Theoretical study of the Smith-Purcell effect involving photonic crystals
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The Smith-Purcell radiation spectrum is calculated for the trajectory of a running charge parallel to the surface of a photonic crystal of dielectric spheres. Analysis is given for the dependence of the spectrum on the velocity of the running charge, the distance of the trajectory from the photonic crystal, and on the light absorption of the photonic crystal. It is shown that all the characteristic features of the radiation spectrum are satisfactorily explained by treating a direct light emitted by the charge as an incident light on the photonic crystal.
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