04 SmithChartNotes - Part I - Basic Concepts: Transmission...

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1 Transmission Line Resonators TL 1.2 Circuit Elements Reflection Coefficient Standing Wave Ratio Input Impedance Fundamentals Lumped Element Model Transmission Line Equation TL 1.1 TL 1.1.1 TL 1.1.2 TL 1.1.3 TL 1.1.4 TL 1.1.5 Wave Solutions TL 1.1.2(a) Part I - Basic Concepts: Transmission Line Analysis Smith Chart Transmission Line Problems: Graphical Visualization TL 1.1.6 Complex Γ -plane T o w a rd G e n ra to r () A A A A β 2 0 j j o j o e e V e V + Γ = = Γ A θ 2 = Reflection Coefficient Transformation o L o L Z Z Z Z + = Γ jX R Z L + = Complex Load Reflection Coefficient j e Γ = Γ Polar form ° ° 360 0 ° ° 360 0 1 > Γ ) (any value , 0 X R = 1 = Γ ° ° 360 0 1 0 < Γ ) (any value , (positive) 0 X R > ) (any value , (negative) 0 X R < Smith Chart TL 1.1.6 Lossless Transmission Line Toward Generator Γ (0) Γ ( l ) Find Know
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2 Complex Γ -plane Γ r Γ i Lossless Transmission Line o L o L Z Z Z Z + = Γ Γ Γ + = 1 1 o L Z Z L L o o L L jx r Z jX R Z Z z + = + = = jX R Z L + = Γ Γ + = 1 1 L z i r j Γ + Γ = Γ () i r i r L L j j jx r Γ
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This note was uploaded on 12/19/2009 for the course ELECTRONIC elm 421 taught by Professor Arifergin during the Fall '09 term at Gebze Institute of Technology.

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04 SmithChartNotes - Part I - Basic Concepts: Transmission...

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