Abstract
Abstract. By applying the Transmission-Line Super Theory (TLST) to a practical transmission-line configuration (two risers and a horizontal part of the line parallel to the ground plane) it is elaborated under which physical and geometrical conditions the horizontal part of the transmission-line can be represented by a classical telegrapher equation with a sufficiently accurate description of the physical properties of the line. The risers together with the part of the horizontal line close to them are treated as separate lines using the TLST. Novel frequency and local dependent reflection coefficients are introduced to take into account the action of the bends and their radiation. They can be derived from the matrizant elements of the TLST solution. It is shown that the solution of the resulting network and the TLST solution of the entire line agree for certain line configurations. The physical and geometrical parameters for these corresponding configurations are determined in this paper.
Highlights
Transmission-Line Super Theory (TLST) was introduced by Haase and Nitsch (2001, 2003) more than one decade ago
In this paper it was shown that Classical transmission-line theory (cTLT) is not sufficient for a finite classical TL with risers at high frequencies
The latter can be handled with cTLT while the riser parts have to be calculated using an advanced TLT, like TLST
Summary
Transmission-Line Super Theory (TLST) was introduced by Haase and Nitsch (2001, 2003) more than one decade ago. The TLST equations take into account all field modes and physical effects that might occur, including radiation losses It surpasses the classical transmission-line theory, which is a special case. Their complex parameters are local and frequency dependent and are obtained by the solution of integral equations. 4 novel local and frequency dependent reflection coefficients are introduced and it is shown how they are related to the matrizant elements of the TLST. It is shown how the current on the TL can be calculated using the reflection coefficients. Numerical results for the finite uniform TL with risers are shown and discussed in Sect.
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