. The Bell System technical journal . )v (35a) 416 SVSTI-:\I TKCIIXICAL JOIRXAL (a) \ \\\ \ -.^ -^^ 2. X^ ^^ ^^ .60 7- |^i^3^60 C |CII (b) 1 \ N >^ ^ es OF , 5- t T 1 0 Fig. 5—Steady-state curve of hole density »a against distance .v, for the case of idealvolume recomhination (recombination rate = «/,«e/rWo), and asymptotic approximationsto this curve. EXCESS SKM/COXDICTOK HOLE while, for the recombination function leadinj^ to (.^Ih), t ^
. The Bell System technical journal . )v (35a) 416 SVSTI-:\I TKCIIXICAL JOIRXAL (a) \ \\\ \ -.^ -^^ 2. X^ ^^ ^^ .60 7- |^i^3^60 C |CII (b) 1 \ N >^ ^ es OF , 5- t T 1 0 Fig. 5—Steady-state curve of hole density »a against distance .v, for the case of idealvolume recomhination (recombination rate = «/,«e/rWo), and asymptotic approximationsto this curve. EXCESS SKM/COXDICTOK HOLE while, for the recombination function leadinj^ to (.^Ih), t ^ - hid + M/^ )-■>- 1 - 1 + 2(1 + ix, nu)v 4i; (35b) In Figs. 5a and 6 the lower dotted curve represents the sum of the terms of(35a) or (35b) respectively as far as the term in In v. in this approximationthe dei)endence of v on ^ is exponential. An exponential behavior of thissort is assumed in the small-signal theory of the modulation of the resistanceof a filament of semiconductor by hole injection. The upper dotted curve. Fig. 6—Steady-state curve of hole density Uh against distance .v. fur the case of idealsurface recombination (recombination rate = «/,/r), and asymptotic lothis curve. in Figs. 5a and 6 is a plot of (35a) or (35b), respectively, with the linearterm included. It will be seen that in both figures the simple exponentialapjiroximation is already quite far off when v =^ )ih )in = , though itimproves rapidly for smaller v. Figure 7 shows a sample plot of v against ^ for the case of ideal volumerecombination (eqs. (31a) etc.), for the numerical conditions s ^ 1, Il = (cf Fig. 4). According to (12), whose validity at ^ = 0 is unimpaired by theoccurrence of recombination, this value of j-i imi)lies /,. /, = 6.^. The left- \V. Shocklev. O. L. Pearson, and J. R. Haynes, Bell Sys. Tech. Jour., this issue. 418 BELL SYSTEM TECHNICAL JOURNAL hand portion of this curve is simply traced from Fig. 5, with a horizontalshift suflicient to
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Keywords: ., bookcentury1900, bookdecade1920, booksubjecttechnology, bookyear1
