CALCULATION OF THE CHARACTERISTICS OF MULTILAYER CIRCULAR ACOUSTIC WAVE-GUIDES WITH LOSSES

An algorithm is developed for calculating the characteristics of acoustic waves for any mode propagating along a multilayer circular waveguide, which is homogeneous with respect to the angular and longitudinal coordinates. The algorithm, which is based on the multiplication of matrices describing the properties of each layer, does not require the calculation of a high-order determinant as in the classical approach. Friction is taken into account in the Voigt approximation, i.e., the Lame constants of the waveguide materials are assumed to be complex-valued. The results of model calculations are given, illustrating the capabilities of the algorithm.