[SI-LIST] Re: Quarter wavelength transmission lines

  • From: Rob Hinz <rob@xxxxxxxxxx>
  • To: richard2636@xxxxxxxxxx
  • Date: Wed, 14 Nov 2001 12:02:44 -0800

Hi Rich,

If I understand your question correctly, you do not need to be concerned if 
the line is properly terminated, that is, terminated in an impedance 
matching the characteristic impedance of the line. The "resonance" issue 
you are hearing about has to do with the physics of transmission lines. In 
the case of a quarter wave section connecting a driver to a load (or a stub 
off a bus), the driving point impedance will be the inverse of the 
normalized load impedance times the characteristic impedance of the line. 
If your load impedance is almost an open circuit, your driving point 
impedance will be almost zero. The impedance as a function of frequency for 
this system, operating near the quarter wave frequency of the section, will 
behave much like series RLC for an open circuit load and a parallel RLC for 
a short circuit at the load. Thus the often cited resonant circuit concept. 
While it is similar to a classical RLC tank circuit it is not exactly the 
same. The impedance function of a line section is periodic in frequency. 
The impedance function of a RLC tank circuit is not.

This transmission line effect is brought about by wave reflections on the 
line. For a quarter wavelength line terminated in an open circuit, the 
reflected voltage wave arrives back at the driving point 180 degrees out of 
phase because it has traversed the quarter wave section twice. This will be 
true for any odd multiple of a quarter wavelength terminated in an open 
circuit. Of course if you match the termination to the line, there is no 
reflection and no issue.

For signal integrity, you must carefully manage reflected waves. It is not 
just quarter wave sections (and their multiples) that are problematic, 
although they can be particularly bad. Any large, long delay reflection has 
the potential to create co-symbol or inter-symbol interference directly or 
indirectly through cross talk.

I would highly recommend looking at the transmission line section in any 
one of a number of basic texts on signal integrity, EM fields, or RF and 
microwave engineering. The fundamentals usually require a chapter or less 
and are not too difficult.

I hope I answered your question. Good luck!

Rob Hinz
Senior Electromagnetics Specialist
SiQual Corporation
rob@xxxxxxxxxx
phone (503)885-1231 x30
fax   (503)885-0550
http://www.siqual.com

At 10:38 AM 11/14/2001 -0800, richard hill wrote:

>Hi all,
>
>When laying out a high speed trace which is properly terminated
>is it necessary to keep in mind the quarter wavelength scenario.
>What exactly is the significance of the quarter wavelength transmission
>line.  I know it has something to do with a resonant
>circuit but do not understand it fully.  Any input will be very
>educational.
>
>Thanks,
>Rich
>
>
>
>
>
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Rob Hinz
Senior Electromagnetics Specialist
SiQual Corporation
rob@xxxxxxxxxx
phone (503)885-1231 x30
fax   (503)885-0550
http://www.siqual.com

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