Institute of Radio Engineering and Electronics (Ulyanovsk Branch), Russian Academy of Sciences, Ulyanovsk, 432011 Russia
Abstract - A boundary problem of linear classical optics is solved in which the behavior of the electromagnetic field near the surface of a dielectric medium is studied. It is shown that including the discrete structure of a medium into the analysis has the most substantial effect on the behavior of the electromagnetic field at distances smaller than 2a0, where a0 is the lattice constant. This fact makes it possible to obtain numerical estimates of the size of the region where the reflected and transmitted waves are formed.
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