- 136 



is first considered, and then expressed in complex form: 



= Re 



ibe -ibe 

 5 + e 



(6.8) 



Expanding, 



= R 



B , 4ib6 ^ 2ibe „ -2ibe 4ibe 

 T-rCe + 4e + 4e + e +6) 

 15 



Equation 6.7 can be written as: 



= |-(cos 4be + 4cos 2be + 3) 



Letting b=l/2, and factoring 3, the function becomes; 



3 4 1 



— B(l + — COS e + — cos 20) 



o 3 3 



(6.9) 



The weighted angular distribution must satisfy the requirement 



2t: 



SCa) = 1 S(a,e) d0 

 0. 



(6.10) 



to retain the original energy calculated in the spectra. Hence, B 

 must equal 8/3. The coefficients w^, w^ , and v^ ^^^ taken as 1, 2/3, 

 and 1/6 in accordance with the definition of the Fourier coefficients 



