GUIDED-WAVK PROPAGATION TIIKOI-GII CYUOMAGNETIC MEDIA 013 



and 1 1 and of the .surface ('?(7XXi), <t) between (0„')t and (7^') r it is evident 

 that along any {'ontour such as G{\i , a) = 7v, G{T{\\), a) will take on all 

 positive values from to x and, in particular, 7v. Since this is true for 

 any /\, it follows that the region between Oi , 7i , (7b') r contains a solu- 

 tion curve. Two points on this curve are immediately obvious: the inter- 

 sections of (7b') 7- , 7i and the point (1, 1) on (0„')r , Oc . The first is the 

 intersection of the curves 



X = H- 



V 



1 -\-<J 





1 



I - o-X 



At the point (1, 1), X2 is — x , Xi is unity and /3' is therefore infinite. 

 Armed with this knowledge we now investigate analytically the behavior 

 of 18" near o- = directly from the original G-equation and Polder rela- 

 tions. Writing Xi = 1 + ce and 0- = 1 + 6, (1 — X")/(l — aX) is to zero 



Xa 

 ?-2 -2.0 -1.8 -1.6 -1.4 - t.2 -1.0 -0.8 -0.6 -0.4 -0.2 



Fig. 9(d) — See Fig. <) 



