The Switch-Line: A Simple Lumped Transmission Line that can Support Unattenuated Propagation
- 1 December 1966
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 13 (4) , 388-392
- https://doi.org/10.1109/tct.1966.1082639
Abstract
A "switch-line" is defined as a lumped transmission line containing in each section a series resistor, a shunt capacitor, and a shunt switch (switch open for voltages greater than some fixed threshold; switch closed otherwise). It is proved that this nonlinear, lossy line can propagate a waveform without attenuation and with constant time delay per section. An exact solution for the propagating waveform is derived, and a simple, approximate formula is given for the key result relating the threshold and the time delay per section. This formula is utilized in obtaining a corresponding relation between the parameters of a more general lumped line having a conductance in series with each switch.Keywords
This publication has 2 references indexed in Scilit:
- Analysis of Nonlinear Distributed SystemsIRE Transactions on Circuit Theory, 1962
- Nerve conduction theory: Some mathematical consequences of Bernstein's modelBulletin of Mathematical Biology, 1940