Impedance of a linear system with anisotropic coefficients

✍ Scribed by Alan Ping-I Wang

• Publisher: Elsevier Science
• Year: 1967
• Tongue: English
• Weight: 393 KB
• Volume: 284
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(67)90534-0

✦ Synopsis

The concept of dual impedance on a vector space is introduced. First, a necessary condition is established for an imln~dance to exist under the linear mapping. Then, it is shown that a given matrix is an impedance if and only if it is a unique solution of a non-linear matrix differential equation. Finally, necessary and sufftcient conditions arc cstablisl~cd for a lossless system. The last result is closely related to that obtained by Redheffer for scattering processes. An example, the non-uniform transmission-line problem is discussed. The general results can be applied to a multi-port system with anisotropic coefficients.