MIT RadLab {complete set} Vol 09 - Microwave Transmission by G. Ragan

By G. Ragan

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Example text

As an interesting application of this result, let us see what thickness of conducting plane, carrying the same total current uniformly distributed, would give the same loss. , the loss per unit area in a sheet of thickness d, which has a conductivity u2, is (137) Equating Eqs. (133) and (137) gives so that d = —=-. (138) dirvp,u, It will be noticed that this expression ford is precisely that given by Eq. (78) as the ‘[skin depth” or “depth of penetration,” denoted by 6. The magnetic field H,, electric field E,, and associated current density J.

To the conducting planes, induces currents on them as indicated. The direction of propagation of the energy is given by the right-hand–screw rule: it is the direction of advance of such a scre\v when turning the vector E into thr vector H, the axis of the scre\v being perpendicular to the plane containing E and H. The ~~a,veof Fig. 16 is l)eing propagated in the positive z-direction, as indicated by the ~,ertor P. 8] SIMPLE PARALLEL-PLA YE WA VEGUIDE 41 magnetic energy across unit area in this direction, is given by the Poynting vector, S= EXH, E and H being instantaneous values at the point considered.

G. , ,. ~~ Y This seems reasonable, by a simple averaging across the a dimension. since the longitudinal current associated ~Yith the voltage is strongest at thecenter; and, consequently, thehigher voltagesat the center shoukl be given gleater weight in the averaging process than the lower voltages nearer the side walls. In the procedure outlined above thetransverse currents were ignored and the total longitl~dinal current flo~ving in the top and bottom ]valls vas Then an effective voltage \vasdefined as that voltage }vhich, calculated.

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