Abstract
The characteristics of graded-index optical fibres with power-law core profile and homogeneous cladding have been studied using perturbation theory. Analytical expressions are derived for the cut-off frequency, propagation constant and, in the case of leaky modes, the attenuation coefficient of an arbitrary mode on such a fibre. For the case of monomode fibres, excellent agreement is found with existing theoretical results for the propagation constant of the HE11 mode and cut-off frequency of the TE01 mode.
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References
D. Gloge andE. A. J. Marcatili,Bell. Syst. Tech. J. 52 (1973) 1563–78.
W. A. Gambling, D. N. Payne andH. Matsumura,Elect. Lett. 13 (1977) 139–40.
W. A. Gambling andH. Matsumura,Opt. Quant. Elect. 10 (1978) 31–40.
V. V. Shevchenko,Radio Eng. Elect. Phys. 19 (1974) 1–7.
K. Petermann,Arch. Elektron. Übertragungstech. 29 (1975) 345–48.
W. Streifer andC. N. Kurtz,J. Opt. Soc. Amer. 57 (1967) 779–86.
C. N. Kurtz andW. Streifer,IEEE Trans. Microwave Theory Tech. MTT-17 (1969) 11–15.
Idem, ibid MTT-17 (1969) 250–53.
M. Hashimoto, S. Nemoto andT. Makimoto,ibid MTT-25 (1977) 11–17.
P. J. B. Clarricoats andK. B. Chan,Elect. Lett. 6 (1970) 694–95.
G. L. Yip andY. H. Ahmew,ibid 10 (1974) 37–38.
J. G. Dil andH. Blok,Opto-electronics 5 (1973) 415–28.
J. E. Midwinter,Opt. Quant. Elect. 7 (1975) 289–96.
K. Okamoto andT. Okoshi,IEEE Trans. Microwave Theory Tech. MTT-24 (1976) 416–21.
D. Marcuse,Bell Syst. Tech. J. 56 (1977) 703–18.
Idem, J. Opt. Soc. Amer. 68 (1978) 103–09.
R. Yamada, T. Meiri andN. Okamoto,J. Opt. Soc. Amer. 67 (1977) 96–103.
C. G. Someda andM. Zoboli,Elect. Lett. 11 (1975) 602–03.
A. Kumar andA. K. Ghatak,Opt. Acta 23 (1976) 413–19.
A. W. Snyder,IEEE Trans. Microwave Theory Tech. MTT-17 (1969) 1130–38.
K. Thyagarajan andA. K. Ghatak,Opt. Commun. 11 (1974) 417–21.
R. Sammut andA. W. Snyder,Appl. Opt. 15 (1976) 1040–44.
Idem, ibid (1976) 2953.
Idem, ibid 15 (1976) 477–82.
Y. L. Luke, ‘Integrals of Bessel Functions’, (McGraw-Hill, New York, 1962) Ch. 11.
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On leave from Department of Physics, IIT, New Delhi, India.
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Sammut, R.A., Ghatak, A.K. Perturbation theory of optical fibres with power-law core profile. Opt Quant Electron 10, 475–482 (1978). https://doi.org/10.1007/BF00619848
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DOI: https://doi.org/10.1007/BF00619848