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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 72, Iss. 8 — Aug. 1, 1982
  • pp: 1029–1033

Mie scattering into solid angles

J. D. Pendleton  »View Author Affiliations

JOSA, Vol. 72, Issue 8, pp. 1029-1033 (1982)

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A group-theory expansion of scalar spherical harmonics is used to obtain an expansion of vector spherical harmonics. This expansion is applied to the multipole-expansion treatment of Mie theory, and explicit expressions suitable for computation of the coefficients of the expansion are obtained. The result is a Mie-theory solution given in the variables and basis vectors of the spherical-coordinate system associated with a Cartesian system that is rotated with respect to the conventionally chosen coordinate system. This result is then used to obtain an analyticalseries solution for the power scattered into a conical solid angle centered on any chosen direction from the scattering sphere.

© 1982 Optical Society of America

J. D. Pendleton, "Mie scattering into solid angles," J. Opt. Soc. Am. 72, 1029-1033 (1982)

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  1. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), Chap. 9.
  2. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1975), Chap. 13.
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  10. I. S. Gradsteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965), p. 1005.

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