We develop a semiclassical theory to explain the rapid ripple fluctuations in the extinction efficiency of light scattering by a transparent prolate spheroid. The theory is based on uniform asymptotic expansion of spheroidal radial functions. We have calculated the extinction efficiency for normal and oblique incidence. Our results suggest that the excitation of resonant electromagnetic modes inside a spheroidal particle is an important factor in the ripple structure. To verify this assumption and based on a Breit–Wigner formula, we develop a method to fit the peaks that appear in the spheroid’s extinction cross section when some scattering parameters vary. In other words, our calculations suggest that narrow resonances are related to ripple fluctuations, whereas broad resonances contribute to extinction cross-sectional background.
© 2005 Optical Society of America
Original Manuscript: September 29, 2004
Revised Manuscript: January 4, 2005
Manuscript Accepted: January 11, 2005
Published: June 1, 2005
André G. Simão, José P. R. F. de Mendonça, Rosana B. Santiago, Pedro C. G. de Moraes, Paulo C. Soares, and Luiz G. Guimarães, "Narrow resonances and ripple fluctuations in light scattering by a spheroid," Appl. Opt. 44, 3370-3376 (2005)