GUIDED-WAVK PUOPAGATIOX THHOIGH GYIJOMAGNETIC MKDIA Gol 



0.96 



0.94 



0.92 



0.90 



0.88 



0.86 



t 0.84 

 o 



(3 0.82 

 0.80 

 0.78 

 0.76 

 0.74 

 0.72 

 0.70 



-1.3 



-1.2 



-1.1 



-1.0 



-0.9 



-0.8 



t -0.7 

 o 



-0.5 

 -0.4 

 -0.3 

 -0.2 



-O.t 

 



0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 



0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 



Fig. 18 — Cutoff value of a for the TEn-limit mode in the plasma as a function 

 of Tss for various 7^. 



modes in the lower half plane. Similarly the real roots of 



Fi^mS) = -V(l - y'){\ - (1 -g^)^^j, 

 and the corresponding 



0- = +(1 - 9 ) V(i - y^)/[i - (1 - (i')y\ 



are associated with the cut-offs of the incipient modes in the upper half- 

 plane. These equations have been solved for the TEu mode and their 

 solutions shown in Figs. 18(a) and 18(b). 



4.21. Some formulae relating to the plasma (chiefly for TE -modes). 



The formulas given here emplo}^ dimensionless variables (Section 3) 

 except where otherwise stated. 



Approximations for extreme values of a or q 

 (a) small a, q not near unity 



TEim mode: 



= ,8„' + .1,„(T -f B,J -^ 



(70) 



