Abstract

We present a procedure for achieving photonic crystal fibers with nearly zero ultraflattened group-velocity dispersion. Systematic knowledge of the special guiding properties of these fibers permits the achievement of qualitatively novel dispersion curves. Unlike the behavior of conventional fibers, this new type of dispersion behavior permits remarkably improved suppression of third-order dispersion, particularly in the low-dispersion domain.

© 2000 Optical Society of America

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References

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  1. X. Wang, K. Kikuchi, and Y. Takushima, IEICE Trans. Commun. E82B, 1141 (1999).
  2. F. Futami, Y. Takushima, and K. Kikuchi, IEICE Trans. Commun. E82B, 1265 (1999).
  3. R. W. Tkach, A. R. Chraplyvy, F. Forghiery, A. H. Gnauck, and R. P. Derosier, J. Lightwave Technol. 13, 841 (1995).
    [CrossRef]
  4. J. J. Bernard, C. Brehm, J.-Y. Boniort, Ph. Dupont, J.-M. Gabriagues, C. Le Sergent, M. Liegois, P. François, M. Monerie, and P. Sansonetti, Ann. Telecommun. 38, 47 (1983).
  5. P. B. Bachmann, D. Leers, H. Wehr, D. U. Wiechert, J. A. Van Steenwijk, D. L. A. Tjaden, and E. R. Wehrhahn, J. Lightwave Technol. 4, 858 (1986).
    [CrossRef]
  6. A. Ferrando, E. Silvestre, J. J. Miret, J. A. Monsoriu, M. V. Andrés, and P. St. J. Russell, Electron. Lett. 35, 325 (1999).
    [CrossRef]
  7. T. M. Monro, D. J. Richardson, N. G. R. Broderick, and P. J. Bennett, J. Lightwave Technol. 17, 1093 (1999).
    [CrossRef]
  8. J. C. Knight, T. A. Birks, P. St. J. Russell, and D. M. Atkin, Opt. Lett. 21, 1547 (1996); erratum, Opt. Lett. 22, 484 (1997).
    [CrossRef] [PubMed]
  9. T. A. Birks, J. C. Knight, and P. St. J. Russell, Opt. Lett. 22, 961 (1997).
    [CrossRef] [PubMed]
  10. D. Mogilevtsev, T. A. Birks, and P. St. J. Russell, Opt. Lett. 23, 1662 (1998).
    [CrossRef]
  11. A. Ferrando, J. J. Miret, E. Silvestre, P. Andrés, and M. V. Andrés, Opt. Lett. 24, 276 (1999).
    [CrossRef]
  12. E. Silvestre, M. V. Andrés, and P. Andrés, J. Lightwave Technol. 16, 923 (1998).
    [CrossRef]
  13. P. J. Bennett, T. M. Monro, and D. J. Richardson, Opt. Lett. 24, 1203 (1999).
    [CrossRef]
  14. D. Davidson, in Optical-Fiber Transmission, E. E. Bert Basch, ed. (H. W. Sams, Indianapolis, Ind., 1987), pp. 27–64.

1999 (6)

X. Wang, K. Kikuchi, and Y. Takushima, IEICE Trans. Commun. E82B, 1141 (1999).

F. Futami, Y. Takushima, and K. Kikuchi, IEICE Trans. Commun. E82B, 1265 (1999).

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

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

T. M. Monro, D. J. Richardson, N. G. R. Broderick, and P. J. Bennett, J. Lightwave Technol. 17, 1093 (1999).
[CrossRef]

1998 (2)

1997 (1)

1996 (1)

1995 (1)

R. W. Tkach, A. R. Chraplyvy, F. Forghiery, A. H. Gnauck, and R. P. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

1986 (1)

P. B. Bachmann, D. Leers, H. Wehr, D. U. Wiechert, J. A. Van Steenwijk, D. L. A. Tjaden, and E. R. Wehrhahn, J. Lightwave Technol. 4, 858 (1986).
[CrossRef]

1983 (1)

J. J. Bernard, C. Brehm, J.-Y. Boniort, Ph. Dupont, J.-M. Gabriagues, C. Le Sergent, M. Liegois, P. François, M. Monerie, and P. Sansonetti, Ann. Telecommun. 38, 47 (1983).

Andrés, M. V.

Andrés, P.

Atkin, D. M.

Bachmann, P. B.

P. B. Bachmann, D. Leers, H. Wehr, D. U. Wiechert, J. A. Van Steenwijk, D. L. A. Tjaden, and E. R. Wehrhahn, J. Lightwave Technol. 4, 858 (1986).
[CrossRef]

Bennett, P. J.

Bernard, J. J.

J. J. Bernard, C. Brehm, J.-Y. Boniort, Ph. Dupont, J.-M. Gabriagues, C. Le Sergent, M. Liegois, P. François, M. Monerie, and P. Sansonetti, Ann. Telecommun. 38, 47 (1983).

Birks, T. A.

Boniort, J.-Y.

J. J. Bernard, C. Brehm, J.-Y. Boniort, Ph. Dupont, J.-M. Gabriagues, C. Le Sergent, M. Liegois, P. François, M. Monerie, and P. Sansonetti, Ann. Telecommun. 38, 47 (1983).

Brehm, C.

J. J. Bernard, C. Brehm, J.-Y. Boniort, Ph. Dupont, J.-M. Gabriagues, C. Le Sergent, M. Liegois, P. François, M. Monerie, and P. Sansonetti, Ann. Telecommun. 38, 47 (1983).

Broderick, N. G. R.

Chraplyvy, A. R.

R. W. Tkach, A. R. Chraplyvy, F. Forghiery, A. H. Gnauck, and R. P. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Davidson, D.

D. Davidson, in Optical-Fiber Transmission, E. E. Bert Basch, ed. (H. W. Sams, Indianapolis, Ind., 1987), pp. 27–64.

Derosier, R. P.

R. W. Tkach, A. R. Chraplyvy, F. Forghiery, A. H. Gnauck, and R. P. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Dupont, Ph.

J. J. Bernard, C. Brehm, J.-Y. Boniort, Ph. Dupont, J.-M. Gabriagues, C. Le Sergent, M. Liegois, P. François, M. Monerie, and P. Sansonetti, Ann. Telecommun. 38, 47 (1983).

Ferrando, 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]

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

Forghiery, F.

R. W. Tkach, A. R. Chraplyvy, F. Forghiery, A. H. Gnauck, and R. P. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

François, P.

J. J. Bernard, C. Brehm, J.-Y. Boniort, Ph. Dupont, J.-M. Gabriagues, C. Le Sergent, M. Liegois, P. François, M. Monerie, and P. Sansonetti, Ann. Telecommun. 38, 47 (1983).

Futami, F.

F. Futami, Y. Takushima, and K. Kikuchi, IEICE Trans. Commun. E82B, 1265 (1999).

Gabriagues, J.-M.

J. J. Bernard, C. Brehm, J.-Y. Boniort, Ph. Dupont, J.-M. Gabriagues, C. Le Sergent, M. Liegois, P. François, M. Monerie, and P. Sansonetti, Ann. Telecommun. 38, 47 (1983).

Gnauck, A. H.

R. W. Tkach, A. R. Chraplyvy, F. Forghiery, A. H. Gnauck, and R. P. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Kikuchi, K.

F. Futami, Y. Takushima, and K. Kikuchi, IEICE Trans. Commun. E82B, 1265 (1999).

X. Wang, K. Kikuchi, and Y. Takushima, IEICE Trans. Commun. E82B, 1141 (1999).

Knight, J. C.

Le Sergent, C.

J. J. Bernard, C. Brehm, J.-Y. Boniort, Ph. Dupont, J.-M. Gabriagues, C. Le Sergent, M. Liegois, P. François, M. Monerie, and P. Sansonetti, Ann. Telecommun. 38, 47 (1983).

Leers, D.

P. B. Bachmann, D. Leers, H. Wehr, D. U. Wiechert, J. A. Van Steenwijk, D. L. A. Tjaden, and E. R. Wehrhahn, J. Lightwave Technol. 4, 858 (1986).
[CrossRef]

Liegois, M.

J. J. Bernard, C. Brehm, J.-Y. Boniort, Ph. Dupont, J.-M. Gabriagues, C. Le Sergent, M. Liegois, P. François, M. Monerie, and P. Sansonetti, Ann. Telecommun. 38, 47 (1983).

Miret, J. 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]

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

Mogilevtsev, D.

Monerie, M.

J. J. Bernard, C. Brehm, J.-Y. Boniort, Ph. Dupont, J.-M. Gabriagues, C. Le Sergent, M. Liegois, P. François, M. Monerie, and P. Sansonetti, Ann. Telecommun. 38, 47 (1983).

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]

Richardson, D. J.

Russell, P. St. J.

Sansonetti, P.

J. J. Bernard, C. Brehm, J.-Y. Boniort, Ph. Dupont, J.-M. Gabriagues, C. Le Sergent, M. Liegois, P. François, M. Monerie, and P. Sansonetti, Ann. Telecommun. 38, 47 (1983).

Silvestre, E.

Takushima, Y.

X. Wang, K. Kikuchi, and Y. Takushima, IEICE Trans. Commun. E82B, 1141 (1999).

F. Futami, Y. Takushima, and K. Kikuchi, IEICE Trans. Commun. E82B, 1265 (1999).

Tjaden, D. L. A.

P. B. Bachmann, D. Leers, H. Wehr, D. U. Wiechert, J. A. Van Steenwijk, D. L. A. Tjaden, and E. R. Wehrhahn, J. Lightwave Technol. 4, 858 (1986).
[CrossRef]

Tkach, R. W.

R. W. Tkach, A. R. Chraplyvy, F. Forghiery, A. H. Gnauck, and R. P. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

Van Steenwijk, J. A.

P. B. Bachmann, D. Leers, H. Wehr, D. U. Wiechert, J. A. Van Steenwijk, D. L. A. Tjaden, and E. R. Wehrhahn, J. Lightwave Technol. 4, 858 (1986).
[CrossRef]

Wang, X.

X. Wang, K. Kikuchi, and Y. Takushima, IEICE Trans. Commun. E82B, 1141 (1999).

Wehr, H.

P. B. Bachmann, D. Leers, H. Wehr, D. U. Wiechert, J. A. Van Steenwijk, D. L. A. Tjaden, and E. R. Wehrhahn, J. Lightwave Technol. 4, 858 (1986).
[CrossRef]

Wehrhahn, E. R.

P. B. Bachmann, D. Leers, H. Wehr, D. U. Wiechert, J. A. Van Steenwijk, D. L. A. Tjaden, and E. R. Wehrhahn, J. Lightwave Technol. 4, 858 (1986).
[CrossRef]

Wiechert, D. U.

P. B. Bachmann, D. Leers, H. Wehr, D. U. Wiechert, J. A. Van Steenwijk, D. L. A. Tjaden, and E. R. Wehrhahn, J. Lightwave Technol. 4, 858 (1986).
[CrossRef]

Ann. Telecommun. (1)

J. J. Bernard, C. Brehm, J.-Y. Boniort, Ph. Dupont, J.-M. Gabriagues, C. Le Sergent, M. Liegois, P. François, M. Monerie, and P. Sansonetti, Ann. Telecommun. 38, 47 (1983).

Electron. Lett. (1)

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

IEICE Trans. Commun. (2)

X. Wang, K. Kikuchi, and Y. Takushima, IEICE Trans. Commun. E82B, 1141 (1999).

F. Futami, Y. Takushima, and K. Kikuchi, IEICE Trans. Commun. E82B, 1265 (1999).

J. Lightwave Technol. (4)

R. W. Tkach, A. R. Chraplyvy, F. Forghiery, A. H. Gnauck, and R. P. Derosier, J. Lightwave Technol. 13, 841 (1995).
[CrossRef]

P. B. Bachmann, D. Leers, H. Wehr, D. U. Wiechert, J. A. Van Steenwijk, D. L. A. Tjaden, and E. R. Wehrhahn, J. Lightwave Technol. 4, 858 (1986).
[CrossRef]

T. M. Monro, D. J. Richardson, N. G. R. Broderick, and P. J. Bennett, J. Lightwave Technol. 17, 1093 (1999).
[CrossRef]

E. Silvestre, M. V. Andrés, and P. Andrés, J. Lightwave Technol. 16, 923 (1998).
[CrossRef]

Opt. Lett. (5)

Other (1)

D. Davidson, in Optical-Fiber Transmission, E. E. Bert Basch, ed. (H. W. Sams, Indianapolis, Ind., 1987), pp. 27–64.

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Figures (3)

Fig. 1
Fig. 1

Transverse section of a model PCF. The box with dimensions D×D corresponds to the unit cell used to implement periodic boundary conditions.

Fig. 2
Fig. 2

Representation of the total approximate dispersion (dashed–dotted curve) as the difference between the geometric dispersion, Dg (dotted curve), and the sign-changed material dispersion, -Dm (solid curve). a/Λ=0.3/2.3 and M=1, so Λ=2.3 µm and a=0.3 µm.

Fig. 3
Fig. 3

Exact representation of two nearly zero ultraflattened-dispersion PCF’s: (a) configuration with dispersion in the -1,+1 ps nm-1 km-1 interval over 543 nm, (b) curve with more-flattened dispersion within the -0.5,+0,5 ps nm-1 km-1 interval over 428 nm.

Equations (2)

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D=-λcd2neffdλ2,
Dλ1MDgλM+Dmλ.

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