Laws approximating the decay of the vector fields of the vibration velocity and intensity for a monopole source in a waveguide

Abstract

Analytical approximations are derived and a computer simulation is performed in order to study the regularities determining the decay of the components of vibration velocity vectors and low-frequency signal intensity with an increase in distance. It is established that the sound pressure and horizontal components of the vibration velocity and intensity decay similarly, whereas the vertical components decay more rapidly. It is shown that approximating dependences are determined to a great extent by the distance between the source and detectors and are in good agreement with the exact laws describing the decay of the regular field part.