GUIDED-WAVE PROPAGATION THROUGH GYROMAGNETIC MEDIA ()4l 



2.0 

 1.5 



U. -0.5 

 -1.0 

 -1.5 

 -2.0 



Fig. 15 — The function 



Fin) 



1 - F{ro) 



related to cutoff of Tj-pe 3. 



T = (To , jS" — > =0 and near —ao we have 



P' = 



V 



1 



(52) 



ro^dcTol - |a|) (2 - I p Hero I)- 



Type 3. Intersections of Is ~ (Ia)t; for — cro < o- < only; no sub- 

 script is needed. 



/3' = 0, 



(T = -1 -p, 



and 



OP') (a/3') 1 F(ro) 



(see Fig. 15) 



(54) 



{da)p (dp). p 1 - F(ro) 



The cut-off points of the modes follow various schemes in different 

 ranges of a as indicated below. 



For 0- > 0-0 we have Table I. When a < — o-y , 1,/ replaces 1„ in the 

 Table I. "None" indicates that the mode exists, but has no cut-off. 



For < 0- < o-u we ha\'e Table II. "N.P." in Table II indicates that 

 the mode is not propagated. For — au < cr < wo have Table III. In 

 this range of a one has also the mode without classical analogue. For 

 ro < ;/i this is cut-off at 3 and 2^ and may have a second branch from 

 2o2 to 2ox . For fo > wi the second branch only exists. 



