Theory of nanofibre excitation by a pulsed light beam

The theory of scattering of a focused pulsed light beam from a dielectric nanofibre is developed. The nanofibre radius is assumed to be of the order of the light wavelength but much less than the beam radius. An analytical solution of the problem in terms of rapidly converging series of the Bessel and Hankel functions is derived. It is shown that the result can be described as excitation of the nanofibre transient normal modes for which the dispersion curves are obtained. These findings can be used for optimizing both the photoluminescence output and polarization, as well as the laser action of a nanofibre.