the functions [A5(v 5,85;7/6*) 1°, [Ao( v518510*)]° and 
[A, ( Vp 1959-0 /6*)]°.* In figure 28, the elemental waves in 
A,(8,1) are traveling very nearly in the direction 9* = 1/6. 
Ay(8 1) then goes into a symmetric figure which contributes part 
of its power to A,(6',0',1*) and the other part to A,(7',0',1"). 
Note also that the range of integration in equation (10.53) is 
from -7/2 - @* to 7/2 - 9* and that the figure shows A(v 52959776") 
as if it varies from -7/2 to 7/2. The true figure can be obtained 
by slicing figure 28 along the line 8, = 27/6 and rotating the 
pie-shaped sector obtained counterclockwise until aS 1/2 touches 
a= -7/2, Then ®, varies from -417/6 to 21/6. 
For ©* equals zero, the mapping is given by figure 29. The 
shaded areas again show what happens to Ap (8,1). The power in 
A,(8,1) is distributed over A,(4',1',0*), Aj(5',1',0"), Ap(6',1',0°) 
and A,(7',1',0*). The wave elements in the elemental area, 
A,(8,1), are now at an angle to the direction of observation. For 
6* equals -7/6 the power in A5(8,1) is contributed to A,(2',2',-1*), 
An(3',2',-1*), A5(4',2',-1*) and A,(5',2',-1*) as shown by figure 
30. The angle between the wave direction and the direction of x' 
is now greater. 
The computation of B(h,j,h',j',J* 
The value of Gah dgale gat oa“) depends only on the properties 
of the net and not on any unknown quantities. There are 
(m + ea + 1)3 possible values but most of them are zero and 
many of them are numerically the same. There are a possible 77 
values for B(8,1,h',j',0*) if m is 10 and q is 3, but for j' not 
*Note how the circles shown by the solid lines squeeze down to the 
origin. One of them is so small, in fact, that it is not shown. 
= 307 = 
