https://doi.org/10.1140/epjp/i2016-16159-6
Regular Article
Effect of non-linear capacitance on a non-uniform transmission line
1
Department of Electronics and Communication Engineering, National Institute of Technology, Delhi, India
2
Department of Physics, National Institute of Technology, Delhi, India
3
Department of Electronics and Communication Engineering, Netaji Subhas Institute of Technology, Delhi, India
4
Department of Electronics and Communication Engineering, G.B. Pant Govt. Engineering College, Delhi, India
* e-mail: lalitkumar_khanna@yahoo.com
Received:
2
March
2016
Accepted:
7
April
2016
Published online:
23
May
2016
In this paper we derive a non-linear polarization electric field relationship in a dielectric by considering harmonics binding of the electrons to its nuclei. We apply this theory to a transmission line to model the non-linear, inhomogeneous frequency-dependent capacitance of the line and approximate an expression for the line current when the line is terminated by load impedance. We then suggest a method for estimating the inhomogeneous, frequency-dependent non-linear component of the line capacitance from the measurements of the far field electromagnetic field radiated by the line current. The far field magnetic vector potential is calculated from the line current by the standard Green’s function integration in free space.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016
