B 10, 322 (1993).

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of photonic band structure in a two-dimensional periodic dielectric array," Phys. Rev. Lett. 68, 2023 (1992).
[CrossRef]

Sakoda, K.

T. Ito and K. Sakoda, "Photonic bands of metallic systems. II. Features of surface plasmon polaritons," Phys. Rev. B 64, 045117 (2001).
[CrossRef]

T. Ochiai and K. Sakoda, "Dispersion relation and optical transmittance of a hexagonal photonic crystal slab," Phys. Rev. B 63, 125107 (2001).
[CrossRef]

K. Sakoda, "Symmetry, degeneracy, and uncoupled modes in two-dimensional photonic lattices," Phys. Rev. B 52, 7982 (1995).
[CrossRef]

Sentenac, A.

A.-L. Fehrembach and A. Sentenac, "Unpolarized narrow-band filtering with resonant gratings," Appl. Phys. Lett. 86, 121105 (2005).
[CrossRef]

Sergent, A. M.

K. Srinivasan, O. Painter, R. Colombelli, C. Gmachl, D. M. Tennant, A. M. Sergent, M. Troccoli, and F. Capasso, "Lasing mode pattern of a quantum cascade photonic crystal surface-emitting microcavity laser," Appl. Phys. Lett. 84, 4146 (2004).
[CrossRef]

Skolnick, M. S.

V. N. Astratov, D. M. Whittaker, I. S. Culshaw, R. M. Stevenson, M. S. Skolnick, T. F. Krauss, and R. M. De La Rue, "Photonic band-structure effects in the reflectivity of periodically patterned waveguides," Phys. Rev. B 60, R16255 (1999).
[CrossRef]

Solgaard, O.

O. Kilic, M. Digonnet, G. Kino, and O. Solgaard, "External fibre Fabry-Perot acoustic sensor based on a photonic-crystal mirror," Meas. Sci. Technol. 18, 3049 (2007).
[CrossRef]

K. B. Crozier, V. Lousse, O. Kilic, S. Kim, S. Fan, and O. Solgaard, "Air-bridged photonic crystal slabs at visible and near-infrared wavelength," Phys. Rev. B 73, 115126 (2006).
[CrossRef]

O. Kilic, S. Kim, W. Suh, Y. Peter, A. Sudbø, M. Yanik, S. Fan, and O. Solgaard, "Photonic crystal slabs demonstrating strong broadband suppression of transmission in the presence of disorders," Opt. Lett. 29, 2782 (2004).
[CrossRef]

Srinivasan, K.

K. Srinivasan, O. Painter, R. Colombelli, C. Gmachl, D. M. Tennant, A. M. Sergent, M. Troccoli, and F. Capasso, "Lasing mode pattern of a quantum cascade photonic crystal surface-emitting microcavity laser," Appl. Phys. Lett. 84, 4146 (2004).
[CrossRef]

O. Painter and K. Srinivasan, "Localized defect states in two-dimensional photonic crystal slab waveguides: A simple model based upon symmetry analysis," Phys. Rev. B 68, 035110 (2003).
[CrossRef]

K. Srinivasan and O. Painter, "Momentum space design of high-Q photonic crystal optical cavities," Opt. Express 10, 670 (2002).

Stevenson, R. M.

V. N. Astratov, D. M. Whittaker, I. S. Culshaw, R. M. Stevenson, M. S. Skolnick, T. F. Krauss, and R. M. De La Rue, "Photonic band-structure effects in the reflectivity of periodically patterned waveguides," Phys. Rev. B 60, R16255 (1999).
[CrossRef]

Sudbø, A.

Suh, W.

Takeda, H.

H. Takeda and K. Yoshino, "Disappearances of uncoupled modes in two-dimensional photonic crystals due to anisotropies of liquid crystals," Phys. Rev. E 67, 056612 (2003).
[CrossRef]

Tanabe, Y.

K. Ohtaka and Y. Tanabe, "Photonic bands using vector spherical waves. III. Group-theoretical treatment," J. Phys. Soc. Jpn. 65, 2670 (1996).
[CrossRef]

Tennant, D. M.

K. Srinivasan, O. Painter, R. Colombelli, C. Gmachl, D. M. Tennant, A. M. Sergent, M. Troccoli, and F. Capasso, "Lasing mode pattern of a quantum cascade photonic crystal surface-emitting microcavity laser," Appl. Phys. Lett. 84, 4146 (2004).
[CrossRef]

Troccoli, M.

K. Srinivasan, O. Painter, R. Colombelli, C. Gmachl, D. M. Tennant, A. M. Sergent, M. Troccoli, and F. Capasso, "Lasing mode pattern of a quantum cascade photonic crystal surface-emitting microcavity laser," Appl. Phys. Lett. 84, 4146 (2004).
[CrossRef]

Wang, R.

R. Wang, X-H. Wang, B-Y. Gu, and G-Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307 (2001).
[CrossRef]

Wang, X-H.

R. Wang, X-H. Wang, B-Y. Gu, and G-Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307 (2001).
[CrossRef]

Whittaker, D. M.

V. N. Astratov, D. M. Whittaker, I. S. Culshaw, R. M. Stevenson, M. S. Skolnick, T. F. Krauss, and R. M. De La Rue, "Photonic band-structure effects in the reflectivity of periodically patterned waveguides," Phys. Rev. B 60, R16255 (1999).
[CrossRef]

Yang, G-Z.

R. Wang, X-H. Wang, B-Y. Gu, and G-Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307 (2001).
[CrossRef]

Yanik, M.

Yoshino, K.

H. Takeda and K. Yoshino, "Disappearances of uncoupled modes in two-dimensional photonic crystals due to anisotropies of liquid crystals," Phys. Rev. E 67, 056612 (2003).
[CrossRef]

Young, J. F.

V. Pacradouni, W. J. Mandeville, A. R. Crown, P. Paddon, J. F. Young, and S. R. Johnson, "Photonic band structure of dielectric membranes periodically textured in two dimensions," Phys. Rev. B 62, 4204 (2000).
[CrossRef]

P. Paddon and J. F. Young, "Two-dimensional vector-coupled-mode theory for textured planar waveguides," Phys. Rev. B 61, 2090 (2000).
[CrossRef]

Appl. Phys. Lett. (2)

K. Srinivasan, O. Painter, R. Colombelli, C. Gmachl, D. M. Tennant, A. M. Sergent, M. Troccoli, and F. Capasso, "Lasing mode pattern of a quantum cascade photonic crystal surface-emitting microcavity laser," Appl. Phys. Lett. 84, 4146 (2004).
[CrossRef]

A.-L. Fehrembach and A. Sentenac, "Unpolarized narrow-band filtering with resonant gratings," Appl. Phys. Lett. 86, 121105 (2005).
[CrossRef]

J. Appl. Phys. (1)

R. Wang, X-H. Wang, B-Y. Gu, and G-Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. Appl. Phys. 90, 4307 (2001).
[CrossRef]

J. Mod. Opt. (2)

R. Padjen, J. M. Gerard, and J. Y. Marzin, "Analysis of the filling pattern dependence of the photonic bandgap for two-dimensional systems," J. Mod. Opt. 41, 295 (1994).
[CrossRef]

V. Karathanos, "Inactive frequency bands in photonic crystals," J. Mod. Opt. 45, 1751 (1998).

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

J. Phys. Soc. Jpn. (1)

K. Ohtaka and Y. Tanabe, "Photonic bands using vector spherical waves. III. Group-theoretical treatment," J. Phys. Soc. Jpn. 65, 2670 (1996).
[CrossRef]

Meas. Sci. Technol. (1)

O. Kilic, M. Digonnet, G. Kino, and O. Solgaard, "External fibre Fabry-Perot acoustic sensor based on a photonic-crystal mirror," Meas. Sci. Technol. 18, 3049 (2007).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. B (10)

T. Ito and K. Sakoda, "Photonic bands of metallic systems. II. Features of surface plasmon polaritons," Phys. Rev. B 64, 045117 (2001).
[CrossRef]

M. Galli, M. Agio, L. C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, "Spectroscopy of photonic bands in macroporous silicon photonic crystals," Phys. Rev. B 65, 113111 (2002).
[CrossRef]

K. Sakoda, "Symmetry, degeneracy, and uncoupled modes in two-dimensional photonic lattices," Phys. Rev. B 52, 7982 (1995).
[CrossRef]

V. Pacradouni, W. J. Mandeville, A. R. Crown, P. Paddon, J. F. Young, and S. R. Johnson, "Photonic band structure of dielectric membranes periodically textured in two dimensions," Phys. Rev. B 62, 4204 (2000).
[CrossRef]

P. Paddon and J. F. Young, "Two-dimensional vector-coupled-mode theory for textured planar waveguides," Phys. Rev. B 61, 2090 (2000).
[CrossRef]

T. Ochiai and K. Sakoda, "Dispersion relation and optical transmittance of a hexagonal photonic crystal slab," Phys. Rev. B 63, 125107 (2001).
[CrossRef]

O. Painter and K. Srinivasan, "Localized defect states in two-dimensional photonic crystal slab waveguides: A simple model based upon symmetry analysis," Phys. Rev. B 68, 035110 (2003).
[CrossRef]

V. N. Astratov, D. M. Whittaker, I. S. Culshaw, R. M. Stevenson, M. S. Skolnick, T. F. Krauss, and R. M. De La Rue, "Photonic band-structure effects in the reflectivity of periodically patterned waveguides," Phys. Rev. B 60, R16255 (1999).
[CrossRef]

S. Fan and J. D. Joannopoulos, "Analysis of guided resonances in photonic crystal slabs," Phys. Rev. B 65, 235112 (2002).
[CrossRef]

K. B. Crozier, V. Lousse, O. Kilic, S. Kim, S. Fan, and O. Solgaard, "Air-bridged photonic crystal slabs at visible and near-infrared wavelength," Phys. Rev. B 73, 115126 (2006).
[CrossRef]

Phys. Rev. E (1)

H. Takeda and K. Yoshino, "Disappearances of uncoupled modes in two-dimensional photonic crystals due to anisotropies of liquid crystals," Phys. Rev. E 67, 056612 (2003).
[CrossRef]

Phys. Rev. Lett. (1)

W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Measurement of photonic band structure in a two-dimensional periodic dielectric array," Phys. Rev. Lett. 68, 2023 (1992).
[CrossRef]

Phys. Status Solidi A (1)

W. Hergert and M. Däne, "Group theoretical investigations of photonic band structures," Phys. Status Solidi A 197, 620 (2003).
[CrossRef]

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