[SI-LIST] Re: Even mode, common mode, and mode conversion

Actually, orthogonality of the eigenvectors is not necessary.  Linear 
independence is sufficient.

   -- Steve

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

email: steve@xxxxxxxxxxxxxx
phone: (503) 246-2272
fax:   (503) 246-2282
-------------------------------------------


Chris Cheng wrote:

> Classical definition of TEM mode propagation in an N 
> line coupled transmission line requires waveforms
> to be propagating in N orthogonal eigen-vectors
> (instead of individual waveforms at each port).
> It just happen in a two line transmission line case
> the vectors are [1,1] and [1,-1] ejwt and sometimes
> people refer the pair as even and odd respectively.
> 
> In current generic SI terms, it is sometimes
> refered to a coupled N line transmission line system
> where the victim is switching in the same direction
> (even mode) as the aggressor or the opposite direction
> (odd mode). Note, depends on the setup, sometimes the
> waveform in the aggressor ports becomes meaningless
> to simplify the analysis time.
> 
> Chris
> 
> -----Original Message-----
> From: Doug Brooks [mailto:doug@xxxxxxxxxx]
> Sent: Monday, February 25, 2002 9:31 AM
> To: si-list@xxxxxxxxxxxxx
> Subject: [SI-LIST] Even mode, common mode, and mode conversion
> 
> 
> 
> Gurus,
> 
> I've been following the thread on mode conversion and suspect I am not the 
> only one with this question. Can someone explain, in layman's terms:
> 
> The distinction between even mode and common mode?
>         between odd mode and differential MODE (not to be confused with 
> differential traces)
> 
> And does the existence of differential traces add any complications to 
> these distinctions?
> 
> Thanks for bringing the dummies along with you!
> 
> Doug Brooks
> 
> 
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