Abstract
A new approach to the direct scattering problem in one-dimensional inhomogeneous bodies is presented. A general formulation considering density, wave speed, and cross section variation is introduced and a compact form for the wave equation in the characteristic plane, with a generalized acoustical impedance profile as a parameter, is established with the aid of a nonsingular variable transformation. The wave propagation pattern in layered (or discretized continuous) media is then examined and an exact algebraic solution for the reflected wave is obtained. The resulting formula is adequate to an arbitrary input pulse, furnishing a quick computation of all multiple reflection contributions to the final echo.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
