[SI-LIST] Re: off-diagonal resistance and conductance elements

  • From: Steve Corey <steven.corey@xxxxxxxxxxxxxx>
  • To: si-list@xxxxxxxxxxxxx
  • Date: Wed, 19 Feb 2003 10:21:11 -0800

Hi Pat -- regarding transmission line references, I would suggest the 
one that I always suggest on this list, "Analysis of Multiconductor 
Transmission Lines" by Clayton R. Paul.  Among other things, it has a 
100+ page chapter devoted to the per-unit-length parameters, including 
the physical meanings of R,L,G,C, both diagonal and off-diagonal elements.

The above reference also gives the definition of the capacitance matrix, 
which if I'm understanding your usage, is the same as what you are 
calling the electrostatic induction matrix.  A matrix whose diagonals 
contain only the capacitance of the conductor to the reference conductor 
is *a* capacitance matrix, but it is not *the* capacitance matrix.

In lieu of launching into an explanation, I would point you to the text 
given above, or probably any other transmission line theory text. 
They're certainly more authoritative than the various user manuals.  Or, 
if memory serves, Eric Bogatin wrote up a short piece a couple of years 
ago dedicated to the capacitance matrix and common misconceptions 
surrounding it.  With any luck, it should be available from the Gigatest 
web site.

   -- Steve

-------------------------------------------
Steven D. Corey, Ph.D.
Time Domain Analysis Systems, Inc.
"The Interconnect Modeling Company."
http://www.tdasystems.com

email: steven.corey@xxxxxxxxxxxxxx
phone: (503) 246-2272
fax:   (503) 246-2282
-------------------------------------------



Zabinski, Patrick J. wrote:

> No; I don't have anything with a lot of depth.
> 
> If you look through the W-element section of the
> Hspice manual, they discuss a bit, but they call it
> the "C" matrix (not "B").  I believe the Ansoft manuals
> describe it a bit as well.
> 
> Anyone else have a good reference?
> 
> 
>>I haven't heard of this B-matrix before.  Do you have any references?
>>
> 
> 
> Pat
> 
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