Abstract

On the basis of an approximate relation, the Mie series are replaced by new ones, which can be summed exactly with the aid of various modified and generalized forms of the addition theorem for cylindrical functions. The sums obtained simultaneously simplify the initial expressions for the scattering characteristics and preserve their analytical nature. The conventional approximations for the amplitude functions and the efficiency factors rigorously follow from the new approaches if the optical parameters are properly restricted. The acceptable domains of these approaches contain the long wavelength region and are extensive enough to study the various (including inverse) scattering problems for the real disperse systems, in which the particles are suspended in a medium with similar optical properties.

© 1991 Optical Society of America

Mie scattering by spheres in an absorbing medium*

W. C. Mundy, J. A. Roux, and A. M. Smith
J. Opt. Soc. Am. 64(12) 1593-1597 (1974)

Inverse scattering problem involving soft Mie particles

Ashim Kumar Roy and Subodh K. Sharma
Appl. Opt. 36(36) 9487-9495 (1997)

Electromagnetic scattering by an aggregate of spheres

Yu-lin Xu
Appl. Opt. 34(21) 4573-4588 (1995)

Experimental and theoretical results of light scattering by aggregates of spheres

Yu-lin Xu and Bo Å. S. Gustafson
Appl. Opt. 36(30) 8026-8030 (1997)

Experiments on light scattering and extinction by small, micrometer-sized aggregates of spheres

Martin Schnaiter and Gerhard Wurm
Appl. Opt. 41(6) 1175-1180 (2002)