Abstract

We numerically calculate the equivalent mode-field radius of the fundamental mode in a photonic crystal fiber (PCF) and show that this is a function of the V parameter only and not the relative hole size. This dependence is similar to what is found for graded-index standard fibers, and we furthermore show that the relation for the PCF can be excellently approximated with the same general mathematical expression. This is to our knowledge the first semianalytical description of the mode-field radius of a PCF.

© 2003 Optical Society of America

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2003 (1)

2002 (5)

T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, J. Opt. Soc. Am. B 19, 2322 (2002).
[CrossRef]

B. T. Kuhlmey, T. P. White, G. Renversez, D. Maystre, L. C. Botten, C. M. de Sterke, and R. C. McPhedran, J. Opt. Soc. Am. B 19, 2331 (2002).
[CrossRef]

N. A. Mortensen and J. R. Folkenberg, Opt. Express 10, 475 (2002), http://www.opticsexpress.org.
[CrossRef] [PubMed]

N. A. Mortensen, Opt. Express 10, 342 (2002), http://www.opticsexpress.org.

N. A. Mortensen, J. R. Folkenberg, P. M. W. Skovgaard, and J. Broeng, IEEE Photon. Technol. Lett. 14, 1094 (2002).
[CrossRef]

2001 (1)

1999 (2)

1998 (3)

1997 (1)

1996 (1)

1978 (1)

1977 (1)

W. A. Gambling, D. N. Payne, and H. Matsumyra, Electron. Lett. 13, 139 (1977).
[CrossRef]

Andrés, P.

Atkin, D. M.

Barkou, S. E.

J. Broeng, S. E. Barkou, A. Bjarklev, J. C. Knight, T. A. Birks, and P. St. J. Russell, Opt. Commun. 156, 240 (1998).
[CrossRef]

Bennett, P. J.

Birks, T. A.

Bjarklev, A.

J. Broeng, S. E. Barkou, A. Bjarklev, J. C. Knight, T. A. Birks, and P. St. J. Russell, Opt. Commun. 156, 240 (1998).
[CrossRef]

Botten, L. C.

T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, J. Opt. Soc. Am. B 19, 2322 (2002).
[CrossRef]

B. T. Kuhlmey, T. P. White, G. Renversez, D. Maystre, L. C. Botten, C. M. de Sterke, and R. C. McPhedran, J. Opt. Soc. Am. B 19, 2331 (2002).
[CrossRef]

Broderick, N. G. R.

Broeng, J.

N. A. Mortensen, J. R. Folkenberg, P. M. W. Skovgaard, and J. Broeng, IEEE Photon. Technol. Lett. 14, 1094 (2002).
[CrossRef]

J. Broeng, S. E. Barkou, A. Bjarklev, J. C. Knight, T. A. Birks, and P. St. J. Russell, Opt. Commun. 156, 240 (1998).
[CrossRef]

de Sterke, C. M.

T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, J. Opt. Soc. Am. B 19, 2322 (2002).
[CrossRef]

B. T. Kuhlmey, T. P. White, G. Renversez, D. Maystre, L. C. Botten, C. M. de Sterke, and R. C. McPhedran, J. Opt. Soc. Am. B 19, 2331 (2002).
[CrossRef]

Ferrando, A.

Folkenberg, J. R.

Gambling, W. A.

W. A. Gambling, D. N. Payne, and H. Matsumyra, Electron. Lett. 13, 139 (1977).
[CrossRef]

Hansen, K. P.

Joannopoulos, J. D.

Johnson, S. G.

Knight, J. C.

Kuhlmey, B. T.

B. T. Kuhlmey, T. P. White, G. Renversez, D. Maystre, L. C. Botten, C. M. de Sterke, and R. C. McPhedran, J. Opt. Soc. Am. B 19, 2331 (2002).
[CrossRef]

T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, J. Opt. Soc. Am. B 19, 2322 (2002).
[CrossRef]

Marcuse, D.

Matsumyra, H.

W. A. Gambling, D. N. Payne, and H. Matsumyra, Electron. Lett. 13, 139 (1977).
[CrossRef]

Maystre, D.

T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, J. Opt. Soc. Am. B 19, 2322 (2002).
[CrossRef]

B. T. Kuhlmey, T. P. White, G. Renversez, D. Maystre, L. C. Botten, C. M. de Sterke, and R. C. McPhedran, J. Opt. Soc. Am. B 19, 2331 (2002).
[CrossRef]

McPhedran, R. C.

B. T. Kuhlmey, T. P. White, G. Renversez, D. Maystre, L. C. Botten, C. M. de Sterke, and R. C. McPhedran, J. Opt. Soc. Am. B 19, 2331 (2002).
[CrossRef]

T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, J. Opt. Soc. Am. B 19, 2322 (2002).
[CrossRef]

Miret, J. J.

Mogilevtsev, D.

Monro, T. M.

Mortensen, N. A.

N. A. Mortensen, J. R. Folkenberg, M. D. Nielsen, and K. P. Hansen, Opt. Lett. 28, 1879 (2003).
[CrossRef] [PubMed]

N. A. Mortensen, Opt. Express 10, 342 (2002), http://www.opticsexpress.org.

N. A. Mortensen and J. R. Folkenberg, Opt. Express 10, 475 (2002), http://www.opticsexpress.org.
[CrossRef] [PubMed]

N. A. Mortensen, J. R. Folkenberg, P. M. W. Skovgaard, and J. Broeng, IEEE Photon. Technol. Lett. 14, 1094 (2002).
[CrossRef]

Nielsen, M. D.

Payne, D. N.

W. A. Gambling, D. N. Payne, and H. Matsumyra, Electron. Lett. 13, 139 (1977).
[CrossRef]

Renversez, G.

T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, J. Opt. Soc. Am. B 19, 2322 (2002).
[CrossRef]

B. T. Kuhlmey, T. P. White, G. Renversez, D. Maystre, L. C. Botten, C. M. de Sterke, and R. C. McPhedran, J. Opt. Soc. Am. B 19, 2331 (2002).
[CrossRef]

Richardson, D. J.

Russel, P. St. J.

Russell, P. St. J.

Silvestre, E.

Skovgaard, P. M. W.

N. A. Mortensen, J. R. Folkenberg, P. M. W. Skovgaard, and J. Broeng, IEEE Photon. Technol. Lett. 14, 1094 (2002).
[CrossRef]

White, T. P.

T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, J. Opt. Soc. Am. B 19, 2322 (2002).
[CrossRef]

B. T. Kuhlmey, T. P. White, G. Renversez, D. Maystre, L. C. Botten, C. M. de Sterke, and R. C. McPhedran, J. Opt. Soc. Am. B 19, 2331 (2002).
[CrossRef]

Electron. Lett. (1)

W. A. Gambling, D. N. Payne, and H. Matsumyra, Electron. Lett. 13, 139 (1977).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

N. A. Mortensen, J. R. Folkenberg, P. M. W. Skovgaard, and J. Broeng, IEEE Photon. Technol. Lett. 14, 1094 (2002).
[CrossRef]

J. Lightwave Technol. (1)

J. Opt. Soc. Am. B (1)

T. P. White, B. T. Kuhlmey, R. C. McPhedran, D. Maystre, G. Renversez, C. M. de Sterke, and L. C. Botten, J. Opt. Soc. Am. B 19, 2322 (2002).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (1)

J. Opt. Soc. Am. B (1)

Opt. Commun. (1)

J. Broeng, S. E. Barkou, A. Bjarklev, J. C. Knight, T. A. Birks, and P. St. J. Russell, Opt. Commun. 156, 240 (1998).
[CrossRef]

Opt. Express (3)

Opt. Lett. (5)

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Figures (2)

Fig. 1
Fig. 1

Calculated VPCF [from Eq. (1)] as a function of the normalized frequency, Λ/λ, for d/Λ=0.30, 0.35, 0.40, 0.45, 0.50, 0.55, 0.60, 0.65, 0.70 (from bottom curve to top). The dashed line indicates the single-mode boundary, VPCF=π.

Fig. 2
Fig. 2

Normalized mode-field radius for the PCF, wPCF/Λ, as a function of VPCF for d/Λ=0.3 and d/Λ=0.7, along with a numerical fit through these points (solid curve). The corresponding expression for the normalized mode-field radius, wSIF/a for the SIF as a function of VSIF is also shown (dashed curve). The two arrows indicate the higher-order mode cutoffs of the SIF and PCF.

Equations (3)

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

VPCFλ=2πλΛnco2λ-ncl2λ1/2,
wa=AV2/2+g+BV3/2+CV6.
Aeff=drIr2drI2r-1.

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