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Applied Optics

Applied Optics


  • Vol. 37, Iss. 13 — May. 1, 1998
  • pp: 2550–2562

Diffraction of a Gaussian beam around a strip mask

Monty Glass  »View Author Affiliations

Applied Optics, Vol. 37, Issue 13, pp. 2550-2562 (1998)

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A theoretical treatment is given for the diffraction of a Gaussian beam around an opaque strip mask. Such situations arise frequently in the diffraction of laser beams around wires and fibers. Scalar derivations are given for the Fraunhofer and Fresnel regions with both developments, leading to similar forms of rapidly convergent series for the field at an observation plane. Predictions show good agreement with measurements on the diffraction patterns from wires.

© 1998 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction

Original Manuscript: September 17, 1997
Revised Manuscript: December 17, 1997
Published: May 1, 1998

Monty Glass, "Diffraction of a Gaussian beam around a strip mask," Appl. Opt. 37, 2550-2562 (1998)

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  1. E. Hecht, A. Zajac, Optics (Addison-Wesley, New York, 1974).
  2. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1980).
  3. T. W. Mayes, B. F. Melton, “Fraunhofer diffraction of visible light by a narrow slit,” Am. J. Phys. 62, 397–403 (1994). [CrossRef]
  4. H. C. van de Hulst, The Scattering of Light by Small Particles (Dover, New York, 1981).
  5. F. Kuik, F. F. de Haan, J. W. Hovenier, “Single scattering of light by circular cylinders,” Appl. Opt. 33, 4906–4918 (1994). [CrossRef] [PubMed]
  6. R. T. Wang, H. C. van de Hulst, “Application of the exact solution for scattering by an infinite cylinder to the estimation of scattering by a finite cylinder,” Appl. Opt. 34, 2811–2821 (1995). [CrossRef] [PubMed]
  7. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).
  8. M. Glass, T. P. Dabbs, P. W. Chudleigh, “The optics of the wool Fiber Diameter Analyser,” Text. Res. J. 65(2), 85–94 (1995). [CrossRef]
  9. M. Glass, “Fresnel diffraction from curved fiber snippets with application to fiber diameter measurement,” Appl. Opt. 35, 1605–1616 (1996). [CrossRef] [PubMed]
  10. D. Lebrun, S. Belaid, C. Özkul, K. F. Ren, G. Gréhan, “Enhancement of wire diameter measurements: comparison between Fraunhofer diffraction and Lorenz-Mie theory,” Opt. Eng. 35, 946–950 (1996). [CrossRef]
  11. H. Wang, 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). [CrossRef]
  12. S. Kozaki, “Scattering of a Gaussian beam by a homogeneous dielectric cylinder,” J. Appl. Phys. 53, 7195–7200 (1982). [CrossRef]
  13. E. Zimmermann, R. Dändliker, 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). [CrossRef]
  14. J. E. Pearson, T. C. McGill, S. Curtain, A. Yariv, “Diffraction of Gaussian laser beams by a semi-infinite plane,” J. Opt. Soc. Am. 59, 1440–1445 (1969). [CrossRef]
  15. H. T. Yura, T. S. Rose, “Gaussian beam transfer through hard-aperture optics,” Appl. Opt. 34, 6826–6828 (1995). [CrossRef] [PubMed]
  16. E. Kreyszig, Advanced Engineering Mathematics (Wiley, New York, 1983).
  17. S. A. Self, “Focusing of spherical Gaussian beams,” Appl. Opt. 22, 658–661 (1983). [CrossRef] [PubMed]
  18. H. Kogelnik, “On the propagation of Gaussian beams of light through lenslike media including those with a loss or gain variation,” Appl. Opt. 4, 1562–1569 (1965). [CrossRef]
  19. W. H. Carter, “Focal shift and concept of effective Fresnel number for a Gaussian laser beam,” Appl. Opt. 21, 1989–1994 (1982). [CrossRef] [PubMed]
  20. P. Rochon, T. J. Racey, N. Gauthier, “Diffraction from small wires, including surface roughness,” Opt. Acta. 31, 1385–1397 (1984). [CrossRef]
  21. R. G. Greenler, J. W. Hable, P. O. Slane, “Diffraction around a fine wire: how good is the single-slit approximation?” Am. J. Phys. 58, 330–331 (1990). [CrossRef]

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