SHOT NOISE IN DIODES 



60S 



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 



^IJo 



dr]o 

 + 



E/ = Akr^{\T)df, 



y{B - C - Dy-e-y^dy 



(45) 



y^y-i -|- X VyiPz e~y 



dxdydz 



4 po' p r 



Z=0 X = Z ^i/=V— 2 



T?o=^(r- V,), 



Vo 



kT 



V 



J, F(vo') -hf(vo) , dF(W) , df(vo) 

 B = ;^ 1 1 — 7 h 



B 



F{m') = 



^vo' 



drjo' 

 dx 



dr]Q 



eh dfirio) 

 kT dr]o^ 



e^ - 1 



+ 6-P(V^) - 2j^V" 



dx 



[ 6- - 1 - 6-P(V^) +2/^1 



1/2 



c 



1 no' [V/ + X — 3/] 



Vtt Jo 



^(x) 



dx, 



D = 



1 



[Vy + X — y~\dx 



<j)(:c) = r e- - 1 + e-P(V^) - 2 /^ 



3/2 



Vtt Jo 



P(x) = 



^(/x. 



Part II — General Discussion 



(47) 



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 



