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EEE445_Lectr05

# EEE445_Lectr05 - 2.4 The Smith Chart The Smith Chart is a...

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2.4 The Smith Chart The Smith Chart is a very handy tool for working with impedances on a transmission line. It is so intuitive and useful that modern measurement equipment and simulation software still allow us to display data in the form of a Smith Chart. Smith chart is a mapping between impedances described in terms of impedance coordinates and reflection coefficient coordinates. Eq. (2.55ab) and (2.56 ab) are skipped EEE 591/445 Lecture 05 1

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In Smith chart, impedance, admittance, distance are normalized. Clockwise, toward generator. Count clockwise, toward load. EEE 591/445 Lecture 05 2 0 1 1 1 1 1 1 j L L j L j L L z e z e z e Z z r jx Z θ - Γ= =Γ + = = -Γ -Γ = = + (2.53) (2.54)
Know the rules for ‘movement’ on the Smith Chart. Recognize that chart can be used for admittance as well as impedance coordinates, and sometimes for both simultaneously. Constant real is on circle. Constant imaginary is on the arc of circle. Constant SWRs are concentric circles. Complex values at the two ends of SWR circle diameter are reciprocal, y=1/z Every half wavelength, the Smith chart repeats. EEE 591/445

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EEE445_Lectr05 - 2.4 The Smith Chart The Smith Chart is a...

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