(aiDKD WAVE PUOPACATIOX Til 1!( )r( J 1 1 ( J^' liOM AdNKTIC MKDIA. 11 \)~A 



where .Co is the depth of the fiius. If the ,c-\ari;i(i()ii of llic lichls is e~^ ~ 

 and the waves are guided, the .r-depeiideiice in the plasma must he 

 as e.\p — V/S- — w-)U(i€eff •<■• From e(|uati()ii (81)) 



;^ hitching at .r = gives 



■ni^ — e ViS^ — wVoCeff _ „• , /Mo ^/ N 



This vields 



/i - r,co 4/ ^ Z(co^ 



PO 2, 



2 I 2 A^U 2,^2/ \ 



CO (xije + CO — € Z (oj; 

 Co 



or 



—7= = ^ Z(co) ± 4 A + "1, Z'^(co) . (11) 



CO VMo€o fO K €0 €()- 



Tlie non-reciprocity is clearly exhibited, since the two values of (3 are 

 not equal and opposite. The solution (11) is valid only if IS" > co>oepff , 

 corresponding to guided waves. 



In the second example we assume that the region between conducting 

 planes at .r = and x = xo is filled by a plasma. When no magnetic field 

 is present E, is supposed to vanish and E^, is uniform across the gap. 

 The unperturbed field is then plane polarized (TEM). The magnetic 

 field is now applied parallel to the y axis to that part of the gap between 

 .r = and x = Xi . E, in the magnetized plasma is now given by 



E, = £"0 sin Vco-Moeeff — l^-x 



since it must vanish at x = 0. The z variation is again exp — jl3z. Hy 

 may be found from equation (8b) and is 



^y = .. "^^ " oi \-'^^ ^"^ Vco-Moeeff - |S- X 



C0-)UO€ — P^ 



- e Vc«j2^o€eff - /3- cos Vw-Mi.eeff - /S^ .t]. 

 The admittance of the magnetized section at x = Xi , is thus, 



T7^ = ., "^^ — T, hiS - e Vco'-Mi)«eff - /3- eot Vco-M(.feff - /3- a'l], 



and, analogously, that of the uiimagiiet izcd pai't is 



;, [-61 VcoVoCi - iS" cot \/co-Mo€i - |S^ (:^o - Xi)], 



Hy joi 



Ez co-/io«i — jS 



