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# Analysis of Lossy Coupled Transmission Lines

IP.com Disclosure Number: IPCOM000087006D
Original Publication Date: 1976-Nov-01
Included in the Prior Art Database: 2005-Mar-03
Document File: 2 page(s) / 41K

IBM

## Related People

Miersch, EF: AUTHOR [+2]

## Abstract

Computer-aided design models for transmission lines are fundamental implements for the analysis of digital systems. A solution for lossless transmission lines is provided and discussed by C. Ho in the publication "Theory and Computer Aided Analysis of Lossless Transmission Lines", IBM Journal of Research and Development, May 1973, Vol. 17, p. 249. Discussed below is a solution for lossy transmission lines which is based on a lumped circuit representation together with a simplified equivalent circuit. The geometry is described by appropriate inductances and resistances, shown in the figures, to form a complex equivalent circuit which accurately represents the actual geometry. The equivalent circuit is based on an integral equation description of the geometry which is discussed in the publication by A.

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Analysis of Lossy Coupled Transmission Lines

Computer-aided design models for transmission lines are fundamental implements for the analysis of digital systems. A solution for lossless transmission lines is provided and discussed by
C. Ho in the publication "Theory and Computer Aided Analysis of Lossless Transmission Lines", IBM Journal of Research and Development, May 1973, Vol. 17, p. 249. Discussed below is a solution for lossy transmission lines which is based on a lumped circuit representation together with a simplified equivalent circuit.

The geometry is described by appropriate inductances and resistances, shown in the figures, to form a complex equivalent circuit which accurately represents the actual geometry. The equivalent circuit is based on an integral equation description of the geometry which is discussed in the publication by A. Ruehli "Equivalent Circuits for Three Dimensional Multiconductor Systems", IEEE Trans. on MTT, Vol. MTT-22, March 1974, p. 216.

After the equivalent circuit is obtained, a frequency analysis is performed with a known algorithm ASTAP (W.T. Weeks et al, "Algorithms for ASTAP-A Network Analysis Program", IEEE Trans. Circuit Theory, Vol. CT-20, Nov. 1973 pp. 628- 634) to find the frequency dependent inductance L(omega) and resistance R (Omega). The curves are matched with a simplifying equivalent circuit containing only a few elements. This is a significant step because the first accurate equivalent circuit which may have seve...