Transmission and reflection of ultrasonic waves in layered media

The wave equation is solved to determine the transmission and reflection coefficients for plane waves at oblique incidence on a system of n layers of plane parallel plates. Both shear- and longitudinal-wave properties of the materials are included in the derivation. Equations are presented in a form which will facilitate adaptation to a digital computer. Data measured in the frequency range 100–700 kHz for one, two, and three solid layers immersed in water compare favorable with computer results.