smith charts, tlines

# smith charts, tlines - Smith Charts and Matching Networks...

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Smith Charts and Matching Networks Riki Banerjee 02/02/08

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Smith Chart, Z=R+jX 0.2 0.5 1.0 2.0 5.0 -0.2j 0.2j -0.5j 0.5j -1.0j 1.0j -2.0j 2.0j -5.0j 5.0j

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Polar Plot of the Reflection Coefficient
The Real and Imaginary Axes 0.2 0.5 1.0 2.0 5.0

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Circles of constant Resistance, R 0.2 0.5 1.0 2.0 5.0
Curves of constant Reactance, X 0.2 0.5 1.0 2.0 5.0 -0.2j 0.2j -0.5j 0.5j -1.0j 1.0j -2.0j 2.0j -5.0j 5.0j X>0, X=j ϖ L Top half is INDUCTIVE. X>0, X=-j/ ϖ C Bottom half is CAPACITIVE.

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Example: Traveling a Straight T-Line Wavelengths toward generator Wavelengths toward load 0 λ ¼ λ 1/8 λ 1/16 λ 3/16 λ 5/16 λ 3/8 λ 7/16 λ Z L R g V g
Wavelengths toward generator Wavelengths toward load 0 λ ¼ λ 1/8 λ 1/16 λ 3/16 λ 5/16 λ 3/8 λ 7/16 λ

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The admittance chart, Y=G+jB 0.2 0.5 1.0 2.0 5.0 -0.2j 0.2j -0.5j 0.5j -1.0j 1.0j -2.0j 2.0j -5.0j 5.0j
The Double Smith Chart

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Matching Different Matching methods Lumped Elements – Using inductors and capacitors Distributed Elements – Using transmission lines Quarter Wave Transformer Z L R g V g Matching Network
Lumped Element Matching Shunt L Shunt C Series L Series C Important: Only draw on constant R and G circles.

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Lumped Element Matching – Finding the values 0.48j-0.35j=0.13j 0.13j 2.7j-0.5j=2.2j 2.2j
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