Title :
A physical contradiction in network theory
Author :
Hamao, Shun-Itsu
Author_Institution :
5-2-3-303 Naka-Arai, Tokorozawa, Saitama, Japan
fDate :
11/1/2000 12:00:00 AM
Abstract :
It may have been believed that the majority of problems in network theory have been solved, but it is not necessarily true. In this paper the Instantaneous Propagation Problem, presented by Debart is shown and the Anti-Causality Problem is introduced as contradicted examples of the Reciprocity Theorem and Anti-Reciprocity Theorem, respectively. Since the circuit of interest is a feedback circuit, the input signal circulates the feedback loop infinitely. We unveil the fact that analyzing the feedback circuit using the Superposition theorem is inaccurate, because the network theory, which is based on Energy Conservation Law, is applied to a circuit that has no relationship with it
Keywords :
circuit feedback; circuit theory; Anti-Causality Problem; Anti-Reciprocity Theorem; Energy Conservation Law; Instantaneous Propagation Problem; Reciprocity Theorem; Superposition theorem; feedback circuit; input signal; network theory; Circuit analysis; Delay effects; Delay lines; Feedback circuits; Frequency domain analysis; Impedance; Intelligent networks; Matrix converters; Propagation delay; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on