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Prof. David R. Jackson Dept. of ECE

ECE 5317-6351 Microwave Engineering. Fall 2011. Prof. David R. Jackson Dept. of ECE. Notes 3. Smith Chart Examples. Example 1. Find Z (- d ). Impedance chart. a. Example 1 (cont.) . b. c. Example 2. Find Y (- d ). Admittance chart. a. Example 2 (cont.) . b. c.

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Prof. David R. Jackson Dept. of ECE

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  1. ECE 5317-6351 Microwave Engineering Fall 2011 Prof. David R. Jackson Dept. of ECE Notes 3 Smith Chart Examples

  2. Example 1 Find Z(-d) Impedance chart a

  3. Example 1 (cont.) b c

  4. Example 2 Find Y(-d) Admittance chart a

  5. Example 2 (cont.) b c Admittance chart

  6. Which Chart to Use? Simple answer: * When adding elements in series use Z-chart * When adding elements in parallel use Y-chart

  7. Using Reactive Loads Non-absorbing load (RL = 0)  Use reactively loaded section of transmission line. most common to use open or short load Impedance chart Reactance

  8. Using Reactive Loads (cont.) Susceptance Admittance chart

  9. Example 3 Use a short-circuited section of air-filled TEM, 50  transmission line (= k0, g =0) to create an impedance of Zin = -j25 at f = 10 GHz. Impedance chart L = 1.28 cm

  10. Example 4 Use an open circuited section of 75  (Y0 = 1/75 S) air-filled transmission line at f =10 GHz to create an admittance of Admittance chart

  11. Matching Circuit Admittance chart Want to pick d and Ys such that Yin = Y0. Note: At d we have

  12. Matching Circuit (cont.) We want Choose Admittance chart

  13. d Z0 ZL Z0s ls Example 5 In this example we will use the “usual” Smith chart, but as an admittance calculator.

  14. Example 5 (cont.) Admittance calculator (We’ll use the first choice.) plane X SC OC X X Smith chart scale: wavelengths toward load wavelengths toward generator

  15. Example 5 (cont.) Admittance calculator From the Smith chart: Analytically: X

  16. Quarter-Wave Transformer At f0 : For in = 0

  17. Example 6 Match 100  load to 50  transmission Line at f0.

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