Abstract

We propose, for the first time to our knowledge, an improved effective-index method (IEIM) that has the advantage of high speed and much better accuracy than the conventional effective-index method. The modal properties computed with the IEIM, such as effective index and dispersion, are closely matched to those of the multipole method as well as to experimental values.

© 2005 Optical Society of America

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References

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2004 (2)

2003 (1)

Y. Z. He and F. G. Shi, Opt. Commun. 225, 151 (2003).
[CrossRef]

2001 (2)

T. P. White, R. C. McPhedran, L. C. Botten, G. H. Smith, and C. M. de Sterke, Opt. Express 11, 721 (2001), http://www.opticsexpress.org.
[CrossRef]

F. Brechet, J. Marcou, D. Pagnoux, and P. Roy, Opt. Fiber Technol. 6, 181 (2001).
[CrossRef]

2000 (3)

1999 (1)

M. J. Gander, R. McBride, J. D. C. Jones, D. Mogilevtsev, T. A. Birks, J. C. Knight, and P. St. J. Russell, Electron. Lett. 30, 63 (1999).
[CrossRef]

1997 (1)

Andres, P.

Andrés, P.

Birks, T. A.

M. J. Gander, R. McBride, J. D. C. Jones, D. Mogilevtsev, T. A. Birks, J. C. Knight, and P. St. J. Russell, Electron. Lett. 30, 63 (1999).
[CrossRef]

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

Botten, L. C.

T. P. White, R. C. McPhedran, L. C. Botten, G. H. Smith, and C. M. de Sterke, Opt. Express 11, 721 (2001), http://www.opticsexpress.org.
[CrossRef]

Brechet, F.

F. Brechet, J. Marcou, D. Pagnoux, and P. Roy, Opt. Fiber Technol. 6, 181 (2001).
[CrossRef]

Burdge, G. L.

Eggleton, B. J.

Ferrando, A.

Gander, M. J.

M. J. Gander, R. McBride, J. D. C. Jones, D. Mogilevtsev, T. A. Birks, J. C. Knight, and P. St. J. Russell, Electron. Lett. 30, 63 (1999).
[CrossRef]

He, Y. Z.

Y. Z. He and F. G. Shi, Opt. Commun. 225, 151 (2003).
[CrossRef]

Jang, H. S.

Jones, J. D. C.

M. J. Gander, R. McBride, J. D. C. Jones, D. Mogilevtsev, T. A. Birks, J. C. Knight, and P. St. J. Russell, Electron. Lett. 30, 63 (1999).
[CrossRef]

Kerbage, C.

Kim, J. C.

Knight, J. C.

M. J. Gander, R. McBride, J. D. C. Jones, D. Mogilevtsev, T. A. Birks, J. C. Knight, and P. St. J. Russell, Electron. Lett. 30, 63 (1999).
[CrossRef]

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

Lee, B. H.

Lee, K. S.

Lim, J. H.

M. de Sterke, C.

T. P. White, R. C. McPhedran, L. C. Botten, G. H. Smith, and C. M. de Sterke, Opt. Express 11, 721 (2001), http://www.opticsexpress.org.
[CrossRef]

Marcou, J.

F. Brechet, J. Marcou, D. Pagnoux, and P. Roy, Opt. Fiber Technol. 6, 181 (2001).
[CrossRef]

McBride, R.

M. J. Gander, R. McBride, J. D. C. Jones, D. Mogilevtsev, T. A. Birks, J. C. Knight, and P. St. J. Russell, Electron. Lett. 30, 63 (1999).
[CrossRef]

McPhedran, R. C.

T. P. White, R. C. McPhedran, L. C. Botten, G. H. Smith, and C. M. de Sterke, Opt. Express 11, 721 (2001), http://www.opticsexpress.org.
[CrossRef]

Miret, J. J.

Mogilevtsev, D.

M. J. Gander, R. McBride, J. D. C. Jones, D. Mogilevtsev, T. A. Birks, J. C. Knight, and P. St. J. Russell, Electron. Lett. 30, 63 (1999).
[CrossRef]

Pagnoux, D.

F. Brechet, J. Marcou, D. Pagnoux, and P. Roy, Opt. Fiber Technol. 6, 181 (2001).
[CrossRef]

Roy, P.

F. Brechet, J. Marcou, D. Pagnoux, and P. Roy, Opt. Fiber Technol. 6, 181 (2001).
[CrossRef]

Russell, P. St. J.

M. J. Gander, R. McBride, J. D. C. Jones, D. Mogilevtsev, T. A. Birks, J. C. Knight, and P. St. J. Russell, Electron. Lett. 30, 63 (1999).
[CrossRef]

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

Shi, F. G.

Y. Z. He and F. G. Shi, Opt. Commun. 225, 151 (2003).
[CrossRef]

Silvestre, E.

Smith, G. H.

T. P. White, R. C. McPhedran, L. C. Botten, G. H. Smith, and C. M. de Sterke, Opt. Express 11, 721 (2001), http://www.opticsexpress.org.
[CrossRef]

Westbrook, P. S.

White, C. A.

White, T. P.

T. P. White, R. C. McPhedran, L. C. Botten, G. H. Smith, and C. M. de Sterke, Opt. Express 11, 721 (2001), http://www.opticsexpress.org.
[CrossRef]

Windeler, R. S.

Electron. Lett. (1)

M. J. Gander, R. McBride, J. D. C. Jones, D. Mogilevtsev, T. A. Birks, J. C. Knight, and P. St. J. Russell, Electron. Lett. 30, 63 (1999).
[CrossRef]

J. Lightwave Technol. (1)

Opt. Commun. (1)

Y. Z. He and F. G. Shi, Opt. Commun. 225, 151 (2003).
[CrossRef]

Opt. Express (1)

T. P. White, R. C. McPhedran, L. C. Botten, G. H. Smith, and C. M. de Sterke, Opt. Express 11, 721 (2001), http://www.opticsexpress.org.
[CrossRef]

Opt. Fiber Technol. (1)

F. Brechet, J. Marcou, D. Pagnoux, and P. Roy, Opt. Fiber Technol. 6, 181 (2001).
[CrossRef]

Opt. Lett. (5)

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Figures (5)

Fig. 1
Fig. 1

Effective refractive indices of a PCF for three values of d Λ ( Λ = 2.3 μ m ) .

Fig. 2
Fig. 2

rms error of the effective index of a PCF ( Λ = 2.3 μ m , d Λ = 0.2 ) computed by the CEIM.

Fig. 3
Fig. 3

Optimized effective core radii of a PCF ( Λ = 2.3 μ m ) .

Fig. 4
Fig. 4

Effective refractive indices of a PCF with optimized core radii for three values of d Λ ( Λ = 2.3 μ m ) .

Fig. 5
Fig. 5

Total dispersions of the PCF with Λ = 2.3 μ m and d = 0.621 μ m .

Equations (4)

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ρ Λ = c 1 { 1 + exp [ ( d Λ c 3 ) c 2 ] } ,
K 1 ( W ) W K 1 ( W ) = J 1 ( U ) 2 U J 1 ( U ) [ 1 + ( n Si n FSFM ) 2 ] { [ J 1 ( U ) 2 U J 1 ( U ) ] 2 [ 1 ( n Si n FSFM ) 2 ] 2 + f } 1 2 ,
f = ( 1 W 2 + 1 U 2 ) [ 1 W 2 + ( n Si n FSFM ) 2 1 U 2 ] ,
U = k 0 ρ ( n Si 2 n g 2 ) 1 2 , W = k 0 ρ ( n g 2 n FSFM 2 ) 1 2 .

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