INFORMATION TRANSFER IN AN IDEAL PHOTON CHANNEL,

The author investigates a three-dimensional photon information transmission channel, i.e., an electromagnetic channel with a spatial variation of the wave vectors. Let an electromagnetic signal with the average power of P and thermal emission noise of the temperature T1 be incident on an area S. The source of emission is visible from every point of the area S at the spatial angle omega. It will be assumed that the point incidence is normal and that omega4 pi is much 1. Then the result will depend only on the magnitude and not on the form of the spatial angle. It is also assumed that the conditions of justification for the approximation of the geometric optics are satisfied. The author is interested in the question of information which may be transmitted in a unit of time under the conditions listed, i.e., the transmission capacity of such a channel. The transmitter and the receiver are both considered ideal. The author shows the equivalency of the transmission of information by means of representation in momentum space and by means of representation in the ordinary sense, with variations in time.