Abstract
Efficient versions of the finite element and integral equation methods have been developed to analyse the guided (surface) modes of an arbitrary shaped optical fibre. The first approach is based on the replacement of the open waveguide by the screen guide structure with an artificial impedance wall. The integral equation is solved by the adaptive collocation technique. The methods are used to calculate the dispersion characteristics of the elliptical fibre modes and their cut-off frequencies. The results obtained are compared with those calculated by other methods.
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References
K. S. Chiang, Opt. Quantum Electron. 26 (1994) S113.
A. I. Kleev. A. B. Manenkov and A. G. Rozhnev, J. Commun. Technol. Electron. 39 (1994) 90.
O. Leminger and R. Zengerle, Opt. Quantum Electron. 27 (1995) 1009.
C. Yeh, K. Ha and W. P. Brown, Appl. Opt. 18 (1979) 1490.
K. Hayata, M. Eguchi and M. Koshiba, IEEE Trans. MTT-36 (1988) 614.
M. J. McDougall and J. P. Webb, IEEE Trans. MTT-37 (1989) 1724.
J. A. M. Svedin, IEEE Trans. MTT-39 (1991) 258.
A. I. Zhbanov, A. B. Manenkov and A. G. Rozhnev, Sov. J. Commun. Technol. Electron. 35 (1990) 81.
K. Oyamada and T. Okoshi, Radio Sci. 17 (1982) 109.
L. Eyges, P. Gianino and P. Wintersteiner, J. Opt. Soc. Am. 69 (1979) 1226.
E. A. J. Marcatili, Bell System Tech. J. 48 (1969) 2071.
A. I. Kleev and A. B. Manenkov, Radiophys. Quantum Electron. 31 (1988) 75.
A. B. Manenkov, Izv. VUZ'ov - Radiofizika 40 (1997) 1004 (in Russian).
J. D. Jackson, Classical Electrodynamics (J. Wiley, New York, 1962).
J. H. Wilkinson and C. Reinsch, Linear Algebra (Handbook for Automatic Computation), Vol. 2 (Springer-Verlag, Berlin, 1971).
G. Strang and G. J. Fix, An Analysis of the Finite Element Method (Prentice-Hall, Englewood Cliffs, 1973).
K. S. Chiang, J. Lightwave Technol. 4 (1986) 980.
K. S. Chiang, Opt. Quantum Electon. 16 (1984) 487.
C.-C. Su, IEEE Trans. MTT-33 (1985) 1101.
S. Jiang and B. Liu, Opt. Quantum. Electron. 20 (1988) 23.
T. M. Benson, P. C. Kendall, M. Stern and D. A. Quinney, IEE Proc., pt. J 136 (1989) 97.
A. B. Manenkov, Izv. VUZ'ov - Radiofizika 33 (1990) 93 (in Russian).
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MANENKOV, A.B., ROZHNEV, A.G. Optical dielectric waveguide analysis, based on the modified finite element and integral equation methods. Optical and Quantum Electronics 30, 61–70 (1998). https://doi.org/10.1023/A:1006918809370
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DOI: https://doi.org/10.1023/A:1006918809370