smith charts, tlines

smith charts, tlines - 0.13j 2.7j-0.5j=2.2j 2.2j...

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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
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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
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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
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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
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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
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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
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Unformatted text preview: 0.13j 2.7j-0.5j=2.2j 2.2j Distributed Element Matching Open circuited series stub Short circuited series stub Open circuited shunt stub Short circuited shunt stub Distributed Element Matching Wavelengths toward generator Wavelengths toward load 1/8 1/16 3/16 5/16 3/8 7/16 Distributed Element Matching Finding Line lengths Wavelengths toward generator Wavelengths toward load 1/8 1/16 3/16 5/16 3/8 7/16 0.45 -0.17 = 0. 28 0.28 0.28 The stub must provide the appropriate reactance. 0.45 -0.25 = 0. 2 0.2 0.45 Short circuit stub Open circuit stub Choosing one method over another Frequency Lumped elements must be small compared to wavelength Space constraints Method Microstrip is amenable to shunt stubs, but not series stubs Double stub tuner Microstrip stubs http://individual.utoronto.ca/georgas/amplifier_microstrip.JPG The Double Smith Chart Z L R g V g Z L R g V g Z L R g V g Z L R g V g...
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smith charts, tlines - 0.13j 2.7j-0.5j=2.2j 2.2j...

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