[SI-LIST] Re: Single ended s-parameters of a differential mircost rip line

  • From: "Mike Heimlich" <mike@xxxxxxxxxxx>
  • To: <Dan.Piscotty@xxxxxxxxxx>, <pritchard_jason@xxxxxxx>, "Loyer, Jeff" <jeff.loyer@xxxxxxxxx>, "SI List" <si-list@xxxxxxxxxxxxx>
  • Date: Wed, 16 Nov 2005 09:25:07 -0800

Jason:

It is difficult to calculate these values a priori because the
microstrip line configuration is propagating mostly, but not totally, as
a TEM wave.  It is the "mostly" part that is the problem, so if you need
more exact answers than you can find by the standards or hand-calculated
approximations, there are a lot of good software packages out there that
contain analytical models for microstrip or (for more exact answers)
planar EM solvers.

MikeH=20

-----Original Message-----
From: si-list-bounce@xxxxxxxxxxxxx [mailto:si-list-bounce@xxxxxxxxxxxxx]
On Behalf Of Dan Piscotty
Sent: Tuesday, November 15, 2005 1:07 PM
To: pritchard_jason@xxxxxxx; 'Loyer, Jeff'; SI List
Subject: [SI-LIST] Re: Single ended s-parameters of a differential
mircost rip line

Jason,

What you need to take into consideration is the difference in mode phase
velocities of your signal.  Recall, you will have two modes for your
signal, even and odd for a microstrip.  Each of these modes will have
their own separate velocity as they propagate in different mediums;  air
and dielectric.  It's the difference in these mode velocities (really
the
delays) that determines the electrical length and therefore the midband
of your coupler. =20

We, here at Samtec, have written a paper that deals with this specific
topic and it's called "The Golden Standard".  You will find this paper
along with simulated and measured data to support the theory on our
website:
www.samtec.com.

Hope this helps,
Dan

-----Original Message-----
From: si-list-bounce@xxxxxxxxxxxxx [mailto:si-list-bounce@xxxxxxxxxxxxx]
On Behalf Of pritchard, jason
Sent: Tuesday, November 15, 2005 12:34 PM
To: 'Loyer, Jeff'; SI List
Subject: [SI-LIST] Re: Single ended s-parameters of a differential
mircost rip line

Hi Jeff,

I had looked at Pozar...=20

My confusion is that at 5.94 GHz the line is many many quarter
wavelengths long. I don't see why 5.94 GHz ends up being the frequency
it resonates at.

Any thoughts?

-Jason







-----Original Message-----
From: Loyer, Jeff [mailto:jeff.loyer@xxxxxxxxx]
Sent: Tuesday, November 15, 2005 10:19 AM
To: pritchard_jason@xxxxxxx; SI List
Subject: RE: [SI-LIST] Single ended s-parameters of a differential
mircostrip line

The best reference I know of for analyzing this phenomena is Pozar's
"Microwave Engineering", pages 389 ("coupled line couplers") & 475
("coupled line filters").

Jeff Loyer

-----Original Message-----
From: si-list-bounce@xxxxxxxxxxxxx [mailto:si-list-bounce@xxxxxxxxxxxxx]
On Behalf Of pritchard, jason
Sent: Tuesday, November 15, 2005 6:50 AM
To: SI List
Subject: [SI-LIST] Single ended s-parameters of a differential
mircostrip line

Hi All,

I have a Differential Microstrip line with the parameters below.=20

If you were to look at the Single ended s-parameters for a 12 inch line
you will see it resonate at 5.94 GHz and 11.9 Ghz for a 6 inch line
etc....

Given these parameters how do you calculate the point at which the
single ended s-parameters will resonate? I know it's a function of the
length and the coupling to the other line because you don't see this
effect with a single trace. I just don't know the mathematical
relationship.

Thanks,
Jason

* Units are per inch
+Co =3D=20
+    2.539e-12=20
+   -2.498e-13 2.539e-12
+Lo =3D=20
+   8.362e-09=20
+   1.227e-09 8.362e-09
+Gd =3D=20
+    3.173e-13=20
+   -2.341e-14 3.173e-13
+Ro =3D=20
+   7.145e-02=20
+   0.000e+00 7.145e-02
+Rs =3D=20
+   3.196e-05=20
+   1.365e-06 3.196e-05




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