. The Bell System technical journal . / \ A \ ^ ^ CASES 9, 0,14 (c) QC= k=»MAX//| rv -\ 1 u \ r C=o,s/// \ / rf-o 10 \ i II k A f / ^ 8 0 4 y CASES 1C ,11,12 iH r V r\ (b) QC = = k = r k\ (A \ // \ / y ^ c \ / \f A \ \ /^, = >U,MAx/^ / A / \ // / \ / f \ \ A / I / J /09« / 11 y / \ \ . // / / 11 / \J 17 // Ai.^i ^^ w 1 / y ^^ .^^ -^ >^ ^1 = ,MAX1 1 7 8 y 10 11 12 13 14 15 Fig. 7(a) —p^/po versus ?/, (a) using QC as the parameter, for A; = , C = ,and 6 for maximum small-signal gain (Cases 2,10, and 19); (b) using h as the param-eter, for k = ,


. The Bell System technical journal . / \ A \ ^ ^ CASES 9, 0,14 (c) QC= k=»MAX//| rv -\ 1 u \ r C=o,s/// \ / rf-o 10 \ i II k A f / ^ 8 0 4 y CASES 1C ,11,12 iH r V r\ (b) QC = = k = r k\ (A \ // \ / y ^ c \ / \f A \ \ /^, = >U,MAx/^ / A / \ // / \ / f \ \ A / I / J /09« / 11 y / \ \ . // / / 11 / \J 17 // Ai.^i ^^ w 1 / y ^^ .^^ -^ >^ ^1 = ,MAX1 1 7 8 y 10 11 12 13 14 15 Fig. 7(a) —p^/po versus ?/, (a) using QC as the parameter, for A; = , C = ,and 6 for maximum small-signal gain (Cases 2,10, and 19); (b) using h as the param-eter, for k = , C = and QC = (Cases 10, 11, 12 and 13); and (c) usingC as the parameter, for k = , QC = and h for maximum small-signal gain(Cases 9, 10 and 14). 368 THE BELL SYSTEM TECHNICAL JOURNAL, MARCH 1956 mental component of the electron charge density of the beam multipliedby a constant / Zq/o C 2uo 2wo\h) (27) V 4C 2(1 + hC)The ratio of the electron charge density to the average charge density, P«(2) Po 2319^215 17/^,1 9. ^ +e Fig. 8(a) — y versus <f - hrj for QC = , k = , b for mi = = small. Ml (max) and A LARGE SIGNAL THEORY OF TRAVELING-WAVE AMPLIFIERS 369 is plotted in Fig. 7 versus y, using QC, h and C, as the parameters. Theylare also the curves for the backward wave (the component which is! coupled to the beam) when multiplied by the proportional constant givenin (27). It is interesting to see that the maximum values of p^/po arebetween and for QC = and decrease as QC increases. Thepeaks of the curves do not occur at the saturation values of y. 10. y VERSUS ((p — by) diagrams To study the effect of C, b, and QC on efficiency y versus (<p — by)diagrams are plotted in Figs. 8(b), (c), (d) and (e) for Cases (21), (16),(10) and (21), respectively. {<p — by) here is ($ + 6) in Nordsiecks nota-tion. In these diagrams, the curves numbered from 1 to 24 correspond tothe 24 electrons used in the calculation with each curve for


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Keywords: ., bookcentury1900, bookdecade1920, booksubjecttechnology, bookyear1