On the reconstruction problem with due account of finiteness of the velocity of carrier signal propagation (Q1281249)

Some problems of practical dynamical tomography of high-speed processes are discussed. In reconstruction problems the speed of propagation of the signal to be integrated usually is not taken into account. A reconstruction of an integral function \(f(x, y, t)\) (\(x\), \(y\) are coordinates, \(t\) is the time) using its projection on the emission tomograph and taking the high-speed propagation of the signal into account to realized in the article. It is noted that in the case of a very high speed of propagation of signals the solution obtained tends to the classical one.