Inverse Problems in Wave Propagation, Softcover reprint of the original 1st ed. 1997 The IMA Volumes in Mathematics and its Applications Series, Vol. 90

Inverse problems in wave propagation occur in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic non-destructive testing, biomedical ultrasonics, radar, astrophysics, as well as other areas of science and technology. The papers in this volume cover these scientific and technical topics, together with fundamental mathematical investigations of the relation between waves and scatterers.

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 Schrödinger operators with magnetic and electric potentials.- Results, old and new, in computed 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.- A layer stripping algorithm in elastic impedance tomography.- Partitioned nonlinear optimization for the interpretation of seismograms.- Applications of inverse methods to the analysis of refraction and wide-angle seismic data.- Inversions in astronomy and the SOLA method.- Local reconstruction applied to x-ray microtomography.- On the layer stripping approach to a 1-D inverse problem.- Estimates for approximate solutions to acoustic inverse scattering problems.

Inverse problems in wave propagation concern extraction of in- formation about distant structural features from the measure- ments of scattered waves. Tasks of this nature arise in geophy- sics, ocean acoustics, civil and environmental engineering, ul- trasonic nondestructive testing, biomedical ultrasonics, radar, astrophysics, and other areas of science and technology. The pa- pers in this volume represent most of these scientific and tech- nical topics, together with fundamental mathematical investiga- tions of the relation between waves and scatterers.