Abstract
Abstract. An iterative approach which was recently applied to approximate the reflection and scattering coefficients of transmission line ports is analyzed. The iterative solution for the current on an infinite wire above ground is compared to the exact solution. The example is chosen since it is one of the few problems where an exact solution exists. The wire is excited by a lumped voltage source or a plane wave. The convergence of the iterative approach is shown. It can be concluded that the zeroth iteration, which is the classical transmission line solution, coincides with the general transverse electromagnetic mode. Furthermore, it is shown that the first iteration is a very good approximation of the radiation and leaky modes, that occur in the close neighborhood around the lumped source.
Highlights
Transmission lines play an important part in many branches of electrical engineering
It is of great interest to understand the propagation of waves along transmission lines and develop analytic methods to determine the currents on wires
The iterative approach can be seen as an extension to the classical transmission line approximation, which is restricted to uniform transmission lines and to wavelengths much larger than the transverse dimensions of the transmission lines
Summary
Transmission lines play an important part in many branches of electrical engineering. It is of great interest to understand the propagation of waves along transmission lines and develop analytic methods to determine the currents on wires. An iterative approach was developed for thin wires above ground and applied to many examples The iterative approach can be seen as an extension to the classical transmission line approximation, which is restricted to uniform transmission lines and to wavelengths much larger than the transverse dimensions of the transmission lines. After only one iteration the iterative approach already yields accurate results for infinite and semi-infinite problems respecting the non-uniformity of the wire. Due to the success of the iterative approach, questions that arise are: 1. Does the iterative approach converge if more iterations are used? Due to the success of the iterative approach, questions that arise are: 1. Does the iterative approach converge if more iterations are used?
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
