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A Complete Multimode Equivalent-Circuit Theory for Electrical Design
Published
Author(s)
Dylan F. Williams, L. A. Hayden, Roger Marks
Abstract
This work presents a complete equivalent-circuit theory for lossy multimode transmission lines. Its voltages and currents are based on general linear combinations of standard normalized modal voltages and currents. The theory includes new expressions for transmission line impedance matrices, symmetry and lossless conditions, source representations, and the thermal noise of passive multiports.
Williams, D.
, Hayden, L.
and Marks, R.
(1999),
A Complete Multimode Equivalent-Circuit Theory for Electrical Design, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=30244
(Accessed October 11, 2025)