Abstract

We present finite-difference time-domain calculations of the Q factor for an optical microcavity defined by a slab waveguide and two-dimensional photonic-crystal end mirrors. The effect of the finite depth of the photonic crystal on the cavity’s optical modes is examined. From these calculations, we can optimize the performance of the photonic-crystal mirrors and determine the loss mechanisms within optical cavities defined by these structures. The Q of the cavity modes is shown to be strongly dependent on the depth of the holes defining the photonic crystal, as well as the refractive index of the material surrounding the waveguide core.

© 1998 Optical Society of America

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  1. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
    [CrossRef] [PubMed]
  2. M. Boroditsky and E. Yablonvitch, Phys. World 10(7), 25–26 (1997).
  3. J. O’Brien, O. Painter, C. C. Cheng, R. Lee, A. Scherer, and A. Yariv, Electron. Lett. 32, 2243 (1996).
    [CrossRef]
  4. M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, Appl. Phys. Lett. 70, 1438 (1997).
    [CrossRef]
  5. D. L. Bullock, C. C. Shih, and R. S. Margulies, J. Opt. Soc. Am. B 10, 399 (1993).
    [CrossRef]
  6. T. F. Krauss and R. M. De La Rue, Appl. Phys. Lett. 68, 1613 (1996).
    [CrossRef]
  7. T. F. Krauss, R. M. De La Rue, and S. Brand, Nature (London) 383, 699 (1996).
    [CrossRef]
  8. C. C. Cheng, A. Scherer, V. Arbet-Engels, and E. Yablonovitch, J. Vac. Sci. Technol. B 14, 4110 (1996).
    [CrossRef]
  9. T. Hamano, H. Hirayama, and Y. Aoyyagi, in Conference on Lasers and Electro-Optics, Vol. 11 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), pp. 528–529.
  10. G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
    [CrossRef]
  11. L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, New York, 1995).
  12. T. Baba and T. Matsuzaki, Jpn. J. Appl. Phys., Part 1 35, 1348 (1996).
    [CrossRef]
  13. K. Sakoda, Phys. Rev. B 52, 8992 (1995).
    [CrossRef]
  14. E. M. Purcell, Phys. Rev. 69, 681 (1946).
    [CrossRef]
  15. G. Björk, H. Heitmann, and Y. Yamamoto, Phys. Rev. A 47, 4451 (1993).
    [CrossRef]
  16. G. il Kweon and N. M. Lawandy, Opt. Commun. 118, 388 (1995).
    [CrossRef]
  17. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton University, Princeton, N.J., 1995).
  18. K. S. Yee, IEEE Trans. Antennas Propag. 14, 302 (1966).
    [CrossRef]
  19. M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
    [CrossRef]
  20. D. H. Choi and W. J. R. Hoefer, IEEE Trans. Microwave Theory Tech. 34, 1464 (1986).
    [CrossRef]
  21. Z. Bi, Y. Shen, K. Wu, and J. Litva, IEEE Trans. Microwave Theory Tech. 40, 1611 (1992).
    [CrossRef]
  22. K. Chamberlain and L. Gordon, IEEE Trans. Electromagn. Compat. 37, 210 (1995).
    [CrossRef]
  23. A. Yariv, Optical Electronics, 4th ed. (Saunder College, Orlando, 1991).

1997 (3)

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

M. Boroditsky and E. Yablonvitch, Phys. World 10(7), 25–26 (1997).

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, Appl. Phys. Lett. 70, 1438 (1997).
[CrossRef]

1996 (5)

J. O’Brien, O. Painter, C. C. Cheng, R. Lee, A. Scherer, and A. Yariv, Electron. Lett. 32, 2243 (1996).
[CrossRef]

T. Baba and T. Matsuzaki, Jpn. J. Appl. Phys., Part 1 35, 1348 (1996).
[CrossRef]

T. F. Krauss and R. M. De La Rue, Appl. Phys. Lett. 68, 1613 (1996).
[CrossRef]

T. F. Krauss, R. M. De La Rue, and S. Brand, Nature (London) 383, 699 (1996).
[CrossRef]

C. C. Cheng, A. Scherer, V. Arbet-Engels, and E. Yablonovitch, J. Vac. Sci. Technol. B 14, 4110 (1996).
[CrossRef]

1995 (3)

G. il Kweon and N. M. Lawandy, Opt. Commun. 118, 388 (1995).
[CrossRef]

K. Sakoda, Phys. Rev. B 52, 8992 (1995).
[CrossRef]

K. Chamberlain and L. Gordon, IEEE Trans. Electromagn. Compat. 37, 210 (1995).
[CrossRef]

1993 (2)

G. Björk, H. Heitmann, and Y. Yamamoto, Phys. Rev. A 47, 4451 (1993).
[CrossRef]

D. L. Bullock, C. C. Shih, and R. S. Margulies, J. Opt. Soc. Am. B 10, 399 (1993).
[CrossRef]

1992 (2)

Z. Bi, Y. Shen, K. Wu, and J. Litva, IEEE Trans. Microwave Theory Tech. 40, 1611 (1992).
[CrossRef]

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

1987 (1)

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

1986 (1)

D. H. Choi and W. J. R. Hoefer, IEEE Trans. Microwave Theory Tech. 34, 1464 (1986).
[CrossRef]

1966 (1)

K. S. Yee, IEEE Trans. Antennas Propag. 14, 302 (1966).
[CrossRef]

1946 (1)

E. M. Purcell, Phys. Rev. 69, 681 (1946).
[CrossRef]

Arbet-Engels, V.

C. C. Cheng, A. Scherer, V. Arbet-Engels, and E. Yablonovitch, J. Vac. Sci. Technol. B 14, 4110 (1996).
[CrossRef]

Baba, T.

T. Baba and T. Matsuzaki, Jpn. J. Appl. Phys., Part 1 35, 1348 (1996).
[CrossRef]

Bartsch, M.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Bi, Z.

Z. Bi, Y. Shen, K. Wu, and J. Litva, IEEE Trans. Microwave Theory Tech. 40, 1611 (1992).
[CrossRef]

Björk, G.

G. Björk, H. Heitmann, and Y. Yamamoto, Phys. Rev. A 47, 4451 (1993).
[CrossRef]

Boroditsky, M.

M. Boroditsky and E. Yablonvitch, Phys. World 10(7), 25–26 (1997).

Brand, S.

T. F. Krauss, R. M. De La Rue, and S. Brand, Nature (London) 383, 699 (1996).
[CrossRef]

Bullock, D. L.

Busch, A.

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, Appl. Phys. Lett. 70, 1438 (1997).
[CrossRef]

Chamberlain, K.

K. Chamberlain and L. Gordon, IEEE Trans. Electromagn. Compat. 37, 210 (1995).
[CrossRef]

Cheng, C. C.

J. O’Brien, O. Painter, C. C. Cheng, R. Lee, A. Scherer, and A. Yariv, Electron. Lett. 32, 2243 (1996).
[CrossRef]

C. C. Cheng, A. Scherer, V. Arbet-Engels, and E. Yablonovitch, J. Vac. Sci. Technol. B 14, 4110 (1996).
[CrossRef]

Choi, D. H.

D. H. Choi and W. J. R. Hoefer, IEEE Trans. Microwave Theory Tech. 34, 1464 (1986).
[CrossRef]

De La Rue, R. M.

T. F. Krauss and R. M. De La Rue, Appl. Phys. Lett. 68, 1613 (1996).
[CrossRef]

T. F. Krauss, R. M. De La Rue, and S. Brand, Nature (London) 383, 699 (1996).
[CrossRef]

Dehler, M.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Dohlus, M.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Ebeling, F.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Ehrfeld, W.

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

Feiertag, G.

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

Freimuth, H.

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

Gordon, L.

K. Chamberlain and L. Gordon, IEEE Trans. Electromagn. Compat. 37, 210 (1995).
[CrossRef]

Hahne, P.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Heitmann, H.

G. Björk, H. Heitmann, and Y. Yamamoto, Phys. Rev. A 47, 4451 (1993).
[CrossRef]

Hoefer, W. J. R.

D. H. Choi and W. J. R. Hoefer, IEEE Trans. Microwave Theory Tech. 34, 1464 (1986).
[CrossRef]

il Kweon, G.

G. il Kweon and N. M. Lawandy, Opt. Commun. 118, 388 (1995).
[CrossRef]

Johnson, S. R.

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, Appl. Phys. Lett. 70, 1438 (1997).
[CrossRef]

Kanskar, M.

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, Appl. Phys. Lett. 70, 1438 (1997).
[CrossRef]

Kiriakidis, G.

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

Klatt, R.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Koenig, W.

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

Kolle, H.

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

Krauss, T. F.

T. F. Krauss and R. M. De La Rue, Appl. Phys. Lett. 68, 1613 (1996).
[CrossRef]

T. F. Krauss, R. M. De La Rue, and S. Brand, Nature (London) 383, 699 (1996).
[CrossRef]

Krawczyk, F.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Kuhl, J.

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

Lawandy, N. M.

G. il Kweon and N. M. Lawandy, Opt. Commun. 118, 388 (1995).
[CrossRef]

Lee, R.

J. O’Brien, O. Painter, C. C. Cheng, R. Lee, A. Scherer, and A. Yariv, Electron. Lett. 32, 2243 (1996).
[CrossRef]

Lehr, H.

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

Litva, J.

Z. Bi, Y. Shen, K. Wu, and J. Litva, IEEE Trans. Microwave Theory Tech. 40, 1611 (1992).
[CrossRef]

Mackenzie, J.

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, Appl. Phys. Lett. 70, 1438 (1997).
[CrossRef]

Margulies, R. S.

Marx, M.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Matsuzaki, T.

T. Baba and T. Matsuzaki, Jpn. J. Appl. Phys., Part 1 35, 1348 (1996).
[CrossRef]

Min, Z.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Morin, R.

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, Appl. Phys. Lett. 70, 1438 (1997).
[CrossRef]

O’Brien, J.

J. O’Brien, O. Painter, C. C. Cheng, R. Lee, A. Scherer, and A. Yariv, Electron. Lett. 32, 2243 (1996).
[CrossRef]

Pacradoui, V.

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, Appl. Phys. Lett. 70, 1438 (1997).
[CrossRef]

Paddon, P.

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, Appl. Phys. Lett. 70, 1438 (1997).
[CrossRef]

Painter, O.

J. O’Brien, O. Painter, C. C. Cheng, R. Lee, A. Scherer, and A. Yariv, Electron. Lett. 32, 2243 (1996).
[CrossRef]

Pederson, T.

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

Pröpper, T.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Purcell, E. M.

E. M. Purcell, Phys. Rev. 69, 681 (1946).
[CrossRef]

Sakoda, K.

K. Sakoda, Phys. Rev. B 52, 8992 (1995).
[CrossRef]

Scherer, A.

J. O’Brien, O. Painter, C. C. Cheng, R. Lee, A. Scherer, and A. Yariv, Electron. Lett. 32, 2243 (1996).
[CrossRef]

C. C. Cheng, A. Scherer, V. Arbet-Engels, and E. Yablonovitch, J. Vac. Sci. Technol. B 14, 4110 (1996).
[CrossRef]

Schmidt, M.

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

Schmitt, D.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Schütt, P.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Shen, Y.

Z. Bi, Y. Shen, K. Wu, and J. Litva, IEEE Trans. Microwave Theory Tech. 40, 1611 (1992).
[CrossRef]

Shih, C. C.

Sigalas, M. M.

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

Soukoulis, C. M.

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

Steffen, B.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Tiedje, T.

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, Appl. Phys. Lett. 70, 1438 (1997).
[CrossRef]

Wagner, B.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Weiland, T.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Wipf, S. G.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Wolter, H.

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Wu, K.

Z. Bi, Y. Shen, K. Wu, and J. Litva, IEEE Trans. Microwave Theory Tech. 40, 1611 (1992).
[CrossRef]

Yablonovitch, E.

C. C. Cheng, A. Scherer, V. Arbet-Engels, and E. Yablonovitch, J. Vac. Sci. Technol. B 14, 4110 (1996).
[CrossRef]

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

Yablonvitch, E.

M. Boroditsky and E. Yablonvitch, Phys. World 10(7), 25–26 (1997).

Yamamoto, Y.

G. Björk, H. Heitmann, and Y. Yamamoto, Phys. Rev. A 47, 4451 (1993).
[CrossRef]

Yariv, A.

J. O’Brien, O. Painter, C. C. Cheng, R. Lee, A. Scherer, and A. Yariv, Electron. Lett. 32, 2243 (1996).
[CrossRef]

Yee, K. S.

K. S. Yee, IEEE Trans. Antennas Propag. 14, 302 (1966).
[CrossRef]

Young, J. F.

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, Appl. Phys. Lett. 70, 1438 (1997).
[CrossRef]

Appl. Phys. Lett. (3)

T. F. Krauss and R. M. De La Rue, Appl. Phys. Lett. 68, 1613 (1996).
[CrossRef]

G. Feiertag, W. Ehrfeld, H. Freimuth, H. Kolle, H. Lehr, M. Schmidt, M. M. Sigalas, C. M. Soukoulis, G. Kiriakidis, T. Pederson, J. Kuhl, and W. Koenig, Appl. Phys. Lett. 71, 1441 (1997).
[CrossRef]

M. Kanskar, P. Paddon, V. Pacradoui, R. Morin, A. Busch, J. F. Young, S. R. Johnson, J. Mackenzie, and T. Tiedje, Appl. Phys. Lett. 70, 1438 (1997).
[CrossRef]

Comput. Phys. Commun. (1)

M. Bartsch, M. Dehler, M. Dohlus, F. Ebeling, P. Hahne, R. Klatt, F. Krawczyk, M. Marx, Z. Min, T. Pröpper, D. Schmitt, P. Schütt, B. Steffen, B. Wagner, T. Weiland, S. G. Wipf, and H. Wolter, Comput. Phys. Commun. 72, 22 (1992).
[CrossRef]

Electron. Lett. (1)

J. O’Brien, O. Painter, C. C. Cheng, R. Lee, A. Scherer, and A. Yariv, Electron. Lett. 32, 2243 (1996).
[CrossRef]

IEEE Trans. Antennas Propag. (1)

K. S. Yee, IEEE Trans. Antennas Propag. 14, 302 (1966).
[CrossRef]

IEEE Trans. Electromagn. Compat. (1)

K. Chamberlain and L. Gordon, IEEE Trans. Electromagn. Compat. 37, 210 (1995).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (2)

D. H. Choi and W. J. R. Hoefer, IEEE Trans. Microwave Theory Tech. 34, 1464 (1986).
[CrossRef]

Z. Bi, Y. Shen, K. Wu, and J. Litva, IEEE Trans. Microwave Theory Tech. 40, 1611 (1992).
[CrossRef]

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

J. Vac. Sci. Technol. B (1)

C. C. Cheng, A. Scherer, V. Arbet-Engels, and E. Yablonovitch, J. Vac. Sci. Technol. B 14, 4110 (1996).
[CrossRef]

Jpn. J. Appl. Phys., Part 1 (1)

T. Baba and T. Matsuzaki, Jpn. J. Appl. Phys., Part 1 35, 1348 (1996).
[CrossRef]

Nature (London) (1)

T. F. Krauss, R. M. De La Rue, and S. Brand, Nature (London) 383, 699 (1996).
[CrossRef]

Opt. Commun. (1)

G. il Kweon and N. M. Lawandy, Opt. Commun. 118, 388 (1995).
[CrossRef]

Phys. Rev. (1)

E. M. Purcell, Phys. Rev. 69, 681 (1946).
[CrossRef]

Phys. Rev. A (1)

G. Björk, H. Heitmann, and Y. Yamamoto, Phys. Rev. A 47, 4451 (1993).
[CrossRef]

Phys. Rev. B (1)

K. Sakoda, Phys. Rev. B 52, 8992 (1995).
[CrossRef]

Phys. Rev. Lett. (1)

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

Phys. World (1)

M. Boroditsky and E. Yablonvitch, Phys. World 10(7), 25–26 (1997).

Other (4)

L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Integrated Circuits (Wiley, New York, 1995).

T. Hamano, H. Hirayama, and Y. Aoyyagi, in Conference on Lasers and Electro-Optics, Vol. 11 of OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1997), pp. 528–529.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton University, Princeton, N.J., 1995).

A. Yariv, Optical Electronics, 4th ed. (Saunder College, Orlando, 1991).

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Figures (8)

Fig. 1
Fig. 1

2D hexagonal array of holes etched 2 μm deep into AlGaAs laser structure. The holes are 300 nm in diameter, and the spacing is 500 nm.

Fig. 2
Fig. 2

The optical cavity is formed from a three-layer slab waveguide and 2D photonic crystal end mirrors. λ0 is the wavelength of light in air, λg is the wavelength of light in the core, and the 2D hexagonal lattice has r/a=0.4 and a/λ0=0.28.

Fig. 3
Fig. 3

Cavity Q for various hole depths with a symmetric (⋄) waveguide with semiconductor on either side of the core, an asymmetric (○) waveguide with air as the bottom cladding, and a symmetric (*) waveguide with air surrounding a semiconductor core.

Fig. 4
Fig. 4

Modal reflectivity for various hole depths with a symmetric (⋄) waveguide with semiconductor on either side of the core, an asymmetric (○) waveguide with air as the bottom cladding, and a symmetric (*) waveguide with air surrounding a semiconductor core.

Fig. 5
Fig. 5

Semiconductor slab waveguide with photonic crystal holes etched just below the core into the bottom cladding. The magnitude of the magnetic field, enhanced to show cavity losses, is plotted for one side of the symmetrical cavity.

Fig. 6
Fig. 6

Semiconductor slab waveguide with photonic crystal holes etched deep into the bottom cladding. The magnitude of the magnetic field, enhanced to show cavity losses, is plotted for one side of the symmetrical cavity.

Fig. 7
Fig. 7

Semiconductor waveguide with bottom cladding replaced by air. The photonic crystal holes are etched through the core. The magnitude of the magnetic field, enhanced to show cavity losses, is plotted for one side of the symmetrical cavity.

Fig. 8
Fig. 8

Semiconductor waveguide core with air on both sides and the photonic crystal holes etched right through the core. The magnitude of the magnetic field, enhanced to show cavity losses, is plotted for one side of the symmetrical cavity.

Equations (1)

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Q=ωtph=-2πLλgln Rmodal

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