[SI-LIST] Propagation constants of lossy coupled transmission lines

  • From: "Sobrany RF Mr (PG - Electronic Eng)" <R.Sobrany@xxxxxxxxxxxx>
  • To: si-list <si-list@xxxxxxxxxxxxx>
  • Date: Thu, 2 Sep 2004 15:30:46 +0100

Formulae to calculate the propagation constants of two lossless coupled 
transmission lines in terms of the self and mutual inductances and capacitances 
per unit length can be found in the paper by Tripathi in the February 1977 
edition of IEEE Trans. on Microwave Theory and Techniques.
Replacing L by R+jwL and C by G+jwC results in formulae to calculate the 
propagation constants of two lossy coupled transmission lines. For single ended 
transmission lines where gamma=sqrt((R+jwL)(G+jwC)) an approximation of the 
attenuation constant can be calculated using Taylor series and this procedure 
is detailed in Pozar. Has anyone calculated approximations for the attenuation 
constants for both the c and pi modes of two lossy coupled transmission lines 
using Taylor series? The math is horrendously difficult and I can't seem to 
separate out the phase constant component from inside the square root.

I hope somebody can help me.

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