Telegrapher's equations
Oliver Heaviside developed the transmission line theory known as the telegrapher's equations. The telegrapher's equations describe how electrical signals move along transmission lines such as telegraph wires. The equations embody coupled linear differential equations in time and position for V(x,t) and I(x,t).
The equations
The telegrapher's equations are the result of applying Maxwell's equations to two-conductor transmission lines.
- <math>{\partial \over {\partial x}}V(x,t)=-{{L{\partial \over {\partial t}}I(x,t)}}<math>
- <math>{\partial \over {\partial x}}I(x,t)=-{{C{\partial \over {\partial t}}V(x,t)}}<math>
See also
- Heaviside condition
- American Institute of Electrical Engineers, New York, January 13, 1902. (Honoring of Guglielmo Marconi, January 13, 1902) [Early Radio History.com]
- Wilson, Bill, "". Cnx.rice.edu.
- Avant! software, "". Star-Hspice Manual, June 2001.
- Wöhlbier, John Greaton, "". Modeling and Analysis of a Traveling Wave Tube Under Multitone Excitation.
- Wöhlbier, John Greaton, "". Modeling and Analysis of a Traveling Wave Tube Under Multitone Excitation.
- Han, Hsiu C., "". EE 313 Electromagnetic Fields and Waves. IAState.edu.
- Boesch, "". (DOC format)
- "". EIE403: High Frequency Circuit Design. Department of Electronic and Information Engineering, Hong Kong Polytechnic University. (PDF format)
- Kupershmidt, Boris A., "". Math-ph/9810020. J. Nonlinear Math. Phys. 5 (1998), no. 4, 383-395.
- J.L., Naredo, A.C. Soudack, and J.R. Marti, "Simulation of transients on transmission lines with corona via the method of characteristics". Generation, Transmission and Distribution, IEE Proceedings. Vol. 142.1, Inst. de Investigaciones Electr., Morelos, Jan 1995. ISSN 1350-2360
- Cornille, P, "". J. Phys. D: Appl. Phys. 23, February 14, 1990. (Concept of inhomogeneous waves propagation -- Show the importance of the telegrapher's equation with Heaviside's condition.)
