Resonant Scattering and Absolute Phase Applied to Cylindrical and Spherical Hollow Fluids Embedded in an Elastic Medium: A Numerical Simulation

Abstract

This paper is based on the study of acoustic scattering classic RST, in which it was introduced the method of MRST (multichannel resonant scattering theory) to study the problem of interaction of acoustic waves normal incidence in environments consisting of a biphasic isotropic elastic matrix in which is inserted a fluid inclusion (cylindrical or spherical). Initially we implement the transition matrix S containing the mode n of the longitudinal (L) and transverse (T) of the wave in the elastic medium. The isolation of resonances characteristic of the fluid inclusion is done via the S-matrix factorization as a product of the matrix of soft bottoms no resonant matrix and resonances. To improve the localization of the resonances we undertake a study of the absolute phase in connection with MRST. A numerical simulation of cavity fluid (water) cylindrical and spherical copper in a matrix, showed the effectiveness of the absolute phase spectra for the exact determination of the resonances.