COMORMA L /"AM XSFORMA I'lON I2.S 



Tlu' function we require is obtained by differentiating (Al-1) and (Al-.V): 



= (1 - hYif - h^-b/n 



bT ch'w/2 T 



IT \_sh^(w — /) sh^{w + /)J 



TT \_{e^-' - l)(e«'+' - 1)J 



(Al-6) 



where 



h = tanh t/2 (Al-7) 



For a 90 degree corner a = 1/4 and 



i = 2''^(1 - d/do) (Al-8) 



where, in Fig. 1, d — | S4 — 2o | and do = \ Zi — Ze \. In order to obtain 

 the relation between /, defined by (Al-7), and d/do various values of h- 

 were picked and the corresponding values of / and d/do (using (A 1-2) and 

 (Al-8)) computed. Representative values are given in the following table. 



APPENDIX II 



Integrals Associated with Corners of Small .\xgle 



The derivation of the integrals encountered in Sections 7 and 8 will be 

 outlined here. The first ones are 



1 r 



/i(«, v) = / log(c/; u — cos 6) log {ch v — cos 6) dd 



