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

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

http://dx.doi.org/10.1364/AO.45.001219

Enhanced HTML Acrobat PDF (188 KB)

### Abstract

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:**

Scattering

**History**

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*

**Citation**

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)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-6-1219

Sort: Year | Journal | Reset

### References

- R. K. Mueller, M. Kaveh, and G. Wade, "Reconstructive tomography and applications to ultrasonics," Proc. IEEE 67, 567-587 (1979). [CrossRef]
- R. K. Mueller, M. Kaveh, and R. D. Iverson, in Acoustical Imaging, A. F. Metherell, ed. (Plenum, 1980), Vol. 8, p. 615. [CrossRef]
- E. Wolf, "Three-dimensional structure determination of semi-transparent objects from holographic data," Opt. Commun. 1, 153-156 (1969). [CrossRef]
- 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]
- C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, 1983).
- P. W. Barber and S. C. Hill, Light Scattering by Particles: Computational Methods (World Scientific, 1990). [CrossRef]
- H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1981).
- M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, 1969).
- 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]
- L. Infeld, "The influence of the width of the gap upon the theory of antennas," Q. Appl. Math. 5, 113-132 (1947).
- J. V. Dave, "Scattering of electromagnetic radiation by a large, absorbing sphere," IBM J. Res. Dev. 13, 302-313 (1969). [CrossRef]
- W. J. Lentz, "Generating Bessel functions in Mie scattering calculations using continued fractions," Appl. Opt. 15, 668-671 (1976). [CrossRef] [PubMed]
- W. J. Wiscombe, "Improved Mie scattering algorithms," Appl. Opt. 19, 1505-1509 (1980). [CrossRef] [PubMed]
- H. Du, "Mie-scattering calculation," Appl. Opt. 43, 1951-1956 (2004). [CrossRef] [PubMed]
- D. Mackowski, http://atol.ucsd.edu/∼pflatau/scatlib/scatterlib.htm.
- 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]
- M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, 1965).
- R. T. Wang and H. C. van de Hulst, "Rainbows: Mie computations and the Airy approximation," Appl. Opt. 30, 106-117 (1991). [CrossRef] [PubMed]
- V. E. Cachorro and L. L. Salcedo, "New improvements for Mie scattering calculations," J. Electromagn. Waves Appl. 5, 913-926 (1991). [CrossRef]
- G. N. Watson, Treatise on the Theory of Bessel Functions (Cambridge U. Press, 1966).

## 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.