On the inverse scattering of star-shape LC-networks
| dc.creator | Comandini, Filippo Visco | |
| dc.creator | Mirrahimi, Mazyar | |
| dc.creator | Sorine, Michel | |
| dc.date | 2008-05-07 | |
| dc.date.accessioned | 2026-07-07T09:37:33Z | |
| dc.date.available | 2026-07-07T09:37:33Z | |
| dc.description | The study of the scattering data for a star-shape network of LC-transmission lines is transformed into the scattering analysis of a Schrödinger 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 Schrödinger 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. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/0805.0936 | |
| dc.identifier | http://arxiv.org/abs/0805.0936 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160497 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Spectral Theory | |
| dc.subject | 47A40; 15A29 | |
| dc.title | On the inverse scattering of star-shape LC-networks | |
| dc.type | text |