Abstract

By combining two one-dimensional defective photonic crystals (PCs), we obtained a photonic heterostructure with narrow frequency and a sharp angular defect mode. The key to obtaining such a structure is to design the two sub-PCs to make the frequencies of their defect modes the same at one incident angle and different at all other incident angles. Filters designed on the basis of this heterostructure possess not only a narrow-frequency passband but also a sharp angular pass breadth. Optimization of the practical design is also suggested.

© 2004 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. 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]
  4. S. Noda, A. Chutinan, and M. Imada, Nature 407, 608 (2000).
    [CrossRef] [PubMed]
  5. B. Shi, Z. M. Jiang, and X. Wang, Opt. Lett. 26, 1194 (2001).
    [CrossRef]
  6. T. Hattori, N. Tsurumachi, and H. Nakatsuka, J. Opt. Soc. Am. B 14, 348 (1997).
    [CrossRef]
  7. D. R. Smith, R. Dalichaouch, N. Kroll, S. Schultz, S. L. McCall, and P. M. Platzman, J. Opt. Soc. Am. B 10, 314 (1993).
    [CrossRef]
  8. A. Figotin and V. Gorentsveig, Phys. Rev. B 58, 180 (1998).
    [CrossRef]
  9. P. St. J. Russell, S. Tredwell, and P. J. Roberts, Opt. Commun. 160, 66 (1999).
    [CrossRef]
  10. H. A. Macleod, Thin-Film Optical Filters (Hilger, London, 1969).
  11. N. E. J. Hunt, E. F. Schubert, and G. J. Zydzik, Appl. Phys. Lett. 63, 391 (1993).
    [CrossRef]
  12. Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
    [CrossRef] [PubMed]
  13. J. N. Winn, Y. Fink, S. Fan, and J. D. Joannopoulos, Opt. Lett. 23, 1573 (1998).
    [CrossRef]
  14. D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, Appl. Phys. A 68, 25 (1999).
    [CrossRef]
  15. W. H. Southwell, Appl. Opt. 38, 5464 (1999).
    [CrossRef]
  16. K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin, 2001).
    [CrossRef]
  17. X. Wang, X. Hu, Y. Li, W. Jia, C. Xu, X. Liu, and J. Zi, Appl. Phys. Lett. 80, 4291 (2002).
    [CrossRef]

2002 (1)

X. Wang, X. Hu, Y. Li, W. Jia, C. Xu, X. Liu, and J. Zi, Appl. Phys. Lett. 80, 4291 (2002).
[CrossRef]

2001 (1)

2000 (1)

S. Noda, A. Chutinan, and M. Imada, Nature 407, 608 (2000).
[CrossRef] [PubMed]

1999 (3)

P. St. J. Russell, S. Tredwell, and P. J. Roberts, Opt. Commun. 160, 66 (1999).
[CrossRef]

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, Appl. Phys. A 68, 25 (1999).
[CrossRef]

W. H. Southwell, Appl. Opt. 38, 5464 (1999).
[CrossRef]

1998 (3)

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

J. N. Winn, Y. Fink, S. Fan, and J. D. Joannopoulos, Opt. Lett. 23, 1573 (1998).
[CrossRef]

A. Figotin and V. Gorentsveig, Phys. Rev. B 58, 180 (1998).
[CrossRef]

1997 (1)

1993 (2)

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]

1987 (2)

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

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

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]

Chen, C.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Chigrin, D. N.

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, Appl. Phys. A 68, 25 (1999).
[CrossRef]

Chutinan, A.

S. Noda, A. Chutinan, and M. Imada, Nature 407, 608 (2000).
[CrossRef] [PubMed]

Dalichaouch, R.

Fan, S.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

J. N. Winn, Y. Fink, S. Fan, and J. D. Joannopoulos, Opt. Lett. 23, 1573 (1998).
[CrossRef]

Figotin, A.

A. Figotin and V. Gorentsveig, Phys. Rev. B 58, 180 (1998).
[CrossRef]

Fink, Y.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

J. N. Winn, Y. Fink, S. Fan, and J. D. Joannopoulos, Opt. Lett. 23, 1573 (1998).
[CrossRef]

Gaponenko, S. V.

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, Appl. Phys. A 68, 25 (1999).
[CrossRef]

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]

Gorentsveig, V.

A. Figotin and V. Gorentsveig, Phys. Rev. B 58, 180 (1998).
[CrossRef]

Hattori, T.

Hu, X.

X. Wang, X. Hu, Y. Li, W. Jia, C. Xu, X. Liu, and J. Zi, Appl. Phys. Lett. 80, 4291 (2002).
[CrossRef]

Hunt, N. E. J.

N. E. J. Hunt, E. F. Schubert, and G. J. Zydzik, Appl. Phys. Lett. 63, 391 (1993).
[CrossRef]

Imada, M.

S. Noda, A. Chutinan, and M. Imada, Nature 407, 608 (2000).
[CrossRef] [PubMed]

Jia, W.

X. Wang, X. Hu, Y. Li, W. Jia, C. Xu, X. Liu, and J. Zi, Appl. Phys. Lett. 80, 4291 (2002).
[CrossRef]

Jiang, Z. M.

Joannopoulos, J. D.

J. N. Winn, Y. Fink, S. Fan, and J. D. Joannopoulos, Opt. Lett. 23, 1573 (1998).
[CrossRef]

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[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]

Kroll, N.

Lavrinenko, A. V.

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, Appl. Phys. A 68, 25 (1999).
[CrossRef]

Li, Y.

X. Wang, X. Hu, Y. Li, W. Jia, C. Xu, X. Liu, and J. Zi, Appl. Phys. Lett. 80, 4291 (2002).
[CrossRef]

Liu, X.

X. Wang, X. Hu, Y. Li, W. Jia, C. Xu, X. Liu, and J. Zi, Appl. Phys. Lett. 80, 4291 (2002).
[CrossRef]

Macleod, H. A.

H. A. Macleod, Thin-Film Optical Filters (Hilger, London, 1969).

McCall, S. L.

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]

Michel, J.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Nakatsuka, H.

Noda, S.

S. Noda, A. Chutinan, and M. Imada, Nature 407, 608 (2000).
[CrossRef] [PubMed]

Platzman, P. M.

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]

Roberts, P. J.

P. St. J. Russell, S. Tredwell, and P. J. Roberts, Opt. Commun. 160, 66 (1999).
[CrossRef]

Russell, P. St. J.

P. St. J. Russell, S. Tredwell, and P. J. Roberts, Opt. Commun. 160, 66 (1999).
[CrossRef]

Sakoda, K.

K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin, 2001).
[CrossRef]

Schubert, E. F.

N. E. J. Hunt, E. F. Schubert, and G. J. Zydzik, Appl. Phys. Lett. 63, 391 (1993).
[CrossRef]

Schultz, S.

Shi, B.

Smith, D. R.

Southwell, W. H.

Thomas, E. L.

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Tredwell, S.

P. St. J. Russell, S. Tredwell, and P. J. Roberts, Opt. Commun. 160, 66 (1999).
[CrossRef]

Tsurumachi, N.

Wang, X.

X. Wang, X. Hu, Y. Li, W. Jia, C. Xu, X. Liu, and J. Zi, Appl. Phys. Lett. 80, 4291 (2002).
[CrossRef]

B. Shi, Z. M. Jiang, and X. Wang, Opt. Lett. 26, 1194 (2001).
[CrossRef]

Winn, J. N.

J. N. Winn, Y. Fink, S. Fan, and J. D. Joannopoulos, Opt. Lett. 23, 1573 (1998).
[CrossRef]

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Xu, C.

X. Wang, X. Hu, Y. Li, W. Jia, C. Xu, X. Liu, and J. Zi, Appl. Phys. Lett. 80, 4291 (2002).
[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]

Yarotsky, D. A.

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, Appl. Phys. A 68, 25 (1999).
[CrossRef]

Zi, J.

X. Wang, X. Hu, Y. Li, W. Jia, C. Xu, X. Liu, and J. Zi, Appl. Phys. Lett. 80, 4291 (2002).
[CrossRef]

Zydzik, G. J.

N. E. J. Hunt, E. F. Schubert, and G. J. Zydzik, Appl. Phys. Lett. 63, 391 (1993).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. A (1)

D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, Appl. Phys. A 68, 25 (1999).
[CrossRef]

Appl. Phys. Lett. (2)

N. E. J. Hunt, E. F. Schubert, and G. J. Zydzik, Appl. Phys. Lett. 63, 391 (1993).
[CrossRef]

X. Wang, X. Hu, Y. Li, W. Jia, C. Xu, X. Liu, and J. Zi, Appl. Phys. Lett. 80, 4291 (2002).
[CrossRef]

J. Opt. Soc. Am. B (2)

Nature (1)

S. Noda, A. Chutinan, and M. Imada, Nature 407, 608 (2000).
[CrossRef] [PubMed]

Opt. Commun. (1)

P. St. J. Russell, S. Tredwell, and P. J. Roberts, Opt. Commun. 160, 66 (1999).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. B (1)

A. Figotin and V. Gorentsveig, Phys. Rev. B 58, 180 (1998).
[CrossRef]

Phys. Rev. Lett. (3)

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

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

Science (1)

Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E. L. Thomas, Science 282, 1679 (1998).
[CrossRef] [PubMed]

Other (2)

K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin, 2001).
[CrossRef]

H. A. Macleod, Thin-Film Optical Filters (Hilger, London, 1969).

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 (4)

Fig. 1
Fig. 1

Angle-dependent stop band and defect modes of two types of defective PC: type I, LHs1.6LHLs and type II, HLs0.1HLHs.

Fig. 2
Fig. 2

Angle-dependent defect modes of two types of defective PC, in which the defect modes are adjusted to be the same at (a) normal incidence and (b) 45° incidence. The symbols are the same as those in Fig. 1. The ranges of ODR are (a) 0.86ω01.2ω0 and (b) 0.80ω01.21ω0.

Fig. 3
Fig. 3

Schematic sketch of the photonic heterostructure fLHsαLHLsgHLsβHLHs.

Fig. 4
Fig. 4

Frequency and incident angle-dependent transmittance of the heterostructure 1.1257368LH71.6LHL70.93781965HL70.1HLH7.

Metrics