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Detection of Cherenkov radiation: the inverse problem to generation of nondiffracting beams

Miler M., Pala J.

Optica Applicata

2003

Vol. 33, nr 2-3

307-313

Nondiffracting beams have been in the center of interest for the last decade. These beams, however, can be realized in practice only approximately. The simplest scheme for generating such a beam is to use a sufficiently narrow annular source placed in the back focal plane of a lens. Behind the lens, the beam is pseudo-nondiffracting in some length. The inverse problem is detection of Cherenkov radiation. The trace of a charged particle travelling through a dielectric medium faster than light emits this radiation at a certain angle. Generated conical wave front creates in the back focal plane of a lens a diffraction pattern in the form of a ring. A theoretical analysis of both problems is given in the paper