Abstract
A model of an illuminating black hole surface (“parabolic screen”) is proposed. This allows to avoid in a natural way the appearance of edge effects related with photons moving along the screen plane. The temperature distribution along the radius corresponds to the corresponding distribution for a relativistic disk (Novikov-Thorne disk). It is shown that the structure of the formed black hole shadow essentially differs from the case when the source of photons is a distant screen, since in the considered model the photons, subjected to strong gravitational lensing of the black hole, are emitted by the “backward” side of screen, which would not be visible in the absence of the black hole. In the thin screen approximation, shadow images are constructed for the Schwarzschild black hole in the cases when the angle between the symmetry axis of the illuminating screen and the direction to the observer is equal to 5, 30, 30 and 80 angular degrees, similar images for the Kerr black hole are constructed for the cases of 60 and 80 angular degrees.