TRAVELING-WAVE TUBES 

 The power associated with the propagation is given by 

 P = ^Re f EX H*dT 

 taken over a plane normal to the axis of propagation. This is 



P = TrRe 

 or 



P = tEKO) 



[ (ErHt - E^H*)rdr + ! (ErHt - E^Ht)rdr 



Jo Ja 



1 + c 



7°^ ) / I\hr)r dr 

 iiAo/ ''0 



+ 



^2(0)f/-^L 



1 + ^' ) (/; - /./=) 



-ti Ao 

 + 



(0(-^-^:)'— 4 



where k = 120 tt ohms. 

 Let us now write 



{K/^'Py" = WfioY'^y/^rFiya) 



where 



+ (|y(A-.A,-Al)(.+^»)]}- 



59 



(36) 



(37) 



(38) 



(39) 



(40) 



We can rewrite the expression for F(ya) by using relations, Appendix I: 



