Hi, Another factor often forgotten and giving much bandwidth reduction of FR4 is the Temperature effeect of Tand and Er. This will give rise closed "eye" and errors. A good reason why many highspeed vendors are trying to move away from its use. -- Regards, __________ James G Roberts /___ ____ | jrobert@xxxxxxxxxxxxxxxxxxxxx Jim __ / /___/ / jgroberts@xxxxxxxxxx / /_/ /---| | Room: BE436, Hilversum \____/ /_/ Tel: +31 35 687 4308 Fax: 5976 Scott McMorrow wrote: > Jeff, > > I used the term "non-linear" in a very imprecise fashion. A was > replying to someone who believed that Er for Fr4 could be considered as > a constant. I should have said that Fr4 has a non-constant and > non-intuitive Er that is a function of frequency. > > regards, > > scott > > oyer, Jeff wrote: > > >Thanks for doing posting your summary, Matt! A brief synopsis like this = > >is very valuable. It summarizes what we think we heard, and gives folks = > >a chance to clarify misunderstandings. > > > >It was interesting that you wondered about the statement that FR4 is = > >non-linear. I also would like to hear some clarification there = > >(especially about it being extremely non-linear, which the original = > >posting said). Folks have already clarified that T-lines on FR4 must be = > >reciprocal (I.E., S21 equal to S12); it seems that it would also be = > >linear. If not, for TDR and VNA measurements, wouldn't we have to apply = > >the same voltage that was actually being driven into the system to = > >properly characterize it? I.E., a non-linear system would have = > >different S-parameters for a 1V pulse or sine wave than it would a 0.5V = > >pulse or sine wave. > > > >Or am I missing something? > > > >Jeff Loyer > > > > > >-----Original Message----- > >From: Matthew Herndon [mailto:mherndon@xxxxxxxxx] > >Sent: Friday, January 10, 2003 2:26 PM > >To: 'si-list@xxxxxxxxxxxxx' > >Subject: [SI-LIST] Re: (no subject) > > > > > > > >Hi, everyone - > > > >I really enjoyed the recent thread with subject "(no subject)" (it was=20 > >about using s-parameters in SPICE-like simulators and about dispersion=20 > >and loss). So I wrote a summary for my own notes. It occurred to me=20 > >that others on the list might find the summary useful, so I've included=20 > >a shortened version of it below. If anyone wants the full version,=20 > >contact me offline. If more than, say, 10 people request it, I'll post=20 > >it to the list. > > > >Thanks to everyone who participated in this very interesting and=20 > >informative discussion! > > > >Happy reading! > > > >-matt > >Matthew K Herndon, PhD > >ECAD Group > >Apple Computer, Inc. > >Cupertino, CA. > > > > > >The original question was submitted by Mick Zhou of Agere on Dec 6,2002=20 > >[1]: > > > > Has "anybody successfully generate broadband (DC-20GHz) SPICE model > > from S matrix for complex structures using the SPICE generator in > > ADS?" > > > >Responses indicated that the following additional simulators have this > >capability; there was various discussion of accuracy, speed, ease of > >use, bugs, etc: > > > > Fullwave SPICE (Ansoft) > > IConnect (TDA Systems) > > Nspice (Apache) > > Broadband Spice (Sigrity) > >=09 > >At this point, we split into two sub-threads: generating SPICE models > >without frequency-dependent lookup tables, and the relationship between > >dispersion and loss. > > > >Spice models without frequency-dependent sources: > >=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= > >=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D > > > >In theory, one can create such models. In practice, one needs to > >overcome a few difficulties, especially for broadband simulation and for > >long lines: it is hard to model dispersion accurately [6]. > > > >There are two approaches to simulating S-parameters in SPICE-like > >simulators (the following quotes and summarizes [26]): > >(1) Convert S-parameters to certain forms, either equivalent circuit > >representations or certain table lookup format, from which SPICE engines > >can read and run. > >(2) Enable a SPICE solver to read S parameters directly. The SPICE > >solver will then internally do the things in (1), or do convolution > >directly which can be quite demanding for computer resources for large > >number of such circuit components. Often the original S-parameters or > >the circuit model representing them may not be stable, causal, and > >passive. Also, extrapolation of the S-parameter data to DC is often a > >problem and separate DC values may be needed. > > > >The equivalent circuit (using lumped elements, usually RLC) > >approach does work well in some situations; and converges for the same > >reason that the Fourier transform converges [8] (Note: I would like to > >know more about this analogy). We don't have to know anything about > >the dielectric properties other than what is implicitly contained in the > >measurements. The only assumption is a linear, time-invariant system > > > >It takes a lot of lumped elements to (perfectly) match the measured > >s-parameters. One calculation came up with 400K elements. So "curve > >fitting" approximations are used. Questions then arise about how many > >elements are needed. Apparently, 40 is a "typcial" number in some=20 > >cases. Clearly it > >depends on the complexity of the shape of the S-parameters curve. And if > >you happen to drive the circuit at frequencies where the curve-fit is > >poor, you can get erroneous results (imagine a single sinusoid at a > >point where the curves are far apart). > > > >Dispersion and loss > >=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D > > > >Dispersion means that the velocity of spectral components of a signal > >depend on frequency, effectively scattering or "dispersing" the arrival > >times of the signal wavefront. This effect is not the same as loss, > >either skin effect or dielectric loss. Dispersion happens when Er varies > >with frequency (so therefore velocity varies with frequency), as in a > >prism. > > > >However, if dispersion is caused by the dielectric material (the most > >common situation in SI), there must also be loss; the Kramers-Kronig > >relationship (aka causality) states that the real and imaginary parts of > >the dielectric constant are related to each other [15]. So in this > >sense, you can say that if a MEDIUM is "dispersive" it must also be > >"lossy". > > > >[40] FR4 is non-linear (?), non-uniform and has significant changes in > >Er across frequency (e.g., 4.2 to 4.0 over the range 0.5 to 5 GHz). Real > >air exhibits some change in Er with frequency due to humidity; pure > >(dry?) air does have a flat response and extremely low losses. Likewise > >some other materials, e.g., Rogers and some PTFE (teflon) and ceramic > >materials. > > > >Dispersion will (always?) occur if the medium non-homogeneous, e.g., > >microstrip. > > > > > >SI-list postings quoted directly: > > > >[6] From: Yu Liu <yu_liu@xxxxxxxxxxxxx> > > Date: Fri Dec 6, 2002 9:31:32 PM US/Pacific=09 > >[8] From: Steve Corey <steven.corey@xxxxxxxxxxxxxx> > > Date: Mon Dec 9, 2002 11:05:10 AM US/Pacific > >[15] From: Steve Corey <steven.corey@xxxxxxxxxxxxxx> > > Date: Mon Dec 9, 2002 4:44:28 PM US/Pacific > >[26] From: Raj Raghuram <raghu@xxxxxxxxxxx> > > Date: Tue Dec 10, 2002 3:20:06 PM US/Pacific=09 > >[40] From: Scott McMorrow <scott@xxxxxxxxxxxxx> > > Date: Wed Dec 11, 2002 10:45:28 AM US/Pacific > > > > > > > > > > > > > > > > > > > > > > > >On Friday, December 6, 2002, at 11:42 AM, Zhou, Xingling (Mick) wrote: > > > > > > > >>Hello, > >> > >>Did anybody successfully generate broadband (DC-20GHz) SPICE model=20 > >>from S > >>matrix for complex structures using the SPICE generator in ADS ? Or = > >> > >> > >any > > > > > >>other alternatives. I know Ansoft fullwave SPICE does the work. > >>Unfortunately, some circuit simulators do not support the frequency > >>dependent lookup table sources. We can definitely use [S] directly,=20 > >>but some > >>users still prefer SPICE models. Any experience to share ? > >> > >>Thanks, > >> > >>Xingling(Mick) Zhou, PhD > >>Signal Integrity Technologist > >>Agere Systems > >> > >>Tel: 610-712-7462 > >>Fax: 610-712-4081 > >> > >>------------------------------------------------------------------ > >>To unsubscribe from si-list: > >>si-list-request@xxxxxxxxxxxxx with 'unsubscribe' in the Subject field > >> > >>or to administer your membership from a web page, go to: > >>//www.freelists.org/webpage/si-list > >> > >>For help: > >>si-list-request@xxxxxxxxxxxxx with 'help' in the Subject field > >> > >>List archives are viewable at: > >> //www.freelists.org/archives/si-list > >>or at our remote archives: > >> http://groups.yahoo.com/group/si-list/messages > >>Old (prior to June 6, 2001) list archives are viewable at: > >> http://www.qsl.net/wb6tpu > >> > >> > >> > >> > > > >------------------------------------------------------------------ > >To unsubscribe from si-list: > >si-list-request@xxxxxxxxxxxxx with 'unsubscribe' in the Subject field > > > >or to administer your membership from a web page, go to: > >//www.freelists.org/webpage/si-list > > > >For help: > >si-list-request@xxxxxxxxxxxxx with 'help' in the Subject field > > > >List archives are viewable at: =20 > > //www.freelists.org/archives/si-list > >or at our remote archives: > > http://groups.yahoo.com/group/si-list/messages=20 > >Old (prior to June 6, 2001) list archives are viewable at: > > http://www.qsl.net/wb6tpu > > =20 > >------------------------------------------------------------------ > >To unsubscribe from si-list: > >si-list-request@xxxxxxxxxxxxx with 'unsubscribe' in the Subject field > > > >or to administer your membership from a web page, go to: > >//www.freelists.org/webpage/si-list > > > >For help: > >si-list-request@xxxxxxxxxxxxx with 'help' in the Subject field > > > >List archives are viewable at: > > //www.freelists.org/archives/si-list > >or at our remote archives: > > http://groups.yahoo.com/group/si-list/messages > >Old (prior to June 6, 2001) list archives are viewable at: > > http://www.qsl.net/wb6tpu > > > > > > > > > > -- > Scott McMorrow > Teraspeed Consulting Group LLC > 2926 SE Yamhill St. > Portland, OR 97214 > (503) 239-5536 > http://www.teraspeed.com > > ------------------------------------------------------------------ > To unsubscribe from si-list: > si-list-request@xxxxxxxxxxxxx with 'unsubscribe' in the Subject field > > or to administer your membership from a web page, go to: > //www.freelists.org/webpage/si-list > > For help: > si-list-request@xxxxxxxxxxxxx with 'help' in the Subject field > > List archives are viewable at: > //www.freelists.org/archives/si-list > or at our remote archives: > http://groups.yahoo.com/group/si-list/messages > Old (prior to June 6, 2001) list archives are viewable at: > http://www.qsl.net/wb6tpu > ------------------------------------------------------------------ To unsubscribe from si-list: si-list-request@xxxxxxxxxxxxx with 'unsubscribe' in the Subject field or to administer your membership from a web page, go to: //www.freelists.org/webpage/si-list For help: si-list-request@xxxxxxxxxxxxx with 'help' in the Subject field List archives are viewable at: //www.freelists.org/archives/si-list or at our remote archives: http://groups.yahoo.com/group/si-list/messages Old (prior to June 6, 2001) list archives are viewable at: http://www.qsl.net/wb6tpu