# [SI-LIST] : return current distribution in diff pairs

Eric Bogatin ([email protected])
Thu, 23 Sep 1999 12:17:21 -0500

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Hi guys-

There has been some discussion recently about the current distribution of
the return path in differential pair lines. I think it is a common
misconception that the other line "carries" the return current of the first
line. This may be true when the off diagonal elements of the characteristic
impedance matrix are very small compared to the diagonal elements, as in
shielded twisted pair, but not in typical board geometries.

In the classes I teach, I show an example of the current distribution in the
case of two 50 ohm coupled microstrips, 5 mil line and space, coupling of
about 10%. There is less than 10% overlap of the return currents in the
planes. This is ultimately a "skin depth related" effect. I have appended a
copy of one of my slides showing the current distribution at 100 MHz sine
wave freq for the current in the signal lines and the return path in the
plane below. This was done using the Ansoft Maxwell 2D Extractor field
solver, assuming copper for all the conductors. Unfortunately, I can only
plot the magnitude of the current, not the sign. So, I plot in the top
example, the current in the plane when only one conductor has current, +1A,
showing that most of the return current is directly under the signal line.
Then I plot the current when one has +1A and the other has -1A. You can see
there is clearly a lot of return current in the plane.

The lesson here is to always treat the return currents with as much care and
respect as the signal currents, even in differential pairs, unless you know
for sure the return currents are cancelled in the planes. Of course, the
actual current distribution in the planes will depend on the precise cross
section and spacings.

If the traces go over a split in the return path, the currents will probably
mix, and may go to zero at one spot, but the impedance of the two modes will
be radically changed in this region and you will generate common mode
voltages where there were none before- causing discontinuity problems,
termination problems, switching noise problems and EMI problems (did I leave
any out?). Of course, you need to simulate the magnitude of the problem to
evaluate whether for the given split, the noise is still under an acceptable
limit. But the defensive strategy is treat return paths in differential
pair, like you would for single ended lines.

--eric

Eric Bogatin
BOGATIN ENTERPRISES
Training for Signal Integrity and Interconnect Design
26235 W. 110th Terr.
Olathe, KS 66061
v: 913-393-1305
f: 913-393-1306
pager: 888-775-1138
e: [email protected]
web: www.bogatinenterprises.com

> -----Original Message-----
> From: [email protected]
> [mailto:[email protected]]On Behalf Of D. C. Sessions
> Sent: Wednesday, September 22, 1999 7:35 PM
> To: [email protected]
> Subject: Re: [SI-LIST] : Q: Plane-jumping return currents
>
>
> Eric Goodill wrote:
> >
> > Mike Jenkins wrote:
> > >
> > > Eric,
> > >
> > > One line of your question, "My system is running pretty fast
> > > (> 1 Gbps)", caught my eye. At that speed, which I assume might
> > > be Fibre Channel or Gigabit Ethernet, you may well be running
> > > differential. (If not, good luck to you.) But if your lines
> > > are dif'l, they carry their own return current. Depending on
> > > geometry, there is some discontinuity, but MUCH less than
> > > single-ended. If your lines are, in fact, differential, and
> > > if you wish me to elaborate, I will.
> >
> > Mike,
> >
> > Yes, differential. However, we're using edge-coupled pairs, and it's my
> > understanding, though I've done no analysis, that about 10% -
> > as much coupling as you can get between edge-coupled lines.
> Thus, there is
> > still a strong coupling between the trace and it's reference place.
> > Therefore, I suspect that there's non-ignorable amount of
> return current in
> > the reference planes. I'd be interested to see a
> > return-current-distribution plot for a diff pair both in the reference
> > planes and the coupled traces.
>
> I don't think so. Sure, there's a fair bit of capacitive current between
> each trace and the adjacent plane, but since they're equal and opposite
> the loop is very small and entirely lateral. Cross a plane boundary and
> there's no need for any current across the break.
>
> --
> D. C. Sessions
> [email protected]
>
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