Abstract

We present a triangular photonic-crystal-fiber structure that exhibits guided modes simultaneously above and below the first conduction band. We achieve this configuration by decreasing the size of one of the airholes (the defect) in a specific triangular lattice. More generally, we analyze the behavior of guided modes that depends on the size of the defect. Defects generated by decreasing or increasing the size of one of the holes produce donor or acceptor guided modes, respectively, in analogy with impurity levels in solid-state crystals. We conclude that the guiding mechanism for both donor and acceptor modes is produced by a unique phenomenon of multiple interference by a periodic structure.

© 2000 Optical Society of America

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  1. E. Yablonovitch, J. Opt. Soc. Am. B 10, 283 (1993).
    [CrossRef]
  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. P. J. Bennett, T. M. Monro, and D. J. Richardson, Opt. Lett. 24, 1203 (1999).
    [CrossRef]
  5. J. Broeng, D. Mogilevstev, S. E. Barkou, and A. Bjarklev, Opt. Fiber Technol. Mater. Devices Syst. 5, 305 (1999).
    [CrossRef]
  6. A. Ferrando, E. Silvestre, J. J. Miret, P. Andrés, and M. V. Andrés, Opt. Lett. 24, 276 (1999).
    [CrossRef]
  7. T. A. Birks, J. C. Knight, and P. St. J. Russell, Opt. Lett. 22, 961 (1997).
    [CrossRef] [PubMed]
  8. A. Ferrando, E. Silvestre, J. J. Miret, J. A. Monsoriu, M. V. Andrés, and P. St. J. Russell, Electron. Lett. 35, 325 (1999).
    [CrossRef]
  9. J. C. Knight, J. Broeng, T. A. Birks, and P. St. J. Russell, Science 282, 1476 (1998).
    [CrossRef] [PubMed]
  10. S. E. Barkou, J. Broeng, and A. Bjarklev, Opt. Lett. 24, 46 (1999).
    [CrossRef]
  11. N. W. Ashcroft and N. D. Mermin, in Solid State Physics (Saunders/Harcourt Brace, Fort Worth, Tex., 1976), pp. 577–580.
  12. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, Princeton, N.J., 1995), pp. 66–77.

1999

P. J. Bennett, T. M. Monro, and D. J. Richardson, Opt. Lett. 24, 1203 (1999).
[CrossRef]

J. Broeng, D. Mogilevstev, S. E. Barkou, and A. Bjarklev, Opt. Fiber Technol. Mater. Devices Syst. 5, 305 (1999).
[CrossRef]

A. Ferrando, E. Silvestre, J. J. Miret, P. Andrés, and M. V. Andrés, Opt. Lett. 24, 276 (1999).
[CrossRef]

A. Ferrando, E. Silvestre, J. J. Miret, J. A. Monsoriu, M. V. Andrés, and P. St. J. Russell, Electron. Lett. 35, 325 (1999).
[CrossRef]

S. E. Barkou, J. Broeng, and A. Bjarklev, Opt. Lett. 24, 46 (1999).
[CrossRef]

1998

J. C. Knight, J. Broeng, T. A. Birks, and P. St. J. Russell, Science 282, 1476 (1998).
[CrossRef] [PubMed]

1997

1993

1991

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

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

Andrés, M. V.

A. Ferrando, E. Silvestre, J. J. Miret, P. Andrés, and M. V. Andrés, Opt. Lett. 24, 276 (1999).
[CrossRef]

A. Ferrando, E. Silvestre, J. J. Miret, J. A. Monsoriu, M. V. Andrés, and P. St. J. Russell, Electron. Lett. 35, 325 (1999).
[CrossRef]

Andrés, P.

Ashcroft, N. W.

N. W. Ashcroft and N. D. Mermin, in Solid State Physics (Saunders/Harcourt Brace, Fort Worth, Tex., 1976), pp. 577–580.

Barkou, S. E.

S. E. Barkou, J. Broeng, and A. Bjarklev, Opt. Lett. 24, 46 (1999).
[CrossRef]

J. Broeng, D. Mogilevstev, S. E. Barkou, and A. Bjarklev, Opt. Fiber Technol. Mater. Devices Syst. 5, 305 (1999).
[CrossRef]

Bennett, P. J.

Birks, T. A.

J. C. Knight, J. Broeng, T. A. Birks, and P. St. J. Russell, Science 282, 1476 (1998).
[CrossRef] [PubMed]

T. A. Birks, J. C. Knight, and P. St. J. Russell, Opt. Lett. 22, 961 (1997).
[CrossRef] [PubMed]

Bjarklev, A.

J. Broeng, D. Mogilevstev, S. E. Barkou, and A. Bjarklev, Opt. Fiber Technol. Mater. Devices Syst. 5, 305 (1999).
[CrossRef]

S. E. Barkou, J. Broeng, and A. Bjarklev, Opt. Lett. 24, 46 (1999).
[CrossRef]

Broeng, J.

J. Broeng, D. Mogilevstev, S. E. Barkou, and A. Bjarklev, Opt. Fiber Technol. Mater. Devices Syst. 5, 305 (1999).
[CrossRef]

S. E. Barkou, J. Broeng, and A. Bjarklev, Opt. Lett. 24, 46 (1999).
[CrossRef]

J. C. Knight, J. Broeng, T. A. Birks, and P. St. J. Russell, Science 282, 1476 (1998).
[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]

Ferrando, A.

A. Ferrando, E. Silvestre, J. J. Miret, P. Andrés, and M. V. Andrés, Opt. Lett. 24, 276 (1999).
[CrossRef]

A. Ferrando, E. Silvestre, J. J. Miret, J. A. Monsoriu, M. V. Andrés, and P. St. J. Russell, Electron. Lett. 35, 325 (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]

Joannopoulos, J. 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]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, Princeton, N.J., 1995), pp. 66–77.

John, S.

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

Knight, J. C.

J. C. Knight, J. Broeng, T. A. Birks, and P. St. J. Russell, Science 282, 1476 (1998).
[CrossRef] [PubMed]

T. A. Birks, J. C. Knight, and P. St. J. Russell, Opt. Lett. 22, 961 (1997).
[CrossRef] [PubMed]

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]

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, Princeton, N.J., 1995), pp. 66–77.

Mermin, N. D.

N. W. Ashcroft and N. D. Mermin, in Solid State Physics (Saunders/Harcourt Brace, Fort Worth, Tex., 1976), pp. 577–580.

Miret, J. J.

A. Ferrando, E. Silvestre, J. J. Miret, P. Andrés, and M. V. Andrés, Opt. Lett. 24, 276 (1999).
[CrossRef]

A. Ferrando, E. Silvestre, J. J. Miret, J. A. Monsoriu, M. V. Andrés, and P. St. J. Russell, Electron. Lett. 35, 325 (1999).
[CrossRef]

Mogilevstev, D.

J. Broeng, D. Mogilevstev, S. E. Barkou, and A. Bjarklev, Opt. Fiber Technol. Mater. Devices Syst. 5, 305 (1999).
[CrossRef]

Monro, T. M.

Monsoriu, J. A.

A. Ferrando, E. Silvestre, J. J. Miret, J. A. Monsoriu, M. V. Andrés, and P. St. J. Russell, Electron. Lett. 35, 325 (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]

Richardson, D. J.

Russell, P. St. J.

A. Ferrando, E. Silvestre, J. J. Miret, J. A. Monsoriu, M. V. Andrés, and P. St. J. Russell, Electron. Lett. 35, 325 (1999).
[CrossRef]

J. C. Knight, J. Broeng, T. A. Birks, and P. St. J. Russell, Science 282, 1476 (1998).
[CrossRef] [PubMed]

T. A. Birks, J. C. Knight, and P. St. J. Russell, Opt. Lett. 22, 961 (1997).
[CrossRef] [PubMed]

Silvestre, E.

A. Ferrando, E. Silvestre, J. J. Miret, J. A. Monsoriu, M. V. Andrés, and P. St. J. Russell, Electron. Lett. 35, 325 (1999).
[CrossRef]

A. Ferrando, E. Silvestre, J. J. Miret, P. Andrés, and M. V. Andrés, Opt. Lett. 24, 276 (1999).
[CrossRef]

Winn, J. N.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, Princeton, N.J., 1995), pp. 66–77.

Yablonovitch, E.

E. Yablonovitch, J. Opt. Soc. Am. B 10, 283 (1993).
[CrossRef]

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]

Electron. Lett.

A. Ferrando, E. Silvestre, J. J. Miret, J. A. Monsoriu, M. V. Andrés, and P. St. J. Russell, Electron. Lett. 35, 325 (1999).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Fiber Technol. Mater. Devices Syst.

J. Broeng, D. Mogilevstev, S. E. Barkou, and A. Bjarklev, Opt. Fiber Technol. Mater. Devices Syst. 5, 305 (1999).
[CrossRef]

Opt. Lett.

Phys. Rev. Lett.

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

J. C. Knight, J. Broeng, T. A. Birks, and P. St. J. Russell, Science 282, 1476 (1998).
[CrossRef] [PubMed]

Other

N. W. Ashcroft and N. D. Mermin, in Solid State Physics (Saunders/Harcourt Brace, Fort Worth, Tex., 1976), pp. 577–580.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, Princeton, N.J., 1995), pp. 66–77.

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Figures (4)

Fig. 1
Fig. 1

Transverse section of the modeled PCF with a central airhole defect of a different radius ba from that of the other cells. Some unit cells of the triangular lattice are shown.

Fig. 2
Fig. 2

Modal dispersion curve for two acceptor modes characterized by different ratios b/a. The filling fraction of the PCF structure is f=0.30.

Fig. 3
Fig. 3

Modal dispersion curve for three donor modes characterized by different ratios b/a. The triangular lattice parameters are the same as in Fig. 2.

Fig. 4
Fig. 4

Transverse irradiance distribution of the intraband mode corresponding to a ratio b/a=0.45 in Fig. 3 for λ=903 nm.

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