3. Only the inverse transform of Equation C8 will be obtained here to 

 illustrate the procedure. The inverse transform of the first term in 

 Equation C8 is (noting that q„ = 6q,) 



6a 



y-y - 



ol „ / — - , / fix 

 2/e,t lerfc 



6 + 1 1 



/2l~t 



(C12) 



in which the function ierfc is defined according to Equation 23. The second 

 part of Equation C8 is rewritten by using Equation Cll: 



-q,(6x+L) 



y 2 = 2 i 



Trl tan °oi " m e J — q^— 2 Utt) e 



X n=0 



(C13) 



Rearranging Equation C13 by moving terms inside the summation gives 



-2 



6 tan a 



-^^i (m) 



-q 1 [L(2n+l)+6x] 



q.s 



n=0 



* 2 



o a 



- 2 



(6 + 1) 



^2 



n=0 



\s + 1/ 



-q. [2L(n+l)+6x] 

 n 1 



q.s 



(C14) 



This expression is inverse transformed term by term (Appendix A) . The solu- 

 tion is 



2 o 



Yo " 2 



6 tan a 



11 i* i ^ —i 



^1 



■n=0 



(frr) 2/F i T ierfc 



6x + L(2n + 1) 



2/^t 



.2 



o a 



- 2 



(6 + 1) 



^2 



n=0 



(frr) 2/F i T ierf£ 



6x + 2L(n + 1) 



2/^t 



I 



(C15) 



C3 



