(UHDED AVAVE P1U)PA(..\TI()N THHOICII (!YU()MA(iNKTl(' MEDIA. II 973 



^ -4 



Q. -3 



<^ 



0.4 0.6 0.8 1.0 



ToPoCOT^ 



Fig. 12(b) — See?Fig. 12. 



1.2 



the following procedure: Introduce the parameter 



= I /3 I ro . 



(38) 



For a given pu and m (or a and p), and a given sign of /3, each value of 

 w determines /3 through equation (37), and then ro through equation (38). 

 Thus /3 can be plotted versus ro . The procedure is repeated for the op- 

 pasite sign of /3 (and therefore the opposite sign of x)- A different curve 

 of jS versus ro is then obtained. Thus for a given value of ro , the "forward" 

 and "backward" propagation constants are different in magnitude. 

 The results (computed for a typical ratio ci/to = 10) are conveniently 

 stated in terms of |8 = /3/(/3o cot i/') and fo = ro/3o cot i/' and are shown 

 in Fig. 12(a) to (c), and again, for fixed fo , in Fig. 13(a) to (e). We note 

 that for fo in excess of about 1 .5, the results are almost the same as those 



