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how do I calculate the channel-length modulation from proces

 
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field_catcher



Joined: 27 Dec 2004
Posts: 26


Post14 Nov 2005 14:50   how do I calculate the channel-length modulation from proces

Dear All,

I have seen some posts regarding this issue. But no one tells how to "Calculate" the lambda from process parameters. I know how to measure Lambda by doing simulation. But I want to know how to calculate it too.

My justifcation to this question is:

Lambda is listed as a prameter in level 1 and 2 model, but not in level 3 model. There must be some equation we can derive the lambda from level 3 model parameters.

Can anyone help? No matter how complex or tricky the equation is?



Thank you all!



Jianhong
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mince



Joined: 19 Feb 2005
Posts: 88
Helped: 10
Location: Texas


Post15 Nov 2005 1:51   Re: how do I calculate the channel-length modulation from pr

λ=sqrt(2ε/qNa) / (2*L*sqrt(Vds-Veff+phi))

ε = permitivity of the substrate
q = electron charge
Na = impurity concentration of the substrate
L = length
Veff = Vgs-Vt
phi = built in potential between diffusion and substrate

Simulating a single transistor will give you better results though.
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mady79



Joined: 30 Mar 2004
Posts: 88
Helped: 6


Post15 Nov 2005 10:03   Re: how do I calculate the channel-length modulation from pr

plot Id vs Vds for different Vgs and measure the slope of the curve in sat region and use lambda =(Id2-Id1)/(Vds2-Vds1)

hope this works
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field_catcher



Joined: 27 Dec 2004
Posts: 26


Post15 Nov 2005 18:13   Re: how do I calculate the channel-length modulation from pr

Mince,

Thanks for the equation. Can you tell me where you get the equation (e.g the reference)? Thank you!



Jianhong
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