Thanks to everyone who sent me guiding information and advice, both off and online on this subject. They were all of great help to me. Charles Ivan Ndip <ndip@xxxxxxxxxxxxxxxxx> wrote: Hello Charles, I have been working on RF/microwave modeling and analysis of discontinuities in chip packages and boards for quite some time now, so I think I can share my experience with you. Most of the contributions made so far on microstrip discontinuities, especially by Silvester, Benedek, Itoh, Gopinath, Thompson etc. in the 1970s, centered around the calculation of discontinuity capacitance and inductance using quasi-static methods. So, concentrating only on these publications won't help you know how far away from the discontinuity the excited higher-order modes can go. However, Menzel, Mehran, Kompa and Wolf published quite a lot also in the 70's on the calculation of frequency-dependent properties of microstrip discontinuities. I suggest that you first of all go through these publications in order to fully well understand what happens in a discontinuity. (Dr. Ronald De Smedt already gave a very good explanation of the phenomenon). Secondly, you must also note that the number and characteristics of higher-order modes excited don't depend only on frequency (as you think) but also on the geometry of the discontinuity under consideration (don't expect a via and bend to excite same higher-order modes). However, since these modes are evanescent (this is mostly the case for discontinuities in chip packages and PCBs used for RF/high-speed applications), they attenuate rapidly from the discontinuity. (Note: use either Hoffmann's Handbook on MIC or Microstrip Lines and Slotlines by Gupta et al. to calculate the cut-off frequency in your case). To define the precise distance away from the discontinuity that these modes can go, you need a 3D full-wave solver (e.g., HFSS) to compute the field behavior in the vicinity of the discontinuity. I would suggest you excite only one mode (certainly the fundamental mode) and from the extracted S-parameters you can study the mode conversion that occurred. Repeat the experiment for different lengths of line interconnecting the wave port and the discontinuity. You'll realize that in the immediate vicinity of the discontinuity, the magnitude of the considered S-parameter (at a particular frequency), computed from the fundamental mode changes very rapidly. This can be attributed to the presence of the fields of higher-order modes which are still very strong. But with increasing distance away from the discontinuity, the magnitude of the S-parameter slowly converges to a particular value, because these fields vanish, leaving the fundamental mode unperturbed. The point away from the discontinuity where the magnitude of your S-parameter becomes constant or changes by less than a self-defined value (e.g., 5% or so) defines the end or insignificance of the higher-order modes. I call it the end of the "discontinuity effect". Certainly you have to take into consideration the S-parameters of the line used. But from my experience, the variation of the magnitude of S-parameters in the vicinity of the discontinuity is essentially due to the excited higher-order modes, especially when you consider S11. I'll be presenting a paper at the 35th European Microwave Conference (European Microwave Week - Oct. 3-7, 2005) in Paris entitled "Efficient RF/Microwave Modeling of Discontinuities in Chip Packages and Boards". I strongly recommend you also go through this paper, when available. Regards, Ivan Ndip Charles Harrington wrote: >Hello Mark, > >because Eric's book is so beautifully written, I've >gone through it almost twice already. However, it has >very little or nothing to do with my question. I also >went through Johnson's book (Advanced Black Magic), >Silvester and Benedek?s publications on discontinuties >and quite a lot of other electromagnetic texts. So, >it's not a question for beginners. >Jose recommended me Gupta's book (thanks Jose), which >I already read. Here, Wolf and Mehran's waveguide >model are used to analyze T-bends, Gap and other >discontinuities, but the questions on how far the >excited modes go away from the discontinuity and how >this depend on the frequency are not dealt with. >As far as I know, this subject has not being properly >dealt with yet. >So may the gurus recommend any other publications on >this subject or some advice. > >Thanks, >Charles > > > > > > > > -- *************************************************************************** Dipl.-Ing. Ivan Ndip Research Engineer Fraunhofer Institut für Zuverlässigkeit und Mikrointegration (FhG-IZM) Dept.: Advanced System Engineering (ASE) Gustav-Meyer-Allee 25 D-13355 Berlin Germany Phone: +49 (0) 30 46403 679 Fax: +49 (0) 30 46403 158 E-mail: ndip@xxxxxxxxxxxxxxxxx | Web: http://www.izm.fraunhofer.de ndip@xxxxxxxx *************************************************************************** Diese E-Mail kann Betriebs- und Geschäftsgeheimnisse, dem Anwaltsgeheimnis unterliegende oder sonstige vertrauliche Informationen enthalten. Sollten Sie diese E-Mail irrtümlich erhalten haben, ist Ihnen die Kenntnisnahme des Inhalts, eine Vervielfältigung oder Weitergabe der E-Mail ausdrücklich untersagt. Bitte benachrichtigen Sie den Absender der E-Mail und vernichten die empfangene E-Mail. Vielen Dank. Since this e-mail contains confidential information, it must be treated with utmost confidentiality. 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