Abstract

The back-scattered pattern produced by a plane-polarized beam incident normally on a large uncladded optical fiber can be used to determine the refractive index and the radius of the fiber. The geometricoptics method is used to analyze the pattern. A new procedure to find the radius of the fiber is proposed.The procedure can make use of nearly the whole of the back-scattered pattern, without need to measure exactly the positions of all of the individual fringes. Special attention is given to the limits of accuracy.

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  1. W. J. Onions and B. Ellingham, Brit. J. Appl. Phys. 10, 328 (1959).
  2. W. A. Farone and M. Kerker, J. Opt. Soc. Am. 56, 481 (1966).
  3. K. C. Kao, T. W. Davies, and R. Worthington, Rad. Elect. Eng. 39, 105 (1970).
  4. R. Horton and W. J. Williamson, J. Opt. Soc. Am. 63, 1204 (1973).
  5. H. M. Presby, J. Opt. Soc. Am. 64, 280 (1974).
  6. J. W. Y. Lit, Phys. in Canada 30, No. 3, 15 (1974).
  7. In Ref. 5, the plus signs in Eqs. (13) and (14), from which Eq. (18) is derived, should be replaced by minus signs.
  8. The author is grateful to H. M. Presby for sending an enlarged photo that corresponded to Fig. 6c in Ref. 5, which did not show the fine fringes, and also a suitably underexposed photo of the same back-scattered pattern, which showed clearly the fine structures.
  9. All of the scattered patterns presented in this article were calculated by assuming the amplitude of the incident ray to be unity, and by taking into account the Fresnel formulas for reflection and refraction.

Davies, T. W.

K. C. Kao, T. W. Davies, and R. Worthington, Rad. Elect. Eng. 39, 105 (1970).

Ellingham, B.

W. J. Onions and B. Ellingham, Brit. J. Appl. Phys. 10, 328 (1959).

Farone, W. A.

W. A. Farone and M. Kerker, J. Opt. Soc. Am. 56, 481 (1966).

Horton, R.

R. Horton and W. J. Williamson, J. Opt. Soc. Am. 63, 1204 (1973).

Kao, K. C.

K. C. Kao, T. W. Davies, and R. Worthington, Rad. Elect. Eng. 39, 105 (1970).

Kerker, M.

W. A. Farone and M. Kerker, J. Opt. Soc. Am. 56, 481 (1966).

Lit, J. W. Y.

J. W. Y. Lit, Phys. in Canada 30, No. 3, 15 (1974).

Onions, W. J.

W. J. Onions and B. Ellingham, Brit. J. Appl. Phys. 10, 328 (1959).

Presby, H. M.

The author is grateful to H. M. Presby for sending an enlarged photo that corresponded to Fig. 6c in Ref. 5, which did not show the fine fringes, and also a suitably underexposed photo of the same back-scattered pattern, which showed clearly the fine structures.

H. M. Presby, J. Opt. Soc. Am. 64, 280 (1974).

Williamson, W. J.

R. Horton and W. J. Williamson, J. Opt. Soc. Am. 63, 1204 (1973).

Worthington, R.

K. C. Kao, T. W. Davies, and R. Worthington, Rad. Elect. Eng. 39, 105 (1970).

Other (9)

W. J. Onions and B. Ellingham, Brit. J. Appl. Phys. 10, 328 (1959).

W. A. Farone and M. Kerker, J. Opt. Soc. Am. 56, 481 (1966).

K. C. Kao, T. W. Davies, and R. Worthington, Rad. Elect. Eng. 39, 105 (1970).

R. Horton and W. J. Williamson, J. Opt. Soc. Am. 63, 1204 (1973).

H. M. Presby, J. Opt. Soc. Am. 64, 280 (1974).

J. W. Y. Lit, Phys. in Canada 30, No. 3, 15 (1974).

In Ref. 5, the plus signs in Eqs. (13) and (14), from which Eq. (18) is derived, should be replaced by minus signs.

The author is grateful to H. M. Presby for sending an enlarged photo that corresponded to Fig. 6c in Ref. 5, which did not show the fine fringes, and also a suitably underexposed photo of the same back-scattered pattern, which showed clearly the fine structures.

All of the scattered patterns presented in this article were calculated by assuming the amplitude of the incident ray to be unity, and by taking into account the Fresnel formulas for reflection and refraction.

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