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New results in applied scattering theory: the physical-statistics approach, including strong multiple scatter versus classical statistical-physical methods and the Born and Rytov approximations versus exact strong scatter probability distributions - MaRDI portal

New results in applied scattering theory: the physical-statistics approach, including strong multiple scatter versus classical statistical-physical methods and the Born and Rytov approximations versus exact strong scatter probability distributions (Q2778238)

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scientific article; zbMATH DE number 1719540
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New results in applied scattering theory: the physical-statistics approach, including strong multiple scatter versus classical statistical-physical methods and the Born and Rytov approximations versus exact strong scatter probability distributions
scientific article; zbMATH DE number 1719540

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    2 June 2002
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    Poisson statistics
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    scattering process
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    statistical model
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    decomposition principle
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    New results in applied scattering theory: the physical-statistics approach, including strong multiple scatter versus classical statistical-physical methods and the Born and Rytov approximations versus exact strong scatter probability distributions (English)
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    The present paper deals with new material, i.e. physical-statistical alternative. Here the fundamental innovation is based on the replacing the explicit physical model, including boundary and initial condition, with a purely statistical model based on a counting functional representation of the scattering process. Based on a decomposition principle, the author presents an application to Poisson statistics, from which the characteristic functions of each scatter order and their totality is obtained.
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