Lecture 21-Waveguides

Lecture 21-Waveguides - Test#2 topics Reflection at normal...

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Test #2 topics Reflection at normal incidence Multiple interfaces Important cases with three media Designing layers for maximum or minimum reflection Impedance transformation: 0 2 1 0 2 1 r i E E η - Γ = = + ( 29 ( 29 ( 29 ( 29 ( 29 3 2 2 2 2 2 2 2 3 2 cos sin 0 cos sin d j d d j d β + = + Z 2 2 d λ = 2 2 2 d π λ π = = ( 29 2 3 0 = Z 2 4 d = 2 2 4 2 d = = ( 29 2 2 2 3 0 = Z

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Transmission lines : Parallel plate, coax, two wire Impedance transformation Same equation as before Voltages, currents and the fields inside transmission lines Reflections are governed by the same equations as for waves at normal incidence Z 0 Z L Z i i V + - i I 0 - l Standing Wave Ratio, and location of a minimum is used to measure ZL Z 0 Z L + - z = 0 ~ + - L V + - i V g V i I A circuit with transmission line Find power going into the load 0 0 0 0 r L i L V Z Z V Z Z - Γ = = + ( 29 ( 29 ( 29 ( 29 ( 29 2 0 2 0 0 2 2 cos sin 0 cos sin L i L Z d jZ d Z Z d jZ d β + = + Z
Smith chart Impedance matching with λ /4 section Impedance matching with shorted stub Important points on the Smith chart Typical problems:

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Transients Z 0 0 V 0 V Γ + - + - Z 0 R L + - 0 V g R Reflectometry Other possible terminations: RL Sketch the reflected pulse shape for a particular termination with a step function input Before the switch is closed V ( z )=0 Z 0 R L Z 0 l
ENEE 381 Lecture #21 Waveguides 10-1 and 10-2 TEM waves 10-2.1 TM waves 10-2.2 TE waves 10-2.3

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Lecture 21-Waveguides - Test#2 topics Reflection at normal...

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