The mathematics of transmission lines, and certain other devices, becomes cumbersome at times, especially when dealing with complex impedances and "nonstandard" situations. In 1939, Philip H. Smith published a graphical device for solving these problems, followed in 1945 by an improved version of the chart. That graphic aid. somewhat modified over time, is still in constant use in microwave electronics and other fields where complex impedances and transmission line problems are found. The Smith chart is indeed a powerful tool for the RF designer.
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