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The Smith chart may also be used for lumped-element matching and analysis problems. Use of the Smith chart and the interpretation of the results obtained using it requires a good understanding of AC circuit theory and transmission-line theory, both of which are prerequisites for RF engineers.
Phillip Hagar Smith (April 29, 1905 – August 29, 1987) was an American electrical engineer, who became famous for his invention of the Smith chart.. Smith was born in Lexington, Massachusetts in 1905, and graduated from Tufts College in 1928 with a BS degree in electrical engineering.
About 1/8 wavelength long: (left) 200 MHz stub is 19 cm, (right) 300 MHz stub is 12.5 cm 10 kW FM broadcast transmitter from 1947 showing quarter-wave resonant stub plate tank circuit. In microwave and radio-frequency engineering, a stub or resonant stub is a length of transmission line or waveguide that is connected at one end only. The free ...
Electrical length is widely used with a graphical aid called the Smith chart to solve transmission line calculations. A Smith chart has a scale around the circumference of the circular chart graduated in wavelengths and degrees, which represents the electrical length of the transmission line from the point of measurement to the source or load.
Looking towards a load through a length of lossless transmission line, the impedance changes as increases, following the blue circle on this impedance Smith chart. (This impedance is characterized by its reflection coefficient , which is the reflected voltage divided by the incident voltage.)
Smith diagram or Smith diagramme may refer to: Smith chart , a diagram by American electrical engineer Phillip Hagar Smith, used in electrical engineering Smith fatigue strength diagram [ de ] , a diagram by British mechanical engineer James Henry Smith [ de ] , used in mechanical engineering
L networks for narrowband matching a source or load impedance Z to a transmission line with characteristic impedance Z 0. X and B may each be either positive (inductor) or negative (capacitor). If Z/Z 0 is inside the 1+jx circle on the Smith chart (i.e. if Re(Z/Z 0)>1), network (a) can be used; otherwise network (b) can be used. [2]
In the mathematical field of graph theory, a Smith graph is either of two kinds of graph. It is a graph whose adjacency matrix has largest eigenvalue at most 2, [ 1 ] or has spectral radius 2 [ 2 ] or at most 2. [ 3 ]