Hi Ty, Logan, as Steve already pointed out, there is a reason, why people use 2D simulation programs to predict impedance as "accurately" as possible instead of closed loop equations. The equations are typically ok for a very limited range of the independent variables (like dielectric thickness, Dk,...). So if you try to use them, make sure to check for what ranges they are valid. In general, I would not use the closed loop equations for anything else as a first indication or to find out how sensitive impedance is to a given change in an independent variable. Instead, we use a 2D field solver to extract impedance out of the geometrical sizes and the Dk and Df values for the dielectrics. However, since these field solvers can be expensive, let me point you to two free solvers, that are quite ok regarding accuracy. The first (http://mdtlc.sf.net) is pretty simple. Can handle trapezoid shaped lines two dielectrics with different Dk. However, dissipation factor is not used. The second one (http://mmtl.sourceforge.net/) is really nice. You can have basically arbitrary stackups with many dielectrics. Also gives much more parameters, like C, L and R-matrix. Unfortunately, it disregards loss tangent values (though you can type them in) and it's also not looking at frequency. It's also not calculating total loss.But beside that, it looks really good. Best luck, alex __________________________________________________________________ Alexander Ippich Sr. Signal Integrity Engineer Multek Germany Multilayer Technology GmbH & Co. KG Herrenberger Strasse 110 71034 Boeblingen - Germany Phone +49 7031 211 3375 Fax +49 7031 211 5309 VoIP 6666 310 3375# (internal use only) Email alexander.ippich@xxxxxxxxxxxxx Pers. haftender Gesellschafter: Multilayer Technology Geschäftsführungs GmbH, Geschäftsführer: Werner Widmann Sitz der Gesellschaft: Böblingen, Amtsgericht Böblingen HRA242264, http://www.multek.com Creating value that increases customer competitiveness -----Original Message----- From: si-list-bounce@xxxxxxxxxxxxx [mailto:si-list-bounce@xxxxxxxxxxxxx] On Behalf Of Ty Beeman Sent: Thursday, July 16, 2009 4:26 PM To: si-list@xxxxxxxxxxxxx Subject: [SI-LIST] Buried Microstrips Hello, As part of a class project, we have been given the assignment of using closed loop equations to "accurately" predict the characteristic impedance, etc. of microstrips. To solve for surface microstrips, we have used the equations from: E. Hammerstad and O. Jensen, "Accurate models for microstrip computer-aided design." These equations give us results that are very close to field solvers. However we're kind of stuck in getting accurate results for a buried microstrip. We are using the equations found in: Brian C. Wadell, "Transmission Line Design Handbook." When we use the surface microstrip equations above to solve for Z-buried we can get close, end up with some errors as much as 4% and off by as much as 3 ohms or more.. If we use the Wadell equation for surface microstrip to solve for Z-buried, our error is around 5% when comparing to field solvers. Looking at it a little closer, we find that our calculated effective er is different than that given by the field solvers. All we can seem to find in the reference materials is the same (or similar) calculation that is in Wadell's book or old IPC equations. So our questions are: 1. Are there any other equations for buried microstrips that others have found to be more accurate, especially for effective er and impedance? 2. Can anyone recommend any other reference material on buried microstrips? Are there any good IEEE papers on the subject? We know we may have to settle for what we have now, given the reference material, but we're hoping there's something a little more accurate available. Thank you, Ty Beeman Logan Talada Students Tompkins-Cortland Community College ------------------------------------------------------------------ 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 technical documents are available at: http://www.si-list.net 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 Legal Disclaimer: The information contained in this message may be privileged and confidential. It is intended to be read only by the individual or entity to whom it is addressed or by their designee. 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