Abstract

A set of coupled-mode equations is derived to describe mode propagation in uniform and slightly non-uniform cylindrical optical-fiber systems. The coupling between fibers of an array made up of <i>n</i> identical fibers each at the vertex of a polygon and one at the center, which is not necessarily the same as its <i>n</i> neighbors, is determined. Examples of this array are two fibers, three fibers in a row, and a hexagonal array with a fiber in the center. Very simple expressions for the coupling coefficients are presented. Mode coupling on a lossy fiber is investigated and a simple expression for the loss of a HE<sub>11</sub> mode is given.

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  2. A. W. Snyder and P. A. V. Hall, Nature 223, (1970).
  3. W. Wijngaard, J. Opt. Soc. Am. 61, 1187 (1971).
  4. A. W. Snyder, J. Opt. Soc. Am. 62, 998 (1972).
  5. A. W. Snyder, Vision Res. 12, 1389 (1972).
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  7. A. W. Snyder, IEEE Trans. MTT-19, 720 (1971).
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  9. W. H. Louisell, Coupled Mode and Parametric Electronics (Wiley, New York, 1960).
  10. A. L. Jones, J. Opt. Soc. Am. 55, 261 (1965).
  11. D. Marcuse, Bell System Tech. J. 49, 274 (1970).
  12. D. Marcuse and R. M. Derosier, Bell System Tech. J. 48, 3217 (1969).
  13. R. Vanclooster and P. Phariseau, Physica 47, 485 (1970).
  14. D. Marcuse, Bell System Tech. J. 51, 229 (1972).
  15. A. W. Snyder, IEEE Trans. MTT-18, 383 (1970).
  16. A. W. Snyder, IEEE Trans. MTT-19, 402 (1971).
  17. A. W. Snyder, Ph.D. thesis, University of London (1966), Ch. 7.
  18. B. Friedman, Principles of Applied Mathematics (Wiley, New York, 1956).
  19. A. W. Snyder, IEEE Trans. MTT-18, 608 (1970).
  20. A. W. Snyder, Electron. Letters 6, 561 (1970).
  21. A.W. Snyder, IEEE Trans. MTT-17, 1130 (1969).
  22. A. W. Snyder, Proc. IEEE 60, 757 (1972).
  23. Processing of Optical Data by Organisms and by Machines, edited by W. Reichardt (Academic, New York, 1969).

Derosier, R. M.

D. Marcuse and R. M. Derosier, Bell System Tech. J. 48, 3217 (1969).

Friedman, B.

B. Friedman, Principles of Applied Mathematics (Wiley, New York, 1956).

Gloge, D.

D. Gloge, Proc. IEEE 58, 1513 (1970).

Hall, P. A. V.

A. W. Snyder and P. A. V. Hall, Nature 223, (1970).

Jones, A. L.

A. L. Jones, J. Opt. Soc. Am. 55, 261 (1965).

Kapany, N. S.

N. S. Kapany, Fiber Optics (Academic, New York, 1961).

Louisell, W. H.

W. H. Louisell, Coupled Mode and Parametric Electronics (Wiley, New York, 1960).

Marcuse, D.

D. Marcuse, Bell System Tech. J. 49, 274 (1970).

D. Marcuse and R. M. Derosier, Bell System Tech. J. 48, 3217 (1969).

D. Marcuse, Bell System Tech. J. 51, 229 (1972).

Phariseau, P.

R. Vanclooster and P. Phariseau, Physica 47, 485 (1970).

Snitzer, E.

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

Snyder, A. W.

A. W. Snyder, IEEE Trans. MTT-19, 720 (1971).

A.W. Snyder, IEEE Trans. MTT-17, 1130 (1969).

A. W. Snyder, IEEE Trans. MTT-19, 402 (1971).

A. W. Snyder, Electron. Letters 6, 561 (1970).

A. W. Snyder, Ph.D. thesis, University of London (1966), Ch. 7.

A. W. Snyder, IEEE Trans. MTT-18, 383 (1970).

A. W. Snyder, J. Opt. Soc. Am. 62, 998 (1972).

A. W. Snyder and P. A. V. Hall, Nature 223, (1970).

A. W. Snyder, IEEE Trans. MTT-18, 608 (1970).

A. W. Snyder, Vision Res. 12, 1389 (1972).

A. W. Snyder, Proc. IEEE 60, 757 (1972).

Vanclooster, R.

R. Vanclooster and P. Phariseau, Physica 47, 485 (1970).

Wijngaard, W.

W. Wijngaard, J. Opt. Soc. Am. 61, 1187 (1971).

Other (23)

D. Gloge, Proc. IEEE 58, 1513 (1970).

A. W. Snyder and P. A. V. Hall, Nature 223, (1970).

W. Wijngaard, J. Opt. Soc. Am. 61, 1187 (1971).

A. W. Snyder, J. Opt. Soc. Am. 62, 998 (1972).

A. W. Snyder, Vision Res. 12, 1389 (1972).

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

A. W. Snyder, IEEE Trans. MTT-19, 720 (1971).

N. S. Kapany, Fiber Optics (Academic, New York, 1961).

W. H. Louisell, Coupled Mode and Parametric Electronics (Wiley, New York, 1960).

A. L. Jones, J. Opt. Soc. Am. 55, 261 (1965).

D. Marcuse, Bell System Tech. J. 49, 274 (1970).

D. Marcuse and R. M. Derosier, Bell System Tech. J. 48, 3217 (1969).

R. Vanclooster and P. Phariseau, Physica 47, 485 (1970).

D. Marcuse, Bell System Tech. J. 51, 229 (1972).

A. W. Snyder, IEEE Trans. MTT-18, 383 (1970).

A. W. Snyder, IEEE Trans. MTT-19, 402 (1971).

A. W. Snyder, Ph.D. thesis, University of London (1966), Ch. 7.

B. Friedman, Principles of Applied Mathematics (Wiley, New York, 1956).

A. W. Snyder, IEEE Trans. MTT-18, 608 (1970).

A. W. Snyder, Electron. Letters 6, 561 (1970).

A.W. Snyder, IEEE Trans. MTT-17, 1130 (1969).

A. W. Snyder, Proc. IEEE 60, 757 (1972).

Processing of Optical Data by Organisms and by Machines, edited by W. Reichardt (Academic, New York, 1969).

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