Re: PCB trace with controlled impedance
- From: Mikko Kiviranta <Okkim.Atnarivik@xxxxxxxxxxxxxx>
- Date: Wed, 30 Nov 2005 16:16:30 +0200
Zhiheng Cao wrote:
Is there any reference on how to calculate Zo when the top plate is surrounded (horizontally) by ground plate.
This structure is sometimes called a "Coplanar Waveguide with Ground". Eq 3.4.3.1 from Waddell says
Zo = 188.5ohm / [ sqrt(er,eff) ( K(k)/K(k') + K(k1)/K(k1') ) ]
where
1 + er K(k') K(k1) / (K(k) K(k1'))
er,eff = ------------------------------------
1 + K(k') K(k1) / (K(k) K(k1'))k = a/b, where a is the trace width and b is the width of the groove (trace plus the two insulating gaps)
k1 = tanh( Pi a /(4 h)) / tanh( Pi b /(4 h)) where h is the substrate thickness
k' = sqrt(1 - k^2) k1' = sqrt(1 - k1^2)
The function K(x) is the elliptic integral.
Regards,
Mikko
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- From: Zhiheng Cao
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