I.A. Sadovskyy Materials Science Division, Argonne National Laboratory, 9700 South Cass Ave., Argonne, Illinois, 60439, USA
The scattering matrix approach is widely used in wave engineering and quantum physics. Usually, a combination of multiple scattering matrices is used. In this article we consider arbitrary arrays of interconnected scattering matrices and present a formal result for the reduced scattering matrix. We demonstrate this approach in two well-known scattering problems.
Keywords: scattering matrix, reduction, ballistic regime, double-barrier potential, Aharonov—Bohm effect PACS:72.10.Bg, 73.23.−b, 74.78.Na (all) DOI:10.3367/UFNe.0185.201509c.0941 URL: https://ufn.ru/en/articles/2015/9/c/ Citation: Sadovskyy I A "Reduction of the scattering matrix array" Phys. Usp.58 872–876 (2015)