Analytical Characterization Of A Line Bend
Author(s)
S. Tkatchenko, F. Rachidi & J. Nitsch
Abstract
In this paper, we propose an analytical approach to characterize a transmission
line bend. First, an electric field integral equation is derived under the thin wire
assumption. The equation is solved using perturbation theory and analytical
expressions are derived for the reflection and transmission coefficients
associated with the line bend. The derived analytical expressions are compared
with ‘exact’ numerical results published by other authors and a very good
agreement is found. The developed analytical expressions can also be used to
evaluate the radiated power associated with the line bend.
1 Introduction
The current along a uniform transmission line in absence of any external
excitation can be represented as the sum of a forward propagating wave
) exp( jkz − and a backward-propagating wave ) exp( jkz . Further, no radiation is
associated with such a line [1].
Radiation effects appear when the uniformity of the line is disturbed [2]. In
particular, for lines of finite length, the line uniformity is disturbed near the
loaded terminals of the line. Another type of nonuniformity is due to the
presence of 'bends' in the line (see Fig. 1). This is an important problem in
electromagnetic compatibility and has been the subject of many recent
publications (e.g. [3-7]). In this case, radiation occurs in the 'near-bend' region.
Quantitatively, the current distribution along the nonuniform line, sufficiently far
from the near-bend region, can be described in terms of complex reflection and
transmission coefficients R and T associated with the bend
≥ −
− ≤ + −
=
h l jkl T
h l jkl R jkl
l I
2 ) exp(
2 ) exp( ) exp(
) ( (1)
Keywords
Related Book
Other papers in this volume
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