Abstract
We obtain asymptotic expressions for the eigenvalue difference of the waveguide modes of an optical fiber with step-index profile. The estimation of accuracy of the formulas is presented. Relationship between the indices of the modes that form linearly polarized groups and the roots of the characteristic equation and the principal mode number is considered. Estimates for the difference between the eigenvalues and the decay length of linearly polarized groups in a perfect dielectric fiber are obtained. The results of experimental studies of the integral degree of linear polarization of the output radiation are shown for different input angles and their comparison with the theory is carried out.
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References
H. G. Unger, Planar Optical Waveguides and Fibers, Clarendon Press, Oxford (1978).
D. Gloge, Appl. Opt., 10, No. 10, 2252 (1971).
A. D. Shatrov, Radiotekh. Élektron., 26, No. 3, 505 (1981).
I. P. Kaminow, IEEE J. Quantum Electron., 17, No. 1, 15 (1981).
E. M. Dianov, G. L. Dyankov, and V. B. Neustruev, Sov. Quantum Electron., 14, No. 6, 714 (1987).
A. W. Snyder and J. D. Love, Optical Waveguide Theory, Chapman & Hall, New York (1983).
L. G. Cohen, The Bell System Tech. J., 50, No. 1, 23 (1971).
O. I. Kotov, O. L. Marusov, V. M. Nikolaev, and V. N. Filippov, Opt. Spektrosc., 70, No. 4, 540 (1991).
A. Papp and H. Harms, Appl. Opt., 14, 2406 (1975).
I. P. Kaminow, J. R. Simpson, H. M. Presby, and J. B. MacChesney, Electron. Lett., 15, 677 (1979).
R. B. Dyott, Elliptical Fiber Waveguides, Artech House, Norwood (1995).
M. S. Sodha and A. K. Ghatak, Inhomogenous Optical Wave-Guides, Plenum, New York (1981).
E. Snitzer, J. Opt. Soc. Am., 51, No. 5, 491 (1961).
D. V. Kiesewetter, Radiophys. Quantum Electron., 46, No. 3, 204 (2003).
N. A. Semenov, Optical Communication Cables. Theory and Calculation [in Russian], Radio i Svyaz’, Moscow (1981).
A. B. Grudinin, G. L. Dyankov, and V. B. Neustruev, Sov. Quantum Electron., 16, No. 11, 1522 (1986).
D. V. Kiesewetter and V. I. Malyugin, Opt. Spektrosc., 97, No. 5, 822 (2004).
A. I. Kugushev, A. A. Kerimov, and M. Ya. Yakovlev, Zarub. Radioélektron., No. 7, 54 (1983).
E. Janke, F. Emde, and F. Lösch, Tables of Higher Functions, McGraw-Hill, New York (1960).
G. N. Watson, Theory of Bessel Functions, Cambridge Univ. Press, Cambridge (1966).
D. V. Kiesewetter and V. I. Malyugin, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 28, No. 1, 128 (1985).
Principles of Fiber-Optical Communication [in Russian], Sovetskoe Radio, Moscow (1980).
A. M. Bykov, A. V. Volyar, and L. M. Kuchikyan, Opt.-Mekh. Promyshl., No. 4, 12 (1983).
R. Azzam and N. Bashara, Ellipsometry and Polarized Light, Morth-Holland, Amsterdam (1977).
L. M. Kuchikyan and A. V. Bolyar, Ukr. Fiz. Zh., 22, No. 10, 1658 (1977).
A. M. Bykov, A. V. Volyar, M. E. Kondakov, and L. M. Kuchikyan, Opt. Spektrosk., 53, No. 3, 517 (1982).
A. M. Bykov and A. V. Volyar, Opt. Spektrosk., 56, No. 5, 894 (1984).
D. V. Kiesewetter, Radiotekh. Élektron., 48, No. 8, 614 (2005).
D. V. Kiesewetter and V. I. Malyugin, Opt.-Mekh. Promyshl., No. 9, 48 (1989).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 50, No. 5, pp. 426–440, May 2007.
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Kiesewetter, D.V. Asymptotic formulas for calculating the decay length of linearly polarized groups in optical fibers with step-index profile. Radiophys Quantum Electron 50, 388–401 (2007). https://doi.org/10.1007/s11141-007-0036-6
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DOI: https://doi.org/10.1007/s11141-007-0036-6