OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 5 — May. 1, 2006
  • pp: 1124–1134

Mie scattering by an anisotropic object. Part II. Arbitrary-shaped object: differential theory

Brian Stout, Michel Nevière, and Evgeny Popov  »View Author Affiliations

JOSA A, Vol. 23, Issue 5, pp. 1124-1134 (2006)

View Full Text Article

Enhanced HTML    Acrobat PDF (202 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The differential theory of diffraction by an arbitrary-shaped body made of arbitrary anisotropic material is developed. The electromagnetic field is expanded on the basis of vector spherical harmonics, and the Maxwell equations in spherical coordinates are reduced to a first-order differential set. When discontinuities of permittivity exist, we apply the fast numerical factorization to find the link between the electric field vector and the vector of electric induction, developed in a truncated basis. The diffraction problem is reduced to a boundary-value problem by using a shooting method combined with the S-matrix propagation algorithm, formulated for the field components instead of the amplitudes.

© 2006 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(050.1940) Diffraction and gratings : Diffraction
(290.5850) Scattering : Scattering, particles

ToC Category:

Original Manuscript: July 15, 2005
Manuscript Accepted: October 21, 2005

Brian Stout, Michel Nevière, and Evgeny Popov, "Mie scattering by an anisotropic object. Part II. Arbitrary-shaped object: differential theory," J. Opt. Soc. Am. A 23, 1124-1134 (2006)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. B. Stout, M. Nevière, and E. Popov, "Light diffraction by a three-dimensional object: differential theory," J. Opt. Soc. Am. A 22, 2385-2404 (2005). [CrossRef]
  2. B. T. Draine, "Interstellar dust," in Origin and Evolution of the Elements, A.McWilliams and M.Rauch, eds. (Cambridge U. Press, 2004), p. 230.
  3. M. Gottlied, C. L. M. Ireland, and J. M. Ley, Electro-Optic and Acousto-Optic Scanning and Defection, Optical Engineering Series (Marcel Dekker, New York, 1983).
  4. S. N. Papadakis, N. K. Uzunoglu, and C. N. Capsalis, "Scattering of a plane wave by a general anisotropic dielectric ellipsoid," J. Opt. Soc. Am. A 7, 991-997 (1990). [CrossRef]
  5. J. C. Monzon, "Three-dimensional field expansion in the most general rotationally symmetric anisotropic material: application to the scattering by a sphere," IEEE Trans. Antennas Propag. 37, 728-735 (1989). [CrossRef]
  6. W. Ren and X. B. Wu, "Application of an eigenfunction representation to the scattering of a plane wave by an anisotropically coated circular cylinder," J. Phys. D 28, 1031-1039 (1995). [CrossRef]
  7. A. D. Kiselev, V. Yu. Reshetnyaba, and T. J. Sluckain, "Light scattering by optically anisotropic scatterers: T-matrix theory for radial and uniform anisotropies," Phys. Rev. E 65, 056609 (2002). [CrossRef]
  8. M. Nevière and E. Popov, Light Propagation in Periodic Media: Differential Theory and Design (Marcel Dekker, New York, 2003).
  9. B. Stout, M. Nevière, and E. Popov, "Mie scattering by an anisotropic object. Part I. Homogeneous sphere," J. Opt. Soc. Am. A 23, 1111-1123 (2006). [CrossRef]
  10. L. Li, "Use of Fourier series in the analysis of discontinuous periodic structures," J. Opt. Soc. Am. A 13, 1870-1876 (1996). [CrossRef]
  11. E. Popov, M. Nevière, and N. Bonod, "Factorization of products of discontinuous functions applied to Fourier-Bessel basis," J. Opt. Soc. Am. A 21, 46-51 (2004). [CrossRef]
  12. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton U. Press, 1960).
  13. Y. L. Xu, "Fast evaluation of the Gaunt coefficients," Math. Comput. 65, 1601-1612 (1996). [CrossRef]

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.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited