Abstract
If the r eflection impulse response of a nonattenuating medium with a one-dimensional continuous impedance profile is given, the acoustic impedance as a function of travel time can be reconstructed. One reconstruction technique, utilizing the impediography equation, c onsiders o nly the first order reflections while the other technique which takes into account all the higher order reflections as well is based on a solution by Goupillaud. The input for the reconstruction is the reflection impulse response, calculated from the given acoustic impedance profile. Only Goupillaud's solution provides valid results f or large impedance variations. In order to reconstruct both velocity and density as a function of spatial distance, t he reflection impulse response must be determined for two different incident angles.
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