Abstract

Applying the first-order perturbation theory, we have derived a theorem which states that, under specific conditions, the sum of the scattering matrices of two nonspherical particles can be replaced by the scattering matrix of a sphere. Consequently, a polydispersion of such nonspherical particles can be replaced by a polydispersion of spheres, without changing scattering characteristics of the polydispersion. This implies the nonuniqueness of the inverse-scattering problem. To verify the validity of the theorem, the differential scattering cross sections of several nonspherical rotationally symmetric particles have been calculated using the extended boundary condition method. The results show that the theorem is satisfied with accuracy expected from the first-order perturbation theory.

© 1979 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Experimental determinations of Mueller scattering matrices for nonspherical particles

Roger J. Perry, Arlon J. Hunt, and Donald R. Huffman
Appl. Opt. 17(17) 2700-2710 (1978)

Light scattering by polydisperse suspensions of inhomogeneous nonspherical particles

Dau-Sing Wang, Harry C. H. Chen, Peter W. Barber, and Philip J. Wyatt
Appl. Opt. 18(15) 2672-2678 (1979)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (3)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (16)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription