Professor Veselago was the first to identify that the relationships between energy and linear momentum are significantly different for electromagnetic radiation and material particles. The process of transfer of radiation from the emitter to the receiver will be discussed. It is shown that the mass transferred by radiation is not always associated with portable energy by Einstein’s relation E = mc2. A more general relation has the form E = mVphVgr and includes the dependence on the phase and group velocities of the radiation. This relation implies that in case of a negative refractive index, when the phase and group velocities are in opposite directions, the mass is transferred from the receiver to the source, but not vice versa, as usual. It is also shown that the Abraham-Minkowski controversy may be resolved on the basis of the wave-corpuscular duality.
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