Digital Equivalent Circuits for Acoustic Field Based on Discrete Huygens' Modeling

Abstract

A digital equivalent circuit for a three-dimensional acoustic field is developed on the basis of the discrete Huygens' model (DHM) in which the propagation and scattering of waves are simulated as the sequences of impulses scattering as Huygens' principle states. The scattering matrix of a DHM element for propagation velocity variation is first derived. Applying the z transformation to the scattering matrix, the transfer function in the z -domain is then derived. The transmission characteristic is numerically discussed in comparison with the analog equivalent circuit model.