. The Bell System technical journal . = IttThis sort of drift action is illustrated by the curve shown in Fig. 136 (gll) 2 TT GAP VOLTAGE, V Fig. 136.—Ideal variation of drift time in the repeller region with resonator gap voltage. The problem of finding the variation with distance which would give thisresult was referred to Dr. L. A. MacCoU who gave the following solution: Suppose Vo is the voltage of the gap with respect to the cathode and $ isthe potential in the drift space. Let Xo = \/2r]Vo/u (gl2) Here co is the operating radian frequency. Let x be a measure of distancein the drift field
. The Bell System technical journal . = IttThis sort of drift action is illustrated by the curve shown in Fig. 136 (gll) 2 TT GAP VOLTAGE, V Fig. 136.—Ideal variation of drift time in the repeller region with resonator gap voltage. The problem of finding the variation with distance which would give thisresult was referred to Dr. L. A. MacCoU who gave the following solution: Suppose Vo is the voltage of the gap with respect to the cathode and $ isthe potential in the drift space. Let Xo = \/2r]Vo/u (gl2) Here co is the operating radian frequency. Let x be a measure of distancein the drift field. 4> = Foil - (x/.vo)], 0 < X Xo (gl3^ 662 BELL SYSTEM TECHNICAL JOURNAL ■\ s. OA j£_ a4 • \ V \ > \ \ X^ S \ \ \ s. \ 0 !.2 24 X^0 Fig. 137.—Variation of potential in the repeller region vs distance to give the charac-teristics shown in Fig. Fig. 138.—Electrodes to achieve approximately the potential variation in the driftregion shown in Fig. KEFLEX OSCILLATORS 663 The shapes for electrodes to realize this field may be obtained analyticallyby known means or experimentally by measurements in a water tank. Thegeneral appearance of such electrodes and their embodiment in a reflexoscillator are shown in Fig. 138. Here C is the thermionic cathode formingpart of an electron gun which shoots an electron beam through the aperturesor gap in a resonator R. The beam is then reflected in the drift field formedby the resonator wall, zero potential electrode I and negative electrode II,which give substantially the axial potential distribution shown in Fig. apertures in the resonator wall and in electrode I allow passage of theelectron beam without seriously distorting the drift field. Voltage sourcesVi and V-i maintain the electrodes at proper potentials. Either suitableconvergence of the electron beam passing through
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