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Cherenkov radiation is widely used for particle detection. As well, it is prospective for particle bunch diagnostics. Therefore, it is actual to elaborate methods for calculation of the fields of bunches moving in the presence of different dielectric objects. We offer the approximate method based on calculation of the field in unbounded medium and accounting of boundary influence by geometrical optics. First, we consider the problem concerning the field of charge crossing a dielectric plate. This problem has an exact solution. It is used as a "test" problem for estimation of precision of the approximate method. Computation of the field is performed using both methods and the results have a good agreement. Further, we analyze the cases of more complex objects, in particular, a dielectric cone. Note, that the offered method allows to obtain wave fields using neither complex analytical transformations nor laborious numerical calculations.
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