Inverse Problems in Wave Propagation

Inverse problems in wave propagation concern extraction of information about distant structural features from the measurements of scattered waves. Tasks of this nature arise in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic nondestructive testing, biomedical ultrasonics, radar, astrophysics, and other areas of science and technology. The papers in this volume represent most of these scientific and technical topics, together with fundamental mathematical investigations of the relation between waves and scatterers. TOC: From the contents: Wave propagation inverse problems in medicine and environmental health.- Variational structure of inverse problems in wave propagation and vibration.- Convergence of numerical methods for inverse problems with general input sources.- Topics in ocean acoustic inverse problems.- Survey of selected topics in inverse electromagnetic scattering theory.- Generalized modes in an acoustic strip.- Inverse scattering problems for Schrodinger operators with magnetic and electric potentials.- Results, old and new, in computer tomography.- Detecting subsurface hydrocarbons with elastic wavefields.- How many parameters can one solve for in diffuse tomography?- Modeling scanned acoustic imaging of defects at solid interfaces.- On reconstruction of the diffusion and of the principal coefficient of a hyperbolic equation.- The r-solution and its applications in linearized waveform inversion for a layered background.- Directional moments in the acoustic inverse problem.- Finding the density of a membrane from nodal lines.- An inverse obstacle problem: A uniqueness theorem for balls.- Inverse scattering in acoustic media using interior transmission eigenvalues.