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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 4 — Apr. 1, 1999
  • pp: 853–865

Point-group symmetries in electromagnetic scattering

F. Michael Schulz, Knut Stamnes, and J. J. Stamnes  »View Author Affiliations

JOSA A, Vol. 16, Issue 4, pp. 853-865 (1999)

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A relation is developed between point-group symmetries of light-scattering particles and symmetry relations for the electromagnetic scattering solution in the T-matrix formulation. A systematic derivation of a representation of symmetry operations is presented in the vector space on which the T matrix operates. From this the set of symmetry relations of the T matrix is obtained for various point groups. As examples several symmetry groups relevant to modeling atmospheric particles are treated, such as the K group of spherical symmetry, the Cv group of axial symmetry, and the Dh group of dihedral axial symmetry. The Dh symmetry relations for the T matrix in spheroidal coordinates (denoted by script font) are also derived. Previously known symmetry relations of the T matrix can be verified, and new relations are found for DNh symmetry, i.e., for the important case of particles with dihedral symmetry and an N-fold axis of rotation.

© 1999 Optical Society of America

OCIS Codes
(290.1310) Scattering : Atmospheric scattering
(290.5850) Scattering : Scattering, particles

Original Manuscript: July 28, 1998
Revised Manuscript: December 2, 1998
Manuscript Accepted: December 3, 1998
Published: April 1, 1999

F. Michael Schulz, Knut Stamnes, and J. J. Stamnes, "Point-group symmetries in electromagnetic scattering," J. Opt. Soc. Am. A 16, 853-865 (1999)

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