Abstract
The classical theory of Diffraction Tomography (DT) is formulated within the context of the acoustic and elastic wave equations. A number of applications for the generalized theory are reviewed including ultrasound tomography in variable density and elastic wave media and cross-well geophysical tomography and offset vertical seismic profiling (VSP). The general theory of DT is compared and contrasted with classical focus-on-transmit and focus-on-receive confocal acoustic imaging as well as with various standard ad-hoc imaging methods often employed in applications. The use of slant stacking for converting point source to plane wave insonification is reviewed as is the theory of acoustic tomography in known layered background media. A number of computer simulations and results from experimental data are presented.
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