We study the ripple structure in the scattered intensity predicted by Mie scattering theory in the angular behavior of the scattered intensity for homogeneous, dielectric spheres. We find that for small values of the phase shift parameter ρ =2kR|m−1|, where k = 2π/λ, R is the sphere radius, and m is the relative refractive index, the ripples are periodic with spacing equal to π when plotted versus the dimensionless qR, where q = 2k sin(θ/2) and θ is the scattering angle. However, as ρ increases, this outcome switches to nonuniform spacing of approximately π cos(θ/2). The latter spacing is equivalent to a uniform spacing of π/kR when plotted versus θ.
© 2002 Optical Society of America
Christopher M. Sorensen and Dan Shi, "Patterns in the ripple structure of Mie scattering," J. Opt. Soc. Am. A 19, 122-125 (2002)