FIELD SOLUTIONS 



633 



We can simplify the picture a little. The open edges of the slots merely 

 form impedance sheets. 



From 4.12 we see that aX y = —d 



Hx /coe ^ . , 





B 



= -jB 



■\^e/ II cot /3o// 



(14.1) 



(14.2) 

 (14.3) 



Jq amp/cm2 — 



Fig. 14.1 — Electron flow completely fills the open space between two finned structures. 

 A strong axial magnetic field prevents transverse motions. 



Hx=JBE2 



y=d 





Hx=-jBEz 



Fig. 14.2 — In analyzing the structure of Fig. 14.1, the finned members are regarded as 

 susceptance sheets. 



for 



/3o/co€ = 1/ce = ■\/ jx/e — 377 ohms 



Similarly, at j = -{-d, 





(14.4) 



(14.5) 



We can use fJ as a parameter rather than h. Thus, we obtain the picture 

 of Fig. 14.2. This picture is really more general than Fig. 14.1, for it applies 

 for any transverse-magnetic circuit outside of the beam. 



