29 June 1994 Time-pulse propagation and inverse problem solution for layered medium
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Abstract
The 1D nonstationary boundary-value problem (layered medium) of a wave incidence on a layer of inhomogeneous medium is considered. Combining the imbedding method and singularity method the relations between wave amplitude on the pulse front and medium refractive coefficient is determined. These relations allow us to solve the following inverse problems: (1) The space structure reconstruction for refractive coefficient provided time dependence for a wave reflected from a layer is given. (2) The structure reconstruction for refractive coefficient inside a some space provided time dependence for a field in a fixed point is given. This procedure allows us to find an analytical solution in some cases, e.g. for wave fields exponentially depending upon time in a media.
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Valery I. Klyatskin, Valery I. Klyatskin, Konstantin V. Koshel, Konstantin V. Koshel, Boris M. Shevtsov, Boris M. Shevtsov, "Time-pulse propagation and inverse problem solution for layered medium", Proc. SPIE 2222, Atmospheric Propagation and Remote Sensing III, (29 June 1994); doi: 10.1117/12.178050; https://doi.org/10.1117/12.178050
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