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CDC
2008
IEEE

On the inverse scattering of star-shape LC-networks

13 years 10 months ago
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.
Filippo Visco-Comandini, Mazyar Mirrahimi, Michel
Added 29 May 2010
Updated 29 May 2010
Type Conference
Year 2008
Where CDC
Authors Filippo Visco-Comandini, Mazyar Mirrahimi, Michel Sorine
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