Interference of counter-propagating electromagnetic pulses on a dielectric slab

In the present paper the dynamics of interaction of counter-propagating pulses on a dielectric slab is studied. The possibility of redistribution of energy in the counter-propagating pulses is shown. The maximal energy redistribution in the diffracted field takes place under certain conditions. The conditions are found and its physical explanation is supplied. The problem of transient electromagnetic wave diffraction on homogeneous magneto-dielectric slab is solved analytically via Laplace transform. The analytical solution is in agreement with numerical simulation based on finite difference time domain approach.