Download presentation
Presentation is loading. Please wait.
Published byBartholomew Lane Modified over 9 years ago
1
The Smith Chart Developed in 1939 by P. W. Smith as a graphical tool to analyze and design transmission-line circuits Today, it is used to characterize the performance of microwave circuits
2
Complex Plane
3
Smith Chart Parametric Equations Equation for a circle
4
Smith Chart Parametric Equations r L circles x L circles r L circles are contained inside the unit circle Only parts of the x L circles are contained within the unit circle
5
Complete Smith Chart r L Circles Positive x L Circles Negative x L Circles
6
Reflection coefficient at the load
7
Input Impedance Constant SWR circle (standing-wave ratio)
8
S: standing-wave ratio For
9
Maxima and Minima
10
Impedance to Admittance Transformation
11
(a) (b) (c) (d)
12
Given: S = 3 Z 0 = 50 Ω first voltage min @ 5 cm from load Distance between adjacent minima = 20 cm Determine: Z L λ/2 = 20
13
Matching Networks
14
Examples of Matching Networks
15
Lumped-Element Matching Choose d and Ys to achieve a match at MM’
17
Cont.
18
Single-Stub Matching
22
Transients Rectangular pulse is equivalent to the sum of two step functions
23
Transient Response Initial current and voltage Reflection at the load Second transient Load reflection coefficient Generator reflection coefficient
24
T = l/u p is the time it takes the wave to travel the full length of the line Voltage Wave
25
Current Wave Reflection coefficient for current is the negative of that for voltage
26
Steady State Response
27
Bounce Diagrams
30
Technology Brief 4: EM Cancer Zapper
31
Technology Brief 4: High Voltage Pulses
32
Summary
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.