Physics – Mathematical Physics
Scientific paper
2008-05-07
Physics
Mathematical Physics
6 pages
Scientific paper
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.
Comandini Filippo Visco
Mirrahimi Mazyar
Sorine Michel
No associations
LandOfFree
On the inverse scattering of star-shape LC-networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the inverse scattering of star-shape LC-networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the inverse scattering of star-shape LC-networks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-491347