[SI-LIST] Re: Via impedance

  • From: "Yuriy Shlepnev" <shlepnev@xxxxxxxxxxxxx>
  • To: <sukumarm@xxxxxxxxxxx>, <si-list@xxxxxxxxxxxxx>
  • Date: Wed, 27 Nov 2013 13:32:15 -0800

Hi Sukumar,

When you create a model of via-hole, the primary design parameter should be the 
reflection from the via. The reflection is frequency-dependent and better vias 
have lower reflections over wider frequency band. Lower reflection means that 
more power is transmitted through the via (assuming that the via is localized). 
Ideal non-reflective via is completely transparent for the signal. In reality 
all vias reflect signals and there must be a goal for maximal possible 
reflection over the target frequency range. Reflection below -20 dB over the 
frequency bandwidth of your signal is an example of such goal. 

Though, an effective impedance of a via may be helpful and can be estimated 
with simulated or measured S-parameters as follows:
1) As the input impedance of the via terminated with the target impedance on 
both sides: Zvia=Zt*(1+|S11|)/(1-|S11|), where Zt is the target impedance of 
the channel, |S11| is magnitude of the reflection parameter either in terminal 
space for single-ended vias or differential in the mixed-mode space for 
differential vias (|Sdd11|). This impedance will be frequency-dependent and may 
be useful to estimate quality of the via. It looks like you have used this 
approach below.

2) Build approximate transmission line model of via as outlined in L. 
Simonovich paper "Method of Modeling Differential Vias" available at Lambert's 
web site http://lamsimenterprises.com. The impedance of the t-line may be 
considered as the effective impedance of the via. The impedance in this case is 
not frequency-dependent and may be good only if via geometry is very close to a 
quasi-periodic structure.

3) Create a linear network with two short segments of transmission line and via 
in the middle, compute TDR response and plot it as Z(t) (in terminal space for 
single-ended vias and differential in the mixed-mode space for differential 
vias). Short segment of real or ideal t-line with the target characteristic 
impedance are needed to make the structure electrically larger. Without 
additional segments, a very short rise time may be needed to resolve the via on 
TDR plot, that will require prohibitively large frequency bandwidth for the 
analysis. In general, line segments with flight time larger than the rise time 
may be acceptable to have some impedance value at the via location.

The last approach may be preferable, because of it can be compared with the 
measured TDR. Though, there are a few caveats here. First of all, the TDR rise 
time must be correlated with the bandwidth of the electromagnetic model. On the 
other hand, the resolution of the via details depends on the rise time and 
frequency content of the step function and frequency bandwidth of the model. 
Reducing the rise time resolves the smaller details, but only within the 
frequency band of the electromagnetic model (or measurement). With very small 
rise time you may see very large variation of the impedance that either 
characterize via behavior at very large frequencies (or even completely 
artificial if the spectrum of the excitation is outside of the frequency band 
of the model). Such impedance estimation may be too pessimistic. On the other 
hand, if slow rise time is used or if long real lossy lines are used and act as 
the low frequency filters - you may see the via impedance at lower frequencies 
(will be always close to the target impedance) and this estimation may be too 
optimistic. The approach with TRD require some considerations before being 
applied to a particular via.

Best regards,
Yuriy

Yuriy Shlepnev, Ph.D.
President, Simberian Inc.
3030 S Torrey Pines Dr. Las Vegas, NV 89146, USA
Office +1-702-876-2882; Fax +1-702-482-7903
Cell +1-206-409-2368; Virtual +1-408-627-7706
Skype: shlepnev

www.simberian.com 
Simbeor – Accurate, Fast, Easy and Affordable Electromagnetic Signal Integrity 
Software
2010 and 2011 DesignVision Award Winner


-----Original Message-----
From: si-list-bounce@xxxxxxxxxxxxx [mailto:si-list-bounce@xxxxxxxxxxxxx] On 
Behalf Of Sukumar MR
Sent: Wednesday, November 27, 2013 10:51 AM
To: si-list@xxxxxxxxxxxxx
Subject: [SI-LIST] Via impedance

 
  

Hi Experts, 

                I want to control via impedance. 50 Ohm for Single ended signal 
via &100 Ohm for Differential signal via. I have S parameter (.snp) file for 
via. How can I calculate the via impedance at particular freqency? 

 May I use below formula for Single ended, 

  Via impedance= 50 *((1+Return Loss in Linear form)/ (1-Return Loss in Linear 
form)) 

Please share your ideas. 

  

Regards, 

Sukumar
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