GUIDED WAVE PROPAGATION THROUGH GYROMAGNETIC MEDIA. II 959 



^5. 

 u? 1.2 



^,.0 



0.8 



p=0.6> 



p=0.6 



p=0.6 



0.5 1.0 



ff 



Fig. 5 — The non-reciprocal propagation constants of the flat helix. The dotted 

 curves represent /3+ , the solid curves /3_ . (Loss free case). 



produce an appearance of sharpness in the variation of the loss at 

 higher frequencies. 



If the slow wave assumption be made again it is possible to obtain 

 solutions for the case in which the ferrite does not touch the helix and 

 the latter is lossless. With the slow wave approximation, (17) becomes 



^±^ 



1 + 



M + K sgn |8 



Mo 



+ tanh I ,8 I x^ 



/3o2 C0t2 ^ e , , 



1 + — tanh I (8 I rco 



Co 



M + K sgn /3 



Mo 



+ 1 



If we write ] /3 [ a'o = t<, then the above equation (expresses /3± in terms 

 of u. At the same time .To = \i/\ 0±(u) \ and we evidently have a para- 

 metric representation of ^^ and Xo . The results of such computations 



