Abstract

We propose subdiffractive all-photonic crystal Fabry–Perot resonators and study light propagation in this novel system. The photonic crystal in the cavity is tuned to the subdiffractive regime and the mirrors to the center of the photonic bandgap. We show that such all-photonic crystal resonators exhibit a broadband angular transmission at a fixed frequency and a high Q factor, resulting in a drastic reduction of the power threshold for all-optical switching.

© 2008 Optical Society of America

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  1. H. Kosaka, T. Kawasima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
    [CrossRef]
  2. R. Iliew, C. Etrich, and F. Lederer, Opt. Express 13, 7076 (2005).
    [CrossRef] [PubMed]
  3. J. Shin and S. Fan, Opt. Lett. 30, 2397 (2005).
    [CrossRef] [PubMed]
  4. Z. Lu, S. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, Phys. Rev. Lett. 96, 173902 (2006).
    [CrossRef] [PubMed]
  5. T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  7. R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tünnermann, Appl. Phys. Lett. 85, 5854 (2004).
    [CrossRef]
  8. D. W. Prather, S. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowski, Opt. Lett. 29, 50 (2004).
    [CrossRef] [PubMed]
  9. K. Staliunas and R. Herrero, Phys. Rev. E 73, 016601 (2006).
    [CrossRef]
  10. K. Staliunas, Y. Loiko, R. Herrero, C. Cojocaru, and J. Trull, Opt. Lett. 32, 1992 (2007).
    [CrossRef] [PubMed]
  11. K. Staliunas, R. Herrero, and G. J. de Valcarcel, Phys. Rev. E 73, 065603(R) (2006).
    [CrossRef]
  12. K. Staliunas, M. Peckus, and V. Sirutkaitis, Phys. Rev. A 76, 051803(R) (2007).
    [CrossRef]
  13. S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 173 (2001).
    [CrossRef] [PubMed]
  14. P. Lalanne, S. Mias, and J. P. Hugonin, Opt. Express 12, 458 (2004).
    [CrossRef] [PubMed]
  15. A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method (Artech House, 2005).

2007 (2)

2006 (3)

K. Staliunas, R. Herrero, and G. J. de Valcarcel, Phys. Rev. E 73, 065603(R) (2006).
[CrossRef]

K. Staliunas and R. Herrero, Phys. Rev. E 73, 016601 (2006).
[CrossRef]

Z. Lu, S. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, Phys. Rev. Lett. 96, 173902 (2006).
[CrossRef] [PubMed]

2005 (2)

2004 (3)

2003 (1)

2002 (1)

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

2001 (1)

1999 (1)

H. Kosaka, T. Kawasima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

Augustin, M.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tünnermann, Appl. Phys. Lett. 85, 5854 (2004).
[CrossRef]

Bräuer, A.

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Chen, C.

Chigrin, D. N.

Cojocaru, C.

de Valcarcel, G. J.

K. Staliunas, R. Herrero, and G. J. de Valcarcel, Phys. Rev. E 73, 065603(R) (2006).
[CrossRef]

Enoch, S.

Etrich, C.

R. Iliew, C. Etrich, and F. Lederer, Opt. Express 13, 7076 (2005).
[CrossRef] [PubMed]

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tünnermann, Appl. Phys. Lett. 85, 5854 (2004).
[CrossRef]

Fan, S.

Fuchs, H.-J.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tünnermann, Appl. Phys. Lett. 85, 5854 (2004).
[CrossRef]

Hagness, S. C.

A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method (Artech House, 2005).

Herrero, R.

K. Staliunas, Y. Loiko, R. Herrero, C. Cojocaru, and J. Trull, Opt. Lett. 32, 1992 (2007).
[CrossRef] [PubMed]

K. Staliunas, R. Herrero, and G. J. de Valcarcel, Phys. Rev. E 73, 065603(R) (2006).
[CrossRef]

K. Staliunas and R. Herrero, Phys. Rev. E 73, 016601 (2006).
[CrossRef]

Hugonin, J. P.

Iliew, R.

R. Iliew, C. Etrich, and F. Lederer, Opt. Express 13, 7076 (2005).
[CrossRef] [PubMed]

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tünnermann, Appl. Phys. Lett. 85, 5854 (2004).
[CrossRef]

Joannopoulos, J. D.

Johnson, S. G.

Kawakami, S.

H. Kosaka, T. Kawasima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

Kawasima, T.

H. Kosaka, T. Kawasima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

Kley, E.-B.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tünnermann, Appl. Phys. Lett. 85, 5854 (2004).
[CrossRef]

Kosaka, H.

H. Kosaka, T. Kawasima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

Lalanne, P.

Lederer, F.

R. Iliew, C. Etrich, and F. Lederer, Opt. Express 13, 7076 (2005).
[CrossRef] [PubMed]

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tünnermann, Appl. Phys. Lett. 85, 5854 (2004).
[CrossRef]

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Loiko, Y.

Lu, Z.

Z. Lu, S. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, Phys. Rev. Lett. 96, 173902 (2006).
[CrossRef] [PubMed]

Mias, S.

Murakowski, J.

Murakowski, J. A.

Z. Lu, S. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, Phys. Rev. Lett. 96, 173902 (2006).
[CrossRef] [PubMed]

Nolte, S.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tünnermann, Appl. Phys. Lett. 85, 5854 (2004).
[CrossRef]

Notomi, M.

H. Kosaka, T. Kawasima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

Peckus, M.

K. Staliunas, M. Peckus, and V. Sirutkaitis, Phys. Rev. A 76, 051803(R) (2007).
[CrossRef]

Pertsch, T.

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Peschel, U.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tünnermann, Appl. Phys. Lett. 85, 5854 (2004).
[CrossRef]

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Prather, D. W.

Z. Lu, S. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, Phys. Rev. Lett. 96, 173902 (2006).
[CrossRef] [PubMed]

D. W. Prather, S. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowski, Opt. Lett. 29, 50 (2004).
[CrossRef] [PubMed]

Pustai, D. M.

Sato, T.

H. Kosaka, T. Kawasima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

Schelle, D.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tünnermann, Appl. Phys. Lett. 85, 5854 (2004).
[CrossRef]

Schneider, G. J.

Z. Lu, S. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, Phys. Rev. Lett. 96, 173902 (2006).
[CrossRef] [PubMed]

D. W. Prather, S. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowski, Opt. Lett. 29, 50 (2004).
[CrossRef] [PubMed]

Schuetz, C. A.

Z. Lu, S. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, Phys. Rev. Lett. 96, 173902 (2006).
[CrossRef] [PubMed]

Sharkawy, A.

Shi, S.

Z. Lu, S. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, Phys. Rev. Lett. 96, 173902 (2006).
[CrossRef] [PubMed]

D. W. Prather, S. Shi, D. M. Pustai, C. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowski, Opt. Lett. 29, 50 (2004).
[CrossRef] [PubMed]

Shin, J.

Sirutkaitis, V.

K. Staliunas, M. Peckus, and V. Sirutkaitis, Phys. Rev. A 76, 051803(R) (2007).
[CrossRef]

Sotomayor Torres, C. M.

Staliunas, K.

K. Staliunas, Y. Loiko, R. Herrero, C. Cojocaru, and J. Trull, Opt. Lett. 32, 1992 (2007).
[CrossRef] [PubMed]

K. Staliunas, M. Peckus, and V. Sirutkaitis, Phys. Rev. A 76, 051803(R) (2007).
[CrossRef]

K. Staliunas, R. Herrero, and G. J. de Valcarcel, Phys. Rev. E 73, 065603(R) (2006).
[CrossRef]

K. Staliunas and R. Herrero, Phys. Rev. E 73, 016601 (2006).
[CrossRef]

Taflove, A.

A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method (Artech House, 2005).

Tamamura, T.

H. Kosaka, T. Kawasima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

Tayeb, G.

Tomita, A.

H. Kosaka, T. Kawasima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

Trull, J.

Tünnermann, A.

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tünnermann, Appl. Phys. Lett. 85, 5854 (2004).
[CrossRef]

Venkataraman, S.

Zentgraf, T.

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Appl. Phys. Lett. (2)

H. Kosaka, T. Kawasima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
[CrossRef]

R. Iliew, C. Etrich, U. Peschel, F. Lederer, M. Augustin, H.-J. Fuchs, D. Schelle, E.-B. Kley, S. Nolte, and A. Tünnermann, Appl. Phys. Lett. 85, 5854 (2004).
[CrossRef]

Opt. Express (4)

Opt. Lett. (3)

Phys. Rev. A (1)

K. Staliunas, M. Peckus, and V. Sirutkaitis, Phys. Rev. A 76, 051803(R) (2007).
[CrossRef]

Phys. Rev. E (2)

K. Staliunas, R. Herrero, and G. J. de Valcarcel, Phys. Rev. E 73, 065603(R) (2006).
[CrossRef]

K. Staliunas and R. Herrero, Phys. Rev. E 73, 016601 (2006).
[CrossRef]

Phys. Rev. Lett. (2)

Z. Lu, S. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, Phys. Rev. Lett. 96, 173902 (2006).
[CrossRef] [PubMed]

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Other (1)

A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method (Artech House, 2005).

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Figures (3)

Fig. 1
Fig. 1

Schematic top view of the the all-PhC Fabry–Perot resonator.

Fig. 2
Fig. 2

Isofrequency lines of the first TE bands of (a) cavity PhC and of (b) PhC mirror. For a particular frequency ( a λ = 0.2049 , indicated by the dashed curve) the segments of isolines are flat in the cavity PhC or absent along the resonator optical axis for the mirror PhC. The isolevels are labeled by the normalized frequency a λ .

Fig. 3
Fig. 3

(a) Angular power transmission spectrum of the PhC resonator. The white lines denote the existence range of higher grating orders 1 (lower line) and + 1 for frequencies above the lines. (b) Angular power transmission of the PhC resonator for a fixed frequency of a λ = 0.2049 (solid curve). For comparison the dashed curve shows the angular transmission spectrum of the homogeneous resonator for a λ = 0.1887 .

Equations (1)

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a λ > l + k G 2 n h ,

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