Abstract

By using a full-vector boundary element method (BEM) based on a formulation in terms of transverse magnetic field components, holey fibers (HFs) are numerically analyzed. The BEM provides very accurate solutions with an extremely small number of unknowns. Not only the characteristics of all-silica HFs, but also those of hole-assisted lightguide fibers and field-confined HFs, are investigated and compared with each other.

© 2003 IEEE

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J. Lightwave Technol. (3)

Other (20)

N. Morita, "A method extending the boundary condition for analyzing guided modes of dielectric waveguides of arbitrary cross-sectional shape", IEEE Trans. Microwave Theory Tech., vol. MTT-30, pp. 6-12, Jan. 1982.

W. Yang and A. Gopinath, "A boundary integral method for propagation problems in integrated optical structures", IEEE Photon. Technol. Lett., vol. 7, pp. 777-779, July 1995.

S.-Y. Lin and C. C. Lee, "A full wave analysis of microstrips by the boundary element method", IEEE Trans. Microwave Theory Tech. , vol. 44, pp. 1977-1983, Nov. 1996.

P. Cecchini, F. Bardati and R. Ravanelli, "A general approach to edge singularity extraction near composed wedges in boundary-element method", IEEE Trans. Microwave Theory Tech., vol. 49, pp. 730-733, Apr. 2001 .

B. Toland and T. Itoh, "Boundary element analysis of a trapezoidal transmission line", IEEE Trans. Microwave Theory Tech., vol. 41, pp. 1052-1056, Jun./Jul. 1993.

Y. Kagawa, Y. Sun and Z. Mahmood, "Regular boundary integral formulation for the analysis of open dielectric/optical waveguides", IEEE Trans. Microwave Theory Tech., vol. 44, pp. 1441-1450, Aug. 1996.

G. G. Gentili, "Boundary-element analysis of planar circulators: A discussion on spurious solutions and their elimination", IEEE Trans. Magn., vol. 31, pp. 862-869, Jan. 1995 .

C.-C. Su, "A surface integral equations method for homogeneous optical fibers and coupled image lines of arbitrary cross sections", IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 1114-1119, Nov. 1985.

M. Matsuhara and K. Nakamura, "Integral equation solution method of two-dimensional electromagnetic fields-A method to employ the transverse field components (in Japanese)", IEICE Trans., vol. J74-C-I, no. 6, pp. 199 -204, 1991.

M. Matsuhara, H. Yoshii and S. Kuno, "Numerical analysis of two dimensional scattering problems by a boundary element method (in Japanese)", IEICE Trans., vol. J82-C-I, no. 6, pp. 396-397, 1999.

J. C. Knight, T. A. Birks, P. S. J.P. St. J. Russell and D. M. Atkin, "All-silica single-mode optical fiber with photonic crystal cladding", Opt. Lett., vol. 21, no. 19, pp. 1547-1549, 1996.

T. Hasegawa, E. Sasaoka, M. Onishi and M. Nishimura, "Novel hole-assisted lightguide fiber exhibiting large anomalous dispersion and low loss below 1 dB/km", in Proc. OFC '01, Anaheim, CA, Mar. 2001,PD5.

N. Guan, S. Habu, K. Himeno and A. Wada, "Characteristics of field confined holey fiber analyzed by boundary element method", in Proc. OFC '02, Anaheim, CA, Mar. 2002,ThS5.

T. A. Birks, J. C. Knight and P. S. J.P. St. J. Russell, "Endlessly single-mode photonic crystal fiber", Opt. Lett., vol. 22, no. 13, pp. 961-963, 1997.

A. Ferrando, E. Silvester, J. J. Miret, P. Andrés and M. V. Andrés, "Full-vector analysis of a realistic photonic crystal fiber", Opt. Lett., vol. 24, no. 5, pp. 276-278, 1999.

J. Broeng, S. E. Barkou, T. Søndergaard and A. Bjarklev, "Analysis of air-guiding photonic bandgap fibers", Opt. Lett. , vol. 25, no. 2, pp. 96-98, 2000.

M. J. Steel and R. M. Osgood Jr., "Elliptical-hole photonic crystal fibers", Opt. Lett., vol. 26, no. 4, pp. 229-231, 2001.

M. Koshiba, "Full-vector analysis of photonic crystal fibers using the finite element method", IEICE Trans. Electron. , vol. E85-C, no. 4, pp. 881-888, 2002.

T. A. Birks, J. C. Knight, B. J. Mangan and P. S. J.P. St. J. Russell, "Photonic crystal fibers: an endless variety", IEICE Trans. Commun., vol. E84-B, no. 5, pp. 1211-1217, 2001.

P. S. J.P. St. J. Russell, J. C. Knight, T. A. Birks, B. J. Mangan and W. J. Wadsworth, "Recent progress in photonic crystal fibers", in Proc. OFC '00, Baltimore, MD, Mar. 2000,ThG1.

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