On the Possibility of Reflectionless Propagation of Plane Acoustic Waves in Continuously Stratified Media

Abstract

The example of vertical propagation of acoustic plane waves in the atmosphere is used to establish that the reflectionless propagation of acoustic waves occurs only in continuously stratified media for which wave equations with variable pressure perturbation and vibrational velocity coefficients are reduced—via the same transformation for the same wave acoustic impedance profile, which is inversely proportional to the refractive index—to a wave comparison equation with constant coefficients. It is shown that the corresponding transformations of the wave equations are possible only for continuously stratified media with a constant wave acoustic impedance.