Sc. Hill et al., VOLUME CURRENT METHOD FOR MODELING LIGHT-SCATTERING BY INHOMOGENEOUSLY PERTURBED SPHERES, Journal of the Optical Society of America. A, Optics, image science,and vision., 12(5), 1995, pp. 905-915
A volume current method (VCM) for calculating the optical scattering b
y inhomogeneous spheres is presented. The method is applicable to sphe
res having small refractive-index perturbations. In this method the in
ternal and scattered fields are approximated with a separation-of-vari
ables solution, in which each mode has its own effective-average refra
ctive index. These fields generate an additional volume polarization c
urrent in the regions where the refractive index differs from the aver
age refractive index of the sphere. The fields radiated by these polar
ization currents are then added to the approximate fields radiated by
the unperturbed sphere. When they are tested with off-centered layered
spheres, the fields calculated with the VCM compare well with those f
ound with separation of variables so long as the changes in the refrac
tive index are small. When the host sphere is near resonance and the p
erturbation is in a region where the resonant fields are large, the pe
rturbations must be smaller than when the sphere is off resonance.