338 



BELL SYSTEM TECHNICAL JOURNAL 



ordinate, whose value and location depend on b. When b increases from 

 to 1, the maximum ordinate decreases throughout but the value of r where 

 it is located remains nearly constant, at about 0.82, until b becomes about 



0.40 

 Z 

 O 



3 0.35 



tr 



^ 0.30 



a 



0.25 

 0.20 

 0.15 



0.1 0.2 0.3 0,4 0.5 0.6 0.7 0.8 0.9 1.0 I.I 1.2 1.3 



RECIPROCAL OF THE MODULUS, P 



Fig. 4.1 — Distribution function for the reciprocal of the modulus (r = to 1.4). 



0.7, after which the location of the maximum value moves rather rapidly 

 to about 0.71 for ft = 1. 



For the cases 6=0 and b = 1, it is easily found, by differentiating (4.7) 

 and (4.8), that the maximum ordinates are located at r = \/2/3 = 0.8165 

 and at r = l/'\/2 = 0.7071 respectively; and hence, by (4.7) and (4.8). 

 that the values of these maximum ordinates are (3\/3/2 exp (—3/2) = 



