DIFFRACTION OF RADIO WAVES KY A I'AHAHOLIC CVI.INDKH l!M 



and 37r/2 have the same shape and bolli are highest at the saddle ])()iiii 

 whose argument is — 37r/4. In botli oases the contributions are the same 

 and hence liie vahie of U^iz), for example, is the same for ai-g m = — 7r/2 

 as for 37r/2 (as it must be since our paraboHc cylinder functions are one- 

 valued functions of ???)• 



Before lea\-ing the region around m = we point out that when 

 I tn/p' I « 1 the path of steepest descent through ^o is almost inde- 

 pendent of arg m. Also, the curves of steepest descent for 



l/r(m) =~ f e't 

 2Tn Ju 



dl 



(11.8) 



PATHS SUPERPOSED 

 BUT ARGUMENTS OF t 

 DIFFER BY 277 



= + 57r/4 



t,/lt, 



m =0-005/5' 



Fig. 11.5 — Paths of steepest descent for \m\ = 0.005 p^, z = ?"2p- These 

 curves are much the same as those in Fig. 11.3(b) except for the values of arg m. 



