Abstract

Highly accurate determination of the outer diameter of unclad glass fibers has been achieved by analyzing, at fixed scattering angle, the wavelength dependence of elastically scattered radiation. The positions of resonance peaks in the scattering spectrum are strongly dependent on fiber diameter. The linewidths of the peaks are sensitive to the circularity of the fiber cross section and to optical loss within or on the fiber surface. This new technique may be useful for the characterization of optical-communication fibers.

© 1981 Optical Society of America

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References

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  1. D. Marcuse, H. M. Presby, Appl. Opt. 18, 402 (1979).
    [CrossRef] [PubMed]
  2. D. H. Smithgall, L. S. Watkins, R. E. Frazee, Appl. Opt. 16, 2395 (1977).
    [CrossRef] [PubMed]
  3. H. M. Presby, J. Opt. Soc. Am. 64, 280 (1974).
    [CrossRef]
  4. L. S. Watkins, J. Opt. Soc. Am. 64, 767 (1974).
    [CrossRef]
  5. L. S. Watkins, Appl. Opt. 18, 4089 (1979).
    [CrossRef] [PubMed]
  6. M. A. G. Abushagur, N. George, Appl. Opt. 19, 2031 (1980).
    [CrossRef] [PubMed]
  7. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, London, 1957), p. 297.
  8. W. A. Farone, M. Kerker, J. Opt. Soc. Am. 56, 481 (1966).
    [CrossRef]
  9. A. Ashkin, J. M. Dziedzic, Phys. Rev. Lett. 38, 1351 (1977).
    [CrossRef]
  10. P. Chýlek, J. T. Kiehl, M. K. W. Ko, Phys. Rev. A 18, 2229 (1978).
    [CrossRef]
  11. G. J. Rosasco, H. S. Bennett, J. Opt. Soc. Am. 68, 1242 (1978).
    [CrossRef]
  12. R. E. Benner, P. W. Barber, J. F. Owen, R. K. Chang, Phys. Rev. Lett. 44, 475 (1980).
    [CrossRef]
  13. M. Gastine, L. Courtois, J. L. Dormann, IEEE Trans. Microwave Theory Tech. MTT-15, 694 (1967).
    [CrossRef]

1980 (2)

R. E. Benner, P. W. Barber, J. F. Owen, R. K. Chang, Phys. Rev. Lett. 44, 475 (1980).
[CrossRef]

M. A. G. Abushagur, N. George, Appl. Opt. 19, 2031 (1980).
[CrossRef] [PubMed]

1979 (2)

1978 (2)

P. Chýlek, J. T. Kiehl, M. K. W. Ko, Phys. Rev. A 18, 2229 (1978).
[CrossRef]

G. J. Rosasco, H. S. Bennett, J. Opt. Soc. Am. 68, 1242 (1978).
[CrossRef]

1977 (2)

1974 (2)

1967 (1)

M. Gastine, L. Courtois, J. L. Dormann, IEEE Trans. Microwave Theory Tech. MTT-15, 694 (1967).
[CrossRef]

1966 (1)

Abushagur, M. A. G.

Ashkin, A.

A. Ashkin, J. M. Dziedzic, Phys. Rev. Lett. 38, 1351 (1977).
[CrossRef]

Barber, P. W.

R. E. Benner, P. W. Barber, J. F. Owen, R. K. Chang, Phys. Rev. Lett. 44, 475 (1980).
[CrossRef]

Benner, R. E.

R. E. Benner, P. W. Barber, J. F. Owen, R. K. Chang, Phys. Rev. Lett. 44, 475 (1980).
[CrossRef]

Bennett, H. S.

Chang, R. K.

R. E. Benner, P. W. Barber, J. F. Owen, R. K. Chang, Phys. Rev. Lett. 44, 475 (1980).
[CrossRef]

Chýlek, P.

P. Chýlek, J. T. Kiehl, M. K. W. Ko, Phys. Rev. A 18, 2229 (1978).
[CrossRef]

Courtois, L.

M. Gastine, L. Courtois, J. L. Dormann, IEEE Trans. Microwave Theory Tech. MTT-15, 694 (1967).
[CrossRef]

Dormann, J. L.

M. Gastine, L. Courtois, J. L. Dormann, IEEE Trans. Microwave Theory Tech. MTT-15, 694 (1967).
[CrossRef]

Dziedzic, J. M.

A. Ashkin, J. M. Dziedzic, Phys. Rev. Lett. 38, 1351 (1977).
[CrossRef]

Farone, W. A.

Frazee, R. E.

Gastine, M.

M. Gastine, L. Courtois, J. L. Dormann, IEEE Trans. Microwave Theory Tech. MTT-15, 694 (1967).
[CrossRef]

George, N.

Kerker, M.

Kiehl, J. T.

P. Chýlek, J. T. Kiehl, M. K. W. Ko, Phys. Rev. A 18, 2229 (1978).
[CrossRef]

Ko, M. K. W.

P. Chýlek, J. T. Kiehl, M. K. W. Ko, Phys. Rev. A 18, 2229 (1978).
[CrossRef]

Marcuse, D.

Owen, J. F.

R. E. Benner, P. W. Barber, J. F. Owen, R. K. Chang, Phys. Rev. Lett. 44, 475 (1980).
[CrossRef]

Presby, H. M.

Rosasco, G. J.

Smithgall, D. H.

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, London, 1957), p. 297.

Watkins, L. S.

Appl. Opt. (4)

IEEE Trans. Microwave Theory Tech. (1)

M. Gastine, L. Courtois, J. L. Dormann, IEEE Trans. Microwave Theory Tech. MTT-15, 694 (1967).
[CrossRef]

J. Opt. Soc. Am. (4)

Phys. Rev. A (1)

P. Chýlek, J. T. Kiehl, M. K. W. Ko, Phys. Rev. A 18, 2229 (1978).
[CrossRef]

Phys. Rev. Lett. (2)

R. E. Benner, P. W. Barber, J. F. Owen, R. K. Chang, Phys. Rev. Lett. 44, 475 (1980).
[CrossRef]

A. Ashkin, J. M. Dziedzic, Phys. Rev. Lett. 38, 1351 (1977).
[CrossRef]

Other (1)

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, London, 1957), p. 297.

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Figures (4)

Fig. 1
Fig. 1

Experimental and calculated curves for the scattered intensity from a fiber with d = 9.510 μm and m = 1.5265. The white-light illumination was unpolarized, and only the polarization perpendicular to the fiber axis was detected. The collection optics were centered at 90° from the forward scattering direction, and the sum of the angles subtended by the incident and collection optics was 14°.

Fig. 2
Fig. 2

Same as Fig. 1, except polarization parallel to the fiber axis was detected.

Fig. 3
Fig. 3

A portion of the scattered spectrum under higher spectrometer resolution and after cleaning the fiber with acid, which resulted in a diameter change from d = 9.510 to d = 9.494 μm. Detection was at θ = 120° for polarization perpendicular to the fiber axis.

Fig. 4
Fig. 4

Resonance spectra from different portions along the axis (z) of a tapered fiber. Only peaks with l = 5 were detected. Detection was at θ = 90° for polarization perpendicular to the fiber axis.

Equations (4)

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TM polarization ( E axis ) I ( θ , x , m ) = 2 πrk | b 0 + 2 n = 1 b n cos | 2 I 0 ,
TM polarization ( H axis ) I ( θ , x , m ) = 2 πrk | a 0 + 2 m = 1 a n cos | 2 I 0 ,
b n = m J n ( mx ) J n ( x ) J n ( mx ) J n ( x ) m J n ( mx ) H n ( x ) J n ( mx ) H n ( x )
a n = J n ( mx ) J n ( x ) m J n ( mx ) J n ( x ) J n ( mx ) H n ( x ) m J n ( mx ) H n ( x ) .

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