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Preprints, Working Papers, ... Year : 2008

On the inverse scattering of star-shape LC-networks


The study of the scattering data for a star-shape network of LC-transmission lines is transformed into the scattering analysis of a Schr¨odinger operator on the same graph. The boundary conditions coming from the Kirchhoff rules ensure the existence of a unique self-adjoint extension of the mentioned Schr¨odinger operator. While the graph consists of a number of infinite branches and a number finite ones, all joining at a central node, we provide a construction of the scattering solutions. Under non-degenerate circumstances (different wave travelling times for finite branches), we show that the study of the reflection coefficient in the high-frequency regime must provide us with the number of the infinite branches as well as the the wave travelling times for finite ones.
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inria-00267163 , version 1 (26-03-2008)


  • HAL Id : inria-00267163 , version 1


Filippo Visco Comandini, Mazyar Mirrahimi, Michel Sorine. On the inverse scattering of star-shape LC-networks. 2008. ⟨inria-00267163⟩
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