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Multipole expansion of the scattering of light from a metal microspheroid

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Abstract

The scattering of light by a spheroidal metal particle has been newly treated by use of the technique of the multipole expansion of radiation fields from the induced polarization and the associated current and magnetization, which are now considered as radiation sources. The relation between the polarization and the incident field is most simply obtained by using the long-wavelength approximation and a radiation-damping correction. The various orders of electric- and magnetic-multipole coefficients of scattered fields have been separately calculated. Part of our calculated results confirm and thus justify the well-known features that the electric-dipole term gives the dominant contribution and that the magnitudes of multipole coefficients decrease monotonically with the increasing-order number of the multipoles. Some new features concerning the accuracy and the limitation of the radiation-damping correction are discussed against the depolarization factor of the spheroid. For a small sphere, the results reduce to the famous Rayleigh scattering, as expected. Results for larger spheres are compared with those of an exact electrodynamical calculation.

© 1985 Optical Society of America

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