Application of a Vector-Scalar Receiver for Analysis of a Field's Directional Properties

The authors investigate the possibility of studying the directional properties of a field using a single combined vector-scalar receiver. A mathematical model of the field based on the Poisson process is considered. The paper analytically demonstrates the relationship of the mathematical expectation of the angular distribution of the Umov vector modulus and the probability density of its argument (phase) with the angular density and angular probability density of the acoustic field in the limiting cases of rare pulses and the Gaussian approximation. Numerical calculation is applied to analyze the evolution of these functions with a change in the frequency bandwidth.