Analytical Modeling of a Transmission Coefficient for Ultrasonic Waves in Human Cancellous Bone

Abstract

This study explores ultrasonic wave propagation in human cancellous bone, treating it as a fluid-saturated elastic medium. The interaction between the structure and fluid during ultrasonic excitation is described using Johnson’s model, modifying Biot’s theory. Biot’s theory predicts fast P1 and slow P2 wave propagation. An analytical transmission coefficient in the frequency domain is derived, accounting for system parameters and excitation frequency. The transmitted signal is calculated by multiplying the incident signal’s spectrum with this coefficient. The study investigates how changing physical and mechanical factors affect the transmission of fast P1 and slow P2 waves through fluid-saturated human cancellous bone, offering insights for medical diagnostics and biomaterial design.

Keywords

• ultrasonic waves
• human cancellous bone
• modified Biot theory
• wave propagation
• transmission coefficient