Abstract
The properties of the radiation eigenmodes propagating in lossy open waveguides (fibres) are examined by theŜ-operator method. The radiation eigenmode fields are demonstrated to be transversely unbounded at infinity. For these modes the orthogonal relationships are derived by regularization of divergent integrals.
Similar content being viewed by others
References
D. Marcuse, ‘Light Transmission Optics’ (Van Nostrand Reinhold, Princeton, New Jersey, 1972).
Idem, ‘Theory of Dielectric Optical Waveguides’ (Academic Press, New York, 1974).
V. V. Shevchenko, ‘Continuous Transitions in Open Waveguides’ (Golem, Boulder, Colombia, 1971).
D. P. Nyquist, D. R. Johnson andS. V. Hsu,J. Opt. Soc. Am. 71 (1981) 49.
C. Vassallo,ibid. 73 (1983) 680.
Idem, ibid. 69 (1979) 311.
R. A. Sammut,ibid. 72 (1982) 1335.
A. B. Manenkov,Opt. Quantum Electron. 22 (1990) 65.
A. W. Snyder andJ. D. Love, ‘Optical Waveguide Theory’ (Chapman and Hall, London, 1983).
M. J. Adams, ‘An Introduction to Optical Waveguides’ (Wiley, Chichester, 1981).
A. B. Manenkov,IEEE Trans. Microwave Theory Tech. 29 (1981) 906.
Idem, Radiophys. Quantum Electron. 13 (1970) 578.
Idem, ibid. 24 (1981) 60.
L. D. Landau andE. M. Lifshitz, ‘Quantum Mechanics’ (Pergamon Press, New York, 1977).
R. G. Newton, ‘Scattering Theory of Waves and Particles’ (McGraw-Hill, New York, 1966).
J. E. Goell,Bell System Tech. J. 48 (1969) 2133.
H. Bremerman, ‘Distributions, Complex Variables and Fourier Transforms’ (Addison-Wesley Publishers, Massachusetts, 1965).
I. M. Gel'fand andG. E. Shilov, ‘Generalized Functions', Vol. 1 (Academic Press, New York, 1964).
A. B. Manenkov,Radiophys. Quantum Electron. 19 (1976) 183.
L. A. Weinstein, ‘Open Resonators and Open Waveguides’ (Golem, Boulder, Colombia, 1969).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Manenkov, A.B. Eigenmodes expansions in lossy open waveguides (fibres). Opt Quant Electron 23, 621–632 (1991). https://doi.org/10.1007/BF00620088
Received:
Revised:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00620088