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Abstract

We report investigations regarding the possibility for improving ultrasonic imaging by an analysis of pulse deformations. Starting with a stochastic solution of the lossy wave equation, we present a general approach for perturbing stochastic processes on Lie groups by a Poisson process. Applications to radiation transport are indicated.

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Mathé, P., Hinrich Zacharias-Langhans, J. (2003). On Scattering of Ultrasonic Waves. In: Jäger, W., Krebs, HJ. (eds) Mathematics — Key Technology for the Future. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55753-8_40

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  • DOI: https://doi.org/10.1007/978-3-642-55753-8_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62914-3

  • Online ISBN: 978-3-642-55753-8

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