Abstract

As it is known, at astronomical observation through the Earth atmosphere, the phase distortions of the wave front cause to restriction of angular resolution of the telescope with a value of order about one angular second. Subsequent processing of such images does not give radical solution of the problem. It indicates on necessity to search new ways for astronomical imaging. One of such ways is the interferometric method of image formation. It consists in measurement of coherence function by means of a multibeam interferometer (further development of the idea of Michelson's stellar interferometer) and enables one, due to redundancy of coding the information about the object in the wave coming from it, to exclude completely the unknown phase distortions and reconstruct the undistorted image. However, the question arises on its practical feasibility in real conditions of observation when the influence of the noise becomes actual. The present work is devoted to quantitative evaluation of the information efficiency of multibeam interferometer and its immunity to the phase distortions. 1. Informativeness of an image. Let I be the true image of the object, J , the result of the coherence function measurement, with the values, correspondingly, Ii and Ji in i -th sample point, and R,, be the a posteriori density of probability, that the true image is I, if the result of measurement is J . Then the quantity of the information about the object, available as a result of observation, let be characterized by the Fisher's information matrix:

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