The radiation of a charge moving in the presence of a large (compared with the wavelengths under consideration) dielectric prism of two different configurations is studied: case (I), a charge moving in the channel, and case (II), a charge moving along the prism's face. The approximate method that combines an exact solution of certain "key problems" (without the external boundaries of the object) and the ray-optics technique for the field outside the prism is used. A general analytical solution of the problems is obtained, a particular case of small angles is considered, and an algorithm for computation of the radiation field is developed. The computed results are visualized in plots of the spectral density of radiation on the plane parallel to the external face of the prism. In case (I), the radiation is found to be more intensive and has a single maximum in the central plane. In case (II), the radiation can have a single maximum in the central plane (for relatively low velocities) or two lateral maxima (for an ultra-relativistic velocity). (C) 2015 Optical Society of America.
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