[SI-LIST] Re: R: Re: Question on varying the coupling ratio on a differential pair

Ryan,

In High Speed Digital System Design by Stephen Hall, et al., Steven
Mumbhy's emprical formulation is quoted as:
er(freq)=6.32 - [2.17 + 0.168 x log10(freq in kHz)] x Vrsn
where Vrsn is the volume content of the resin, which is approximated
as 1-(thickness of the glass cloth/thickness of the dielectric layer)
I didn't see the actual source and don't know how that relation was
derived but according to the book, the relation was experimentally
validated from 1kHz to 1Ghz. Hope that helps.

Regards

Ihsan



On 1/17/07, ryansatrom <ryan.satrom@xxxxxxxxxxx> wrote:
> Thanks for your feedback.  Sometimes, living in the simulation world,
> you forget the real-world effects of boards.
>
> Lee:  Is there any way to predict this frequency dependency of er?
>
> Fred:  Is the frequency dependence of R and G caused by the same issues
> Lee is discussing (dielectric constant over frequency)?  Are there any
> other causes of this?
>
> (As a side note, the equation suggests R and G to be fixed in
> frequency, while L and C are the frequency dependent values.  I guess
> that's why the lumped element model breaks down and models are more
> accurately viewed as distributed full-wave EM models)
>
> Thanks again for the comments.
>
> Ryan
>
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