“…the pulsating, n = 0, and the oscillating, n = 1, sources) are of most practical interest as they are well known to best represent the common "expander" and "shaker" type acoustic transducers, respectively. 35 A FORTRAN code was constructed for treating boundary conditions, to determine the unknown modal coefficients, and to compute the modal impedance matrix, Z = SR −1 , and other relevant acoustic quantities as functions of the distance parameter, kr 0 , at selected nondimensional frequencies, ka = ωa/c. The computations were performed on personal computers with a truncation constant of n max = 100 to assure convergence in the high frequency range, and also in case of close proximity of the source to the thermoviscous sphere.…”