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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 6 — Feb. 20, 2006
  • pp: 1219–1224

Extending the size-parameter range for plane-wave light scattering from infinite homogeneous circular cylinders

Stefan P. Hau-Riege  »View Author Affiliations

Applied Optics, Vol. 45, Issue 6, pp. 1219-1224 (2006)

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An algorithm that extends the possible size-parameter range for the calculation of plane-wave light scattering from infinite homogeneous circular cylinders by use of Mie-type analysis has been developed. This algorithm is based on the calculation of the ratios of Bessel functions instead of the Bessel functions or their logarithmic derivatives directly. This algorithm agrees with existing methods (when those methods converge). It also converges for large size parameters when other algorithms often do not.

© 2006 Optical Society of America

OCIS Codes
(290.4020) Scattering : Mie theory
(290.5850) Scattering : Scattering, particles

ToC Category:

Original Manuscript: April 18, 2005
Revised Manuscript: September 19, 2005
Manuscript Accepted: October 7, 2005

Virtual Issues
Vol. 1, Iss. 3 Virtual Journal for Biomedical Optics

Stefan P. Hau-Riege, "Extending the size-parameter range for plane-wave light scattering from infinite homogeneous circular cylinders," Appl. Opt. 45, 1219-1224 (2006)

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  1. R. K. Mueller, M. Kaveh, and G. Wade, "Reconstructive tomography and applications to ultrasonics," Proc. IEEE 67, 567-587 (1979). [CrossRef]
  2. R. K. Mueller, M. Kaveh, and R. D. Iverson, in Acoustical Imaging, A. F. Metherell, ed. (Plenum, 1980), Vol. 8, p. 615. [CrossRef]
  3. E. Wolf, "Three-dimensional structure determination of semi-transparent objects from holographic data," Opt. Commun. 1, 153-156 (1969). [CrossRef]
  4. O. R. Halse, K. K. Stamnes, and A. J. Devaney, "Three-dimensional diffraction tomography by two-dimensional sectioning," Opt. Commun. 224, 185-195 (2003). [CrossRef]
  5. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, 1983).
  6. P. W. Barber and S. C. Hill, Light Scattering by Particles: Computational Methods (World Scientific, 1990). [CrossRef]
  7. H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1981).
  8. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, 1969).
  9. M. Kerker, D. Cooke, W. A. Farone, and R. T. Jacobson, "Electromagnetic scattering from an infinite circular cylinder at oblique incidence. I. Radiance functions for m=1.46," J. Opt. Soc. Am. 56, 487-491 (1966). [CrossRef]
  10. L. Infeld, "The influence of the width of the gap upon the theory of antennas," Q. Appl. Math. 5, 113-132 (1947).
  11. J. V. Dave, "Scattering of electromagnetic radiation by a large, absorbing sphere," IBM J. Res. Dev. 13, 302-313 (1969). [CrossRef]
  12. W. J. Lentz, "Generating Bessel functions in Mie scattering calculations using continued fractions," Appl. Opt. 15, 668-671 (1976). [CrossRef] [PubMed]
  13. W. J. Wiscombe, "Improved Mie scattering algorithms," Appl. Opt. 19, 1505-1509 (1980). [CrossRef] [PubMed]
  14. H. Du, "Mie-scattering calculation," Appl. Opt. 43, 1951-1956 (2004). [CrossRef] [PubMed]
  15. D. Mackowski, http://atol.ucsd.edu/∼pflatau/scatlib/scatterlib.htm.
  16. P. W. Barber, J. F. Owen, and R. K. Chang, "Resonant scattering for characterization of axisymmetric dielectric objects," IEEE Trans. Antennas Propag. 30, 168-172 (1982). [CrossRef]
  17. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, 1965).
  18. R. T. Wang and H. C. van de Hulst, "Rainbows: Mie computations and the Airy approximation," Appl. Opt. 30, 106-117 (1991). [CrossRef] [PubMed]
  19. V. E. Cachorro and L. L. Salcedo, "New improvements for Mie scattering calculations," J. Electromagn. Waves Appl. 5, 913-926 (1991). [CrossRef]
  20. G. N. Watson, Treatise on the Theory of Bessel Functions (Cambridge U. Press, 1966).

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