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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 3 — Mar. 1, 2001
  • pp: 610–613

Sum rules for products of light scattering functions

J. David Pendleton  »View Author Affiliations

JOSA A, Vol. 18, Issue 3, pp. 610-613 (2001)

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Basis vectors of a spherical system are shown to be linear combinations of functions commonly used in light scattering. These expressions are used to obtain an expansion for the unit dyadic as a linear combination of products of these functions, and this expansion is used to motivate the use of matrix orthonormality to obtain a complete set of sum rules for products of scalar light scattering functions. As an example demonstrating the utility of these expressions, sum rules are obtained for dyadic, component, and inner products of vector spherical harmonics used in the theory of light scattering.

© 2001 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(290.0290) Scattering : Scattering
(290.4020) Scattering : Mie theory
(290.5850) Scattering : Scattering, particles
(300.2530) Spectroscopy : Fluorescence, laser-induced

Original Manuscript: March 9, 2000
Revised Manuscript: September 21, 2000
Manuscript Accepted: September 21, 2000
Published: March 1, 2001

J. David Pendleton, "Sum rules for products of light scattering functions," J. Opt. Soc. Am. A 18, 610-613 (2001)

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