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The Smith chart (sometimes also called Smith diagram, Mizuhashi chart (水橋チャート), Mizuhashi–Smith chart (水橋スミスチャート), [1] [2] [3] Volpert–Smith chart (Диаграмма Вольперта—Смита) [4] [5] or Mizuhashi–Volpert–Smith chart), is a graphical calculator or nomogram designed for electrical and electronics engineers specializing in radio ...
The Smith chart, used by electrical engineers for analyzing transmission lines, is a visual depiction of the elliptic Möbius transformation Γ = (z − 1)/(z + 1). Each point on the Smith chart simultaneously represents both a value of z (bottom left), and the corresponding value of Γ (bottom right), for |Γ |<1.
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. While working for Bell Telephone Laboratories, [1] he ...
Scattering parameters or S-parameters (the elements of a scattering matrix or S-matrix) describe the electrical behavior of linear electrical networks when undergoing various steady state stimuli by electrical signals. The parameters are useful for several branches of electrical engineering, including electronics, communication systems design ...
Quarter-wave transformers are illustrated in an impedance Smith chart. Looking towards a load through a length l of lossless transmission line, the normalized impedance changes as l increases, following the blue circle. At l=λ/4, the normalized impedance is reflected about the centre of the chart.
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] A simple electrical impedance-matching network requires one capacitor and one inductor. In the figure to the right, R 1 > R 2, however, either R 1 or R 2 may be the source and the other the load.
Smith graph. 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] The graphs with spectral radius 2 form two infinite families and three sporadic examples; if we ask for spectral radius ...
Transmission line. Schematic of a wave moving rightward down a lossless two-wire transmission line. Black dots represent electrons, and the arrows show the electric field. One of the most common types of transmission line, coaxial cable. In electrical engineering, a transmission line is a specialized cable or other structure designed to conduct ...