Abstract

A one-dimensional defective photonic crystal structure is proposed with the aim of studying its nonlinear optical properties. In such a structure, extremely enhanced second-harmonic generation with an efficiency 5 orders of magnitude higher than that of ordinary films is demonstrated in a numerical simulation. Extraordinary phase conditions of the process in such a structure were explored, and efficient forward and backward second-harmonic generation could be achieved simultaneously. The mechanism of the enhancement is the high field intensity and efficient wave coupling introduced by light localization in defect states, from which many other nonlinear processes can also benefit.

© 2001 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
    [Crossref] [PubMed]
  2. S. John, Phys. Rev. Lett. 58, 2486 (1987).
    [Crossref] [PubMed]
  3. K. M. Ho, C. T. Chan, and C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
    [Crossref] [PubMed]
  4. A. Mekis, J. C. Chen, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
    [Crossref] [PubMed]
  5. S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
    [Crossref] [PubMed]
  6. M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, Phys. Rev. A 56, 3166 (1997).
    [Crossref]
  7. V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
    [Crossref]
  8. M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, Phys. Rev. E 60, 4891 (1999).
    [Crossref]
  9. E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
    [Crossref] [PubMed]
  10. J. Martorell and R. Corbalán, Opt. Commun. 108, 319 (1994).
    [Crossref]
  11. J. Trull, R. Vilaseca, J. Martorell, and R. Corbalán, Opt. Lett. 20, 1746 (1995).
    [Crossref]
  12. M. Kohmoto, B. Sutherland, and K. Iguchi, Phys. Rev. Lett. 58, 2437 (1987).
    [Crossref]
  13. D. H. Jundt, Opt. Lett. 22, 1553 (1997).
    [Crossref]
  14. R. J. Luebbers, F. P. Hunsberger, and K. S. Kunz, IEEE Trans. Electromagn. Compat. 32, 222 (1990).
    [Crossref]
  15. R. J. Lubbers and F. P. Hunsberger, IEEE Trans. Antennas Propag. 40, 1297 (1992).
    [Crossref]
  16. M. J. Weber, ed., CRC Handbook of Laser Science and Technology (CRC, Boca Raton, Fla., 1986), Vol.  III, Part  1, p. 81.

1999 (1)

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, Phys. Rev. E 60, 4891 (1999).
[Crossref]

1998 (2)

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[Crossref]

1997 (2)

D. H. Jundt, Opt. Lett. 22, 1553 (1997).
[Crossref]

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, Phys. Rev. A 56, 3166 (1997).
[Crossref]

1996 (1)

A. Mekis, J. C. Chen, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

1995 (1)

1994 (1)

J. Martorell and R. Corbalán, Opt. Commun. 108, 319 (1994).
[Crossref]

1992 (1)

R. J. Lubbers and F. P. Hunsberger, IEEE Trans. Antennas Propag. 40, 1297 (1992).
[Crossref]

1991 (1)

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[Crossref] [PubMed]

1990 (2)

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

R. J. Luebbers, F. P. Hunsberger, and K. S. Kunz, IEEE Trans. Electromagn. Compat. 32, 222 (1990).
[Crossref]

1987 (3)

M. Kohmoto, B. Sutherland, and K. Iguchi, Phys. Rev. Lett. 58, 2437 (1987).
[Crossref]

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

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[Crossref] [PubMed]

Berger, V.

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[Crossref]

Bertolotti, M.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, Phys. Rev. E 60, 4891 (1999).
[Crossref]

Bloemer, M. J.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, Phys. Rev. E 60, 4891 (1999).
[Crossref]

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, Phys. Rev. A 56, 3166 (1997).
[Crossref]

Bowden, C. M.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, Phys. Rev. E 60, 4891 (1999).
[Crossref]

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, Phys. Rev. A 56, 3166 (1997).
[Crossref]

Brommer, K. D.

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[Crossref] [PubMed]

Centini, M.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, Phys. Rev. E 60, 4891 (1999).
[Crossref]

Chan, C. T.

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

Chen, J. C.

A. Mekis, J. C. Chen, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

Chow, E.

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

Corbalán, R.

D’Aguanno, G.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, Phys. Rev. E 60, 4891 (1999).
[Crossref]

Dowling, J. P.

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, Phys. Rev. A 56, 3166 (1997).
[Crossref]

Fan, S.

A. Mekis, J. C. Chen, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

Gmitter, T. J.

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[Crossref] [PubMed]

Haus, J. W.

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, Phys. Rev. A 56, 3166 (1997).
[Crossref]

Hietala, V.

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

Ho, K. M.

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

Hunsberger, F. P.

R. J. Lubbers and F. P. Hunsberger, IEEE Trans. Antennas Propag. 40, 1297 (1992).
[Crossref]

R. J. Luebbers, F. P. Hunsberger, and K. S. Kunz, IEEE Trans. Electromagn. Compat. 32, 222 (1990).
[Crossref]

Iguchi, K.

M. Kohmoto, B. Sutherland, and K. Iguchi, Phys. Rev. Lett. 58, 2437 (1987).
[Crossref]

Joannopoulos, J. D.

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

A. Mekis, J. C. Chen, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[Crossref] [PubMed]

John, S.

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[Crossref] [PubMed]

Jundt, D. H.

Kohmoto, M.

M. Kohmoto, B. Sutherland, and K. Iguchi, Phys. Rev. Lett. 58, 2437 (1987).
[Crossref]

Kunz, K. S.

R. J. Luebbers, F. P. Hunsberger, and K. S. Kunz, IEEE Trans. Electromagn. Compat. 32, 222 (1990).
[Crossref]

Lin, S. Y.

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

Lubbers, R. J.

R. J. Lubbers and F. P. Hunsberger, IEEE Trans. Antennas Propag. 40, 1297 (1992).
[Crossref]

Luebbers, R. J.

R. J. Luebbers, F. P. Hunsberger, and K. S. Kunz, IEEE Trans. Electromagn. Compat. 32, 222 (1990).
[Crossref]

Manka, A. S.

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, Phys. Rev. A 56, 3166 (1997).
[Crossref]

Martorell, J.

Meade, R. D.

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[Crossref] [PubMed]

Mekis, A.

A. Mekis, J. C. Chen, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

Nefedov, I.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, Phys. Rev. E 60, 4891 (1999).
[Crossref]

Rappe, A. M.

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[Crossref] [PubMed]

Scalora, M.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, Phys. Rev. E 60, 4891 (1999).
[Crossref]

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, Phys. Rev. A 56, 3166 (1997).
[Crossref]

Sibilia, C.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, Phys. Rev. E 60, 4891 (1999).
[Crossref]

Soukoulis, C. M.

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

Sutherland, B.

M. Kohmoto, B. Sutherland, and K. Iguchi, Phys. Rev. Lett. 58, 2437 (1987).
[Crossref]

Trull, J.

Vilaseca, R.

Villeneuve, P. R.

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

A. Mekis, J. C. Chen, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

Viswanathan, R.

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, Phys. Rev. A 56, 3166 (1997).
[Crossref]

Yablonovitch, E.

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[Crossref] [PubMed]

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

IEEE Trans. Antennas Propag. (1)

R. J. Lubbers and F. P. Hunsberger, IEEE Trans. Antennas Propag. 40, 1297 (1992).
[Crossref]

IEEE Trans. Electromagn. Compat. (1)

R. J. Luebbers, F. P. Hunsberger, and K. S. Kunz, IEEE Trans. Electromagn. Compat. 32, 222 (1990).
[Crossref]

Opt. Commun. (1)

J. Martorell and R. Corbalán, Opt. Commun. 108, 319 (1994).
[Crossref]

Opt. Lett. (2)

Phys. Rev. A (1)

M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, Phys. Rev. A 56, 3166 (1997).
[Crossref]

Phys. Rev. E (1)

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, Phys. Rev. E 60, 4891 (1999).
[Crossref]

Phys. Rev. Lett. (7)

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[Crossref] [PubMed]

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[Crossref]

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

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[Crossref] [PubMed]

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

A. Mekis, J. C. Chen, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, Phys. Rev. Lett. 77, 3787 (1996).
[Crossref] [PubMed]

M. Kohmoto, B. Sutherland, and K. Iguchi, Phys. Rev. Lett. 58, 2437 (1987).
[Crossref]

Science (1)

S. Y. Lin, E. Chow, V. Hietala, P. R. Villeneuve, and J. D. Joannopoulos, Science 282, 274 (1998).
[Crossref] [PubMed]

Other (1)

M. J. Weber, ed., CRC Handbook of Laser Science and Technology (CRC, Boca Raton, Fla., 1986), Vol.  III, Part  1, p. 81.

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Transmission spectrum of the photonic crystal with a single defect layer.

Fig. 2
Fig. 2

Relative amplitude (normalized to that of the input wave) and phase distribution of the light wave with its frequency at the defect level in the defective PC. (A schematic of the structure is also shown; LiNbO3 and air are shown in gray and white, respectively.)

Fig. 3
Fig. 3

Amplitude of the electric field as a function of frequency from the one-dimensional nonlinear defective photonic crystal. (a) Forward light wave at the right side out of the defective PC and (b) backward light wave at the left side out of the defective PC.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

A=-l/2l/2gxAωxexp-iφωx2×exp-iφ2ωl/2-φ2ωxdx,
2x2EZ=μ02t2DZ+P2EZ2,
ϵω=ϵϵ0+ϵ0ϵs-ϵp=12Gpωp2ωp2+2jωδp-ω2,
P2EZ2=ϵ0d33EZ2,

Metrics