Transient effects at resonant light scattering by particles: Anapole as a storage for "frozen light"?

Transient effects at excitation of high-Q resonant modes at a leading front of a laser pulse and their decomposition at its trailing edge during the pulse scattering by a particle are discussed. The main attention is paid to the nonradiating (anapole) mode excited in a high-index cylinder. The problem is studied both analytically and numerically. It is shown that the anapole is a steady but essentially nonequilibrium mode, which can exist if and only if the host particle is irradiated by a continuous incident wave. As soon as the incident wave is switched off the anapole becomes a radiating mode and collapses very fast owing to extensive radiative losses. It ruins the hopes to employ the anapole-like excitations as storages for the "frozen light."