Mode-field radius of photonic crystal fibers expressed by the V parameter.

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.

[1]  T A Birks,et al.  Group-velocity dispersion in photonic crystal fibers. , 1998, Optics letters.

[2]  Dietrich Marcuse,et al.  Gaussian approximation of the fundamental modes of graded-index fibers , 1978 .

[3]  P Andrés,et al.  Full-vector analysis of a realistic photonic crystal fiber. , 1999, Optics letters.

[4]  Timothy A. Birks,et al.  Highly increased photonic band gaps in silica/air structures , 1998 .

[5]  Jacob Riis Folkenberg,et al.  Modal cutoff and the V parameter in photonic crystal fibers. , 2003, Optics letters.

[6]  R. McPhedran,et al.  Multipole method for microstructured optical fibers. I. Formulation , 2003 .

[7]  Steven G. Johnson,et al.  Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis. , 2001, Optics express.

[8]  J. Broeng,et al.  Numerical aperture of single-mode photonic crystal fibers , 2002, IEEE Photonics Technology Letters.

[9]  Timothy A. Birks,et al.  Properties of photonic crystal fiber and the effective index model , 1998 .

[10]  Near-field to far-field transition of photonic crystal fibers: symmetries and interference phenomena. , 2002, Optics express.

[11]  P. Russell,et al.  Endlessly single-mode photonic crystal fiber. , 1997, Optics letters.

[12]  D. M. Atkin,et al.  All-silica single-mode optical fiber with photonic crystal cladding. , 1996, Optics letters.

[13]  David N. Payne,et al.  Cut-off frequency in radially inhomogeneous single-mode fibre , 1977 .

[14]  R. McPhedran,et al.  Multipole method for microstructured optical fibers. II. Implementation and results , 2002 .

[15]  David J. Richardson,et al.  Holey optical fibers: an efficient modal model , 1999 .