OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 37, Iss. 13 — May. 1, 1998
  • pp: 2598–2607

Fiber-Diameter Measurement by Occlusion of a Gaussian Beam

Duncan J. Butler and G. W. Forbes  »View Author Affiliations

Applied Optics, Vol. 37, Issue 13, pp. 2598-2607 (1998)

View Full Text Article

Acrobat PDF (355 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The amount of light occluded by a fiber as it passes through alaser beam can be used as the basis for fiber-diametermeasurement. This technique is analyzed with a two-dimensionalrigorous model. The occlusion seen for dielectric fibers as afunction of their diameter is highly oscillatory owing to interferencebetween the light transmitted by the fiber and the rest of thediffracted field. Scalar diffraction theory is shown to be adequatein modeling this effect. The oscillation sets a limit to theaccuracy of simple diameter measurement systems and is confirmedexperimentally for glass fibers. However, wool fibers are found tobe better treated as an absorbing material. The effect of beampolarization is investigated and found to be negligible for dielectricfibers but significant for metal fibers of small diameter.

© 1998 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(060.2280) Fiber optics and optical communications : Fiber design and fabrication

Duncan J. Butler and G. W. Forbes, "Fiber-Diameter Measurement by Occlusion of a Gaussian Beam," Appl. Opt. 37, 2598-2607 (1998)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. D. Lebrun, S. Belaid, C. Özkul, K. F. Ren, and G. Gréhand, “Enhancement of wire diameter measurements: comparison between Fraunhofer diffraction and Lorentz-Mie theory,” Opt. Eng. 35, 946–950 (1996).
  2. H. Wang and R. Valdivia-Hernandez, “Laser scanner and diffraction pattern detection: a novel concept for dynamic gauging of fine wires,” Meas. Sci. Technol. 6, 452–457 (1995).
  3. P. Cielo and G. Vaudreuil, “Optical inspection of industrial materials by unidimensional Fourier transform,” Appl. Opt. 27, 4645–4652 (1988).
  4. L. S. Watkins, “Scattering from side-illuminated clad glass fibers for determination of fiber parameters,” J. Opt. Soc. Am. 64, 767–772 (1974).
  5. M. Glass, T. B. Dabbs, and P. W. Chudleigh, “The optics of the wool fiber diameter analyser,” Textile Res. J. 65, 85–94 (1995).
  6. M. Glass, “Fresnel diffraction from curved fiber snippets with application to fiber diameter measurement,” Appl. Opt. 35, 1605–1616 (1996).
  7. E. Zimmermann, R. Dändliker, and N. Souli, “Scattering of an off-axis Gaussian beam by a dielectric cylinder compared with a rigorous electromagnetic approach,” J. Opt. Soc. Am. A 12, 398–403 (1995). [Note that Eq. (11) of this reference contains a sign error—the second term in the square brackets should be subtracted from the first term.]
  8. M. Glass, “Diffraction of a Gaussian beam around a strip mask,” Appl. Opt. 37, 2550–2562 (1998).
  9. R. G. Greenler, J. W. Hable, and P. O. Slane, “Diffraction around a fine wire: how good is the single-slit approximation?” Am. J. Phys. 58, 330–331 (1990).
  10. D. H. Smithgall, L. S. Watkins, and R. E. Frazee, Jr., “High-speed noncontact fiber-diameter measurement using forward light scattering,” Appl. Opt. 16, 2395–2402 (1977).
  11. The rigorous solution for a plane wave incident on a cylinder is given in H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), Chap. 15, p. 300.
  12. The rigorous solution for a Gaussian beam incident on a cylinder may be found in, for example, S. Kozaki, “Scattering of a Gaussian beam by a homogeneous dielectric cylinder,” J. Appl. Phys. 53, 7195–7200 (1982).
  13. W. J. Lentz, “Generating Bessel functions in Mie scattering calculations using continued fractions,” Appl. Opt. 15, 668–671 (1976).
  14. B. Chen, Diffraction Tomography and its Applications for Optical Imaging in Random Media, M. S. thesis (Department of Physics, University of Bergen, Norway, 1996). Chap. 1, p. 14.
  15. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1989), Chap. 1, p. 40.
  16. The refractive index of Cu was taken from E. D. Palik, ed., Tables of Optical Constants of Solids I (Academic, Orlando, Fla., 1985), p. 285. The values in the tables were interpolated from neighboring wavelengths to obtain those at 633 nm.
  17. See the section on saccharimetry in E. W. Washburn, ed., International Critical Tables of Numerical Data, Physics, Chemistry and Technology (McGraw-Hill, New York, 1933), Vol. 2, p. 334.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited