Abstract

In addition to rays that lose energy by undergoing refraction, there is a large class of weakly attenuated rays in circular optical fibers. These leaky rays are incorrectly predicted to be lossless by Fresnel’s laws. Thus, Fresnel’s laws fail for the analysis of long fibers. The significance and properties of leaky rays are discussed. A very simple attenuation coefficient is given, from which the loss of all rays is computed. This attenuation coefficient makes it possible to extend the use of ray tracing and Snell’s laws for analyzing circular optical fibers.

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  1. N. S. Kapany, Fiber Optics (Academic, New York, 1967), p. 31.
  2. V. Maxia, M. Murgia, and K. Testa, Appl. Opt. 12, 98 (1973).
  3. J. P. Dakin, W. A. Gambling, H. Matsumra, D. N. Payne, and H. R. D. Sunak, Opt. Commun. 7, 1 (1973).
  4. R. J. Potter, J. Opt. Soc. Am. 51, 1079 (1961).
  5. R. E. Collin, Field Theory of Guided Waves (McGraw-Hill, New York, 1960), p. 470.
  6. N. S. Kapany and J. J. Burke, Optical Waveguides (Academic, New York, 1972), p. 7.
  7. A. W. Snyder, IEEE Trans Microwave Theory Tech. 17, 1130 (1969).
  8. D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), p. 305.
  9. A. W. Snyder and D. J. Mitchell, Electron. Lett. 9, 437 (1973).
  10. A. W. Snyder and C. Pask, J. Opt. Soc. Am. 63, 806 (1973).
  11. R. D. Maurer, Proc. IEEE 61, 452 (1973).
  12. A. W. Snyder, C. Pask, and D. J. Mitchell, J. Opt. Soc. Am. 63, 59 (1973).
  13. F. G. Reick, Appl. Opt. 4, 1395 (1965).
  14. D. Marcuse, J. Opt. Soc. Am. 63, 1372 (1973).
  15. A. W. Snyder and D. J. Mitchell, J. Opt. Soc. Am. 64, 599 (1974).

Burke, J. J.

N. S. Kapany and J. J. Burke, Optical Waveguides (Academic, New York, 1972), p. 7.

Collin, R. E.

R. E. Collin, Field Theory of Guided Waves (McGraw-Hill, New York, 1960), p. 470.

Dakin, J. P.

J. P. Dakin, W. A. Gambling, H. Matsumra, D. N. Payne, and H. R. D. Sunak, Opt. Commun. 7, 1 (1973).

Gambling, W. A.

J. P. Dakin, W. A. Gambling, H. Matsumra, D. N. Payne, and H. R. D. Sunak, Opt. Commun. 7, 1 (1973).

Kapany, N. S.

N. S. Kapany, Fiber Optics (Academic, New York, 1967), p. 31.

N. S. Kapany and J. J. Burke, Optical Waveguides (Academic, New York, 1972), p. 7.

Marcuse, D.

D. Marcuse, J. Opt. Soc. Am. 63, 1372 (1973).

D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), p. 305.

Matsumra, H.

J. P. Dakin, W. A. Gambling, H. Matsumra, D. N. Payne, and H. R. D. Sunak, Opt. Commun. 7, 1 (1973).

Maurer, R. D.

R. D. Maurer, Proc. IEEE 61, 452 (1973).

Maxia, V.

V. Maxia, M. Murgia, and K. Testa, Appl. Opt. 12, 98 (1973).

Mitchell, D. J.

A. W. Snyder, C. Pask, and D. J. Mitchell, J. Opt. Soc. Am. 63, 59 (1973).

A. W. Snyder and D. J. Mitchell, J. Opt. Soc. Am. 64, 599 (1974).

A. W. Snyder and D. J. Mitchell, Electron. Lett. 9, 437 (1973).

Murgia, M.

V. Maxia, M. Murgia, and K. Testa, Appl. Opt. 12, 98 (1973).

Pask, C.

A. W. Snyder, C. Pask, and D. J. Mitchell, J. Opt. Soc. Am. 63, 59 (1973).

A. W. Snyder and C. Pask, J. Opt. Soc. Am. 63, 806 (1973).

Payne, D. N.

J. P. Dakin, W. A. Gambling, H. Matsumra, D. N. Payne, and H. R. D. Sunak, Opt. Commun. 7, 1 (1973).

Potter, R. J.

R. J. Potter, J. Opt. Soc. Am. 51, 1079 (1961).

Reick, F. G.

F. G. Reick, Appl. Opt. 4, 1395 (1965).

Snyder, A. W.

A. W. Snyder and C. Pask, J. Opt. Soc. Am. 63, 806 (1973).

A. W. Snyder, C. Pask, and D. J. Mitchell, J. Opt. Soc. Am. 63, 59 (1973).

A. W. Snyder and D. J. Mitchell, J. Opt. Soc. Am. 64, 599 (1974).

A. W. Snyder, IEEE Trans Microwave Theory Tech. 17, 1130 (1969).

A. W. Snyder and D. J. Mitchell, Electron. Lett. 9, 437 (1973).

Sunak, H. R. D.

J. P. Dakin, W. A. Gambling, H. Matsumra, D. N. Payne, and H. R. D. Sunak, Opt. Commun. 7, 1 (1973).

Testa, K.

V. Maxia, M. Murgia, and K. Testa, Appl. Opt. 12, 98 (1973).

Other

N. S. Kapany, Fiber Optics (Academic, New York, 1967), p. 31.

V. Maxia, M. Murgia, and K. Testa, Appl. Opt. 12, 98 (1973).

J. P. Dakin, W. A. Gambling, H. Matsumra, D. N. Payne, and H. R. D. Sunak, Opt. Commun. 7, 1 (1973).

R. J. Potter, J. Opt. Soc. Am. 51, 1079 (1961).

R. E. Collin, Field Theory of Guided Waves (McGraw-Hill, New York, 1960), p. 470.

N. S. Kapany and J. J. Burke, Optical Waveguides (Academic, New York, 1972), p. 7.

A. W. Snyder, IEEE Trans Microwave Theory Tech. 17, 1130 (1969).

D. Marcuse, Light Transmission Optics (Van Nostrand Reinhold, New York, 1972), p. 305.

A. W. Snyder and D. J. Mitchell, Electron. Lett. 9, 437 (1973).

A. W. Snyder and C. Pask, J. Opt. Soc. Am. 63, 806 (1973).

R. D. Maurer, Proc. IEEE 61, 452 (1973).

A. W. Snyder, C. Pask, and D. J. Mitchell, J. Opt. Soc. Am. 63, 59 (1973).

F. G. Reick, Appl. Opt. 4, 1395 (1965).

D. Marcuse, J. Opt. Soc. Am. 63, 1372 (1973).

A. W. Snyder and D. J. Mitchell, J. Opt. Soc. Am. 64, 599 (1974).

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