Abstract

The phenomena of optical coupling of parallel fibers and scattering of light from a fiber due to rough walls are considered from a mode point of view. With the use of a Green’s function, the problems are cast in the form of integral equations. Coupled ordinary differential equations are obtained which are used to study the coupling of modes in parallel fibers, including the case when the diameters are slowly-varying functions of the axial distance. The analysis of the problem of propagation in an optical fiber having rough walls shows that the various modes in a fiber will couple and that the roughness will cause radiation through the walls of the fiber. The character of the radiation may be determined if the spatial spectral density of the surface roughness is known.

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  1. N. S. Kapany, J. Opt. Soc. Am. 47, 413 (1957).
  2. R. J. Potter, J. Opt. Soc. Am. 51, 1079 (1961).
  3. N. S. Kapany and J. J. Burke, J. Opt. Soc. Am. 51, 1067 (1961).
  4. E. Snitzer, J. Opt. Soc. Am. 51, 491 (1961).
  5. E. Snitzer and H. Osterberg, J. Opt. Soc. Am. 51, 499 (1961).
  6. E. Snitzer, Advances in Quantum Electronics (Columbia University Press, New York, 1961).
  7. M. F. Bracey, A. L. Cullen, E. F. T. Gillespie, and J. A. Staniforth, IRE Trans. Antennas Propagation AP-7, S219 (1959).
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  9. G. Goubau, Proc. IRE 40, 865, (1952).
  10. S. E. Miller, Bell System Tech. J. 33, 661 (1954).
  11. T. Tamir and A. A. Oliner, Proc. IEEE 51, 317 (1963).
  12. W. R. MacLean, Quart. Appl. Math. 2, 329 (1945).
  13. W. Magnus and F. Oberhettinger, Special Functions of Mathematical Physics (Chelsea Publishing Company, New York, 1949).
  14. J. W. Miles, J. Acoust. Soc. Am. 26, 191 (1954).
  15. E. Parzen, Stochastic Processes (Holden-Day, San Francisco, 1962), p. 70.

Bracey, M. F.

M. F. Bracey, A. L. Cullen, E. F. T. Gillespie, and J. A. Staniforth, IRE Trans. Antennas Propagation AP-7, S219 (1959).

Burke, J. J.

N. S. Kapany and J. J. Burke, J. Opt. Soc. Am. 51, 1067 (1961).

Cullen, A. L.

M. F. Bracey, A. L. Cullen, E. F. T. Gillespie, and J. A. Staniforth, IRE Trans. Antennas Propagation AP-7, S219 (1959).

Gillespie, E. F. T.

M. F. Bracey, A. L. Cullen, E. F. T. Gillespie, and J. A. Staniforth, IRE Trans. Antennas Propagation AP-7, S219 (1959).

Goubau, G.

G. Goubau, Proc. IRE 40, 865, (1952).

Kapany, N. S.

N. S. Kapany, J. Opt. Soc. Am. 47, 413 (1957).

N. S. Kapany and J. J. Burke, J. Opt. Soc. Am. 51, 1067 (1961).

MacLean, W. R.

W. R. MacLean, Quart. Appl. Math. 2, 329 (1945).

Magnus, W.

W. Magnus and F. Oberhettinger, Special Functions of Mathematical Physics (Chelsea Publishing Company, New York, 1949).

Miles, J. W.

J. W. Miles, J. Acoust. Soc. Am. 26, 191 (1954).

Miller, S. E.

S. E. Miller, Bell System Tech. J. 33, 661 (1954).

Oberhettinger, F.

W. Magnus and F. Oberhettinger, Special Functions of Mathematical Physics (Chelsea Publishing Company, New York, 1949).

Oliner, A. A.

T. Tamir and A. A. Oliner, Proc. IEEE 51, 317 (1963).

Osterberg, H.

E. Snitzer and H. Osterberg, J. Opt. Soc. Am. 51, 499 (1961).

Parzen, E.

E. Parzen, Stochastic Processes (Holden-Day, San Francisco, 1962), p. 70.

Potter, R. J.

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

Snitzer, E.

E. Snitzer, J. Opt. Soc. Am. 51, 491 (1961).

E. Snitzer, Advances in Quantum Electronics (Columbia University Press, New York, 1961).

E. Snitzer and H. Osterberg, J. Opt. Soc. Am. 51, 499 (1961).

Staniforth, J. A.

M. F. Bracey, A. L. Cullen, E. F. T. Gillespie, and J. A. Staniforth, IRE Trans. Antennas Propagation AP-7, S219 (1959).

Stratton, J. A.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941).

Tamir, T.

T. Tamir and A. A. Oliner, Proc. IEEE 51, 317 (1963).

Other (15)

N. S. Kapany, J. Opt. Soc. Am. 47, 413 (1957).

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

N. S. Kapany and J. J. Burke, J. Opt. Soc. Am. 51, 1067 (1961).

E. Snitzer, J. Opt. Soc. Am. 51, 491 (1961).

E. Snitzer and H. Osterberg, J. Opt. Soc. Am. 51, 499 (1961).

E. Snitzer, Advances in Quantum Electronics (Columbia University Press, New York, 1961).

M. F. Bracey, A. L. Cullen, E. F. T. Gillespie, and J. A. Staniforth, IRE Trans. Antennas Propagation AP-7, S219 (1959).

J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941).

G. Goubau, Proc. IRE 40, 865, (1952).

S. E. Miller, Bell System Tech. J. 33, 661 (1954).

T. Tamir and A. A. Oliner, Proc. IEEE 51, 317 (1963).

W. R. MacLean, Quart. Appl. Math. 2, 329 (1945).

W. Magnus and F. Oberhettinger, Special Functions of Mathematical Physics (Chelsea Publishing Company, New York, 1949).

J. W. Miles, J. Acoust. Soc. Am. 26, 191 (1954).

E. Parzen, Stochastic Processes (Holden-Day, San Francisco, 1962), p. 70.

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