Resonant Mie scattering from a layered sphere

Abstract

The theory of Aden and Kerker is used to compute the resonant response of large layered spheres to an incident linearly polarized plane wave. Cases considered include hollow spheres and those with transparent and absorbing cores whose diameters range from zero up to that of the particle. Both core and layer resonances are studied. The results are presented as partial wave amplitudes, energy densities, and scattered light intensities for a typical resonant mode, TE(39).

Rainbow scattering by a coated sphere

“…The angle 02R of the Descartes ray in the coating is given by Snell's law, n 3 sin 0 3 R = n 2 sin 02 R, (22) and the phase changes on reflection at the 12 (corecoating) and 23 (coating-air) interfaces are given by for the TE polarization. Assuming that the only difference in the relative strengths of a and a rainbows is given by the different sets of Fresnel coefficients in Eqs.…”

“…Expressions for the coating and the core partial-wave amplitudes are given in Ref. 22. When an algebraic calculation similar to the derivation of Eqs.…”

Interference enhancement of the internal fields at structural scattering resonances of a coated sphere

“…These enhancements were not observed in the calculations of Ref. 18 since those authors studied only p = 1 scattering resonances for which this effect does not occur. Although the interference enhancements cause an amplification of the interior field strength and energy density, they do not have an effect on the scattering cross section.…”

Whispering gallery modes and effect of coating on Raman spectra of single microspheres

“…If m 1 = m 2 or r 1 = 0, then the scattering coefficients a s n,l and b s n,l reduce to those for a homogeneous sphere. [21] Average internal field intensity in the sphere…”