SHOT NOISE IN DIODES 



605 



From this value of the average rate of emission, and from the 

 definition of H and G in (31), and since the plate impedance of the 

 planar diode is given by (28), the final expression for the mean square 

 noise generator voltage may be expressed as follows: 



where 

 X 



B 



Ef' = Akr,.{\T)dJ, 



10 



drjo 

 + 



$(x)$(z) 



Z=0 X=2 •^J/=V- 



$(x)<J>(2) 



^o==^(F'- V,), 





B = 



/('Jo) = 



C 



Fir),') +/(77o) , dFir),') , ^/(r^o) 



+ 



^lo' 



dr]o' 

 dx 



+ 



^TJc 



eIodf(r]c 



kT dr]o 



e^ - 1 + 





(Jil-iJJ'" 



.[ 



if 



1 - e-P(Vx) + 2 



V^]" 



"' [Vy" + X — y] 

 $(x) 



(ix. 



Vtt 



[Vy- + X — y']d. 



X 



1 - e-P(^'x) + 2 



3/2 



$(x) = t^ - 1 + e^P(4x) - 2 



P(x) =A r%-2^x. 



Vtt Jo 



Part II — General Discussion 



The analysis in Part I shows that as soon as a potential minimum 

 exists, the tube noise in a planar diode is equivalent to the thermal 



(45) 



dxdydz 



dxdydz \ , (46) 



B 



(47) 



