674 THE BELL SYSTEM TECHNICAL JOURNAL, MAY 1953 



A ja Ae-"-*, (41) 



Cl^hL + e"\A"' - A-"% (42) 



and 



where 



HB) !^l(jj" Le""' (43) 



*(B) 



4(4^)1 



for -1 < 5 < 1 



!: for 5 = 1 



2 



L(^,r4(ii^r] '«•— ■ 



Thus ^ p, n, and S can be computed as functions of ^ for any choice 

 of U, L, and A consistent with (40). 



DESCMPTION OF SAMPLE FIELD DISTRIBUTION COMPUTATIONS 



The results of the foregoing analysis were used to compute ^{y) and 

 S{y) f or A = 1 (symmetric case, N = P) and the combinations of U 

 and L indicated by the following table: 



U 



The results of these computations are presented in Figs. 3-5 (pages 

 675 to 677) as plots of ^/U versus y/L, and in Figs. 6-8 (pages 678 to 

 680) as plots of £/(2U/L) versus y/L. {2U/L is the average reduced 

 field strength for the intrinsic region.) Selected curves from the above 

 figures are replotted on non-logarithmic axes in Figs. 9 and 10 (pages 

 681 and 682). The curves need only be plotted for < y/L < J^ because, 

 by symmetry for A == 1, S{L - y) = S(y) and i^(L — y) == —^iy)- 

 The ordinates and abscissas of Figures 3-10 are given in terms of the orig- 

 inal unnormalized variables by 



i = jL i = « and t: _ E 



U <K0)' I L 2U/L 2f(0)/L- 



(2^(0)/!/ is the average field intensity for the intrinsic region.) 



