期刊
IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS
卷 21, 期 6, 页码 286-288出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LMWC.2011.2132697
关键词
Active circuits; immittance; lossy circuits; reflection coefficient; Smith Chart; transmission lines
资金
- POSDRU European Project [7713]
- Ministerio de Ciencia e Innovacion, Spanish Government [TEC2010-21520-C04-01]
This letter proposes a spherical 3-D Smith Chart suitable for representing both active and passive microwave circuits. Using the mathematical concept of the Riemann sphere, the extended reflection coefficient plane is transformed into the surface of the unit sphere. Since the proposed Smith Chart compiles the whole complex plane, all possible loads are included. A simple graphic tool is thus obtained that successfully unifies active and passive circuits. In addition, lossy lines with complex characteristic impedances can also be represented. The letter presents the 3-D Smith Chart, provides its main governing equations, and also enumerates its more important properties.
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