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/ 000366405400003 2015PhyU...58..872S Citation: Sadovskyy I A "Reduction of the scattering matrix array" Phys. Usp. 58 872–876 (2015) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 31st, March 2015, accepted: 25th, June 2015 Оригинал: Садовский И А «Редукция массива матриц рассеяния» УФН 185 941–945 (2015); DOI: 10.3367/UFNr.0185.201509c.0941