Abstract
Scattered time-dependent intensities for a dielectric microsphere illuminated with a very short pulsed plane wave are calculated. The incident pulse is considered to be a rectangular or Gaussian shaped pulse. The results are obtained for a sphere at a resonant mode. The frequency spectrum of the scattered field at a point is calculated using the incident held spectrum and the transfer function at that point. The transfer function at any frequency of the sphere at a space point is calculated using the T matrix method. The inverse Fourier transform of the frequency spectrum is used to calculate the time-dependence of the electric field. The scattered intensities are calculated for pulses of durations (similar to 10ps) smaller than the resonant lifetime. The computer codes are capable to calculate the scattered intensity of a shorter pulse but depend on the capacity and speed of the computer system. The main factors that affect the behavior of the scattered pulse are the incident pulse spectrum (or duration) and the lineshape of the resonant mode of the sphere.