LEY 21147 PDF

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21417 Similarly, the x-components of the electric field intensities of the transmission line are shown in Figs. Acknowledgment The authors wish to thank Captain Carl E. A third computer program was developed to calculate the field intensities at a set of predetermined points in the transmission line system by use of the Newton-Raphson method for the complex function.

If the ground and the plates are assumed to be perfectly conducting, the line can support 1.

Based on the results 2117 in Sections’ 2 and 3, the following observations are made for field lines and electric field intensities.

Henceforth, by the field intensity, we mean the relative field intensity. A-1the coordinates of which represent the separation distance between the transmission line system and the plane ground. Ground PI,-ne I 0 I Assuming that the ground is a let conducting plane, an exact electrostatic solution is obtained by conformal transformation for such a transmission line system.

The point to in the t-plane corresponds to the point C in the z-plane Fig. The graphs for the relative electric field intensities of a semi-infinite parallel pl-ate transmission line show that, as a whole, the effect of the presence of a perfectly conducting ground on the field intensity is significant, as far as in the region between the upper plate and the center plane is concerned, only when the separation of the ground is less than one-half the separation distance of the parallel plates i.

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C0 CC 4’4 -0 0 co co In Section 3, results of numerical computations are presented for field-line distribution and electric field intensity for several ground proximities. The use of ely in A. Theoretical Results In this section we present a theoretical discussion on field lines and electric field intnsiLies in a semi-infinite parallel plate transmission line system in the proximity of a perfectly conducting plane ground.

The coordinates of the corresponding points in each plane effected by the successive transformations are tabulated below.

Lines In this section we present the electric and magnetic 211147 lines of a semiinfinite parallel plate transmission line near a perfectly conducting plane ground, i. The theoretical results so obtained are discussed in Section 2.

Ln this note the effect of the ground proximity on the field distribution will be discussed in order to establish such ground effects in explicit numerical terms. It is not readily apparent from this equation how Eyre and Exrel would behave there. In this case, A.

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The dotted lines superimposed on each figure represent the field lines of the similar transmission line without the ground in the Figs. It is also seen 9. When a semi-infinite parallel plate transmission line is in the proximity of a perfectly conducting plane ground, one expects the field distribution and impedance of a transmission line to be modified to a greater or 12147 extent, depending on the degree of the ground proximity.

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Since the subject of central importance posed by the problem is the effects of the ground proximity on the distribution of the field lines and electric field intensities, these quantities are presented in this section in graphical form with a view to showing the parametric effects on the field distributions. From the contour plots, it is observed that, as a whole, the presence of a perfectly conducting plane ground causes the field strength to be enhanced in a neighborhood of the upper edge and to be weakened in a region where the center plane intersects the ground plane.

Ly E E 1 uniform b Yuniform It seems appiropriate, therefore, to 21174 the field intensity of the tr-ansmission line with respect to the uniform field. This region can be transformed by Schwartz-Christoffel transformation, onto the upper half of the t-plane with the line segments A-P-Q-C-D transformed into the real axis of the t-plane. This basic structure can be considered as the proto-type of simulators considered in other notes 3 4. A semi-infinite parallel plate transmission line system in the z-plane in the presence of the perfectly conducting ground.

ExrorI db – Center Platie – lwy. Ltinr the real and imaginary parts on both sides, one finds 2b C1 7r A. In particular, the field distribution and line impedance of a parallel plate transmission has been examined in detail by Baum and extended by Brown and Granzow.

This was done solely for the sake of graphical clarity.

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