Abstract
The electromagnetic wave propagation between two media characterized by the permittivity and permeability and the transport of ballistic electrons with different effective masses across the heterointerface are investigated. The analogy of Snell law for ballistic electron is discussed; the existence of the critical angle of incidence is related to the electron energy and quasiimpuls conservation and to the effective barrier height. The quantum mechanical formulae for transmission and reflection of ballistic electrons with different effective mass at the heterointerface and Fresnel formulae for electromagnetic wave at the interface between media with different permeabilities are compared. The reflectance of electrons can be zero under certain conditions and their transmittance is equal to unity; this effect can be considered as an analogy of Brewster angle for electromagnetic waves. The existence of metamaterial for electron waves is discussed.
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