Advanced Computational Modeling of Longitudinal Ultrasonic Wave Propagation in Multilayered Media for Improved Medical Imaging

This study presents an advanced computational modeling approach for simulating the longitudinal ultrasonic wave propagation within immersed multilayered media with the primary goal of improving medical imaging. Our analytical model employs the transfer matrix method (TMM) to study the response of ultrasonic waves in the multilayer structure, established in a quadrupole formalism. The modeled ultrasonic response is represented by a spectrogram (SP) to characterize the medium's properties. The geometry and boundary conditions of the structure cause multilayer dispersion, leading to guided wave propagation in the medium. We use TMM to generate dispersion curves and validate agreement with time-frequency methods (spectrogram) for a transducer with a center frequency of 5MHz. The results demonstrate perfect agreement between the modeling results and dispersion curves, highlighting the efficacy of our approach. This innovative methodology holds the potential to significantly enhance the accuracy of predicting the acoustic response of multilayer structures, thus improving medical imaging capabilities.