ENEE482-Dr. Zaki1 Impedance Matching with Lumped Elements YLYL jX 1 jB 2

ENEE482-Dr. Zaki2 jB 2 jX 1 ZLZL

ENEE482-Dr. Zaki3 Single-Stub Matching Load impedance Input admittance=S

ENEE482-Dr. Zaki4 Series Stub Input impedance=1/S Voltage minimum

ENEE482-Dr. Zaki5 Double Stub Matching Network jB 1 jB 2 YLYL a b ba

ENEE482-Dr. Zaki6 0 r=1 x=1 x=-1 Real part of Refl. Coeff. P short circuit P open circuit r=0.5 Smith Chart YLYL

ENEE482-Dr. Zaki7 0 r=1 x=1 x=-1 Real part of Refl. Coeff. P short circuit P open circuit r=0.5 Smith Chart YLYL Rotate the the G=1 circle through an angle -  The intersection of G=1 and the G L circle determine The point P 2 P2P2 P3P3 G 1 =1

ENEE482-Dr. Zaki8 0 r=1 x=1 x=-1 Real part of Refl. Coeff. P short circuit P open circuit r=0.5 Smith Chart YLYL The shaded range is for the load impedance which cannot be matched when d=1/8 wavelength

ENEE482-Dr. Zaki9 Quarter-Wave Transformers ZLZL  4 Z C =Z 0 Z C =Z 1

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ENEE482-Dr. Zaki11   mm  2   mm  Bandwidth characteristic for a single Section quarter wave transformer

ENEE482-Dr. Zaki12 Theory of Small Reflection  LL 11 22     1    

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ENEE482-Dr. Zaki14 1  21  Multiple reflection of waves for a circuit with two reflection junctions

ENEE482-Dr. Zaki15 Approximate Theory for Multi-Section Quarter Wave Transformers LL  00 22 11 NN A multi-section quarter-wave transformer   

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ENEE482-Dr. Zaki17 Binomial Transformer

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ENEE482-Dr. Zaki21 Example ZLZL Z2Z2 Z1Z1 Z0Z0 Z3Z3 Design a three section binomial transformer to match a 50 Ohms load to a 100 Ohms line. Calculate the bandwidth For max reflection =.05 over the passband.

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ENEE482-Dr. Zaki23 Chebyshev Transformer  mm  mm mm 

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ENEE482-Dr. Zaki26 Example Design a two section Chebyshev transformer (two sections) to Match a line of load impedance =2. The maximum tolerance Value of  is 0.05.

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ENEE482-Dr. Zaki28 Design of Complex Impedance Termination AmplifierZcZc ZcZc Input Matching network Output Matching network ZsZs ZLZL Microwave amplifier circuit

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ENEE482-Dr. Zaki30 jB 1 Stub ZLZL ZcZc ZLZL ll G=1 jB 1 ZLZL G=1 jB 2 ZLZL G=1 jX 1 jX 2 = Transmission Line Matching Network Alternative Matching Networks

ENEE482-Dr. Zaki31 Generator Load l/ = l/ = j1 -j1 YLYL Z L = 0.4-j0.2 Y’ in 1 2 G=1 G=2 Y” in Design Procedure for the Matching Network with Shunt Stub

ENEE482-Dr. Zaki32 Impedance Mismatch Factor

ENEE482-Dr. Zaki33 Z 11 -Z 12 Z 22 -Z 12 Z 12 ZLZL ZSZS VSVS Z in ZTZT V oc ZLZL MLML A T matching networkThevenin equivalent network

ENEE482-Dr. Zaki34 Impedance Transformation and Matching Review of Transmission Lines and Smith Chart ZgZg ZLZL Z0Z0 VgVg Finite Transmission Line terminated with load impedance Z =L Z=0 L

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ENEE482-Dr. Zaki36 Standing wave ration (SWR) S: Smith Chart:

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ENEE482-Dr. Zaki38 Imaginary part of Refl. Coeff. 0 r=1 x=1 x=-1 Real part of Refl. Coeff. P short circuit P open circuit r=0.5 Smith Chart

ENEE482-Dr. Zaki39 Review of Transmission Lines and Smith Chart ZgZg ZLZL Z0Z0 VgVg Finite Transmission Line terminated with load impedance Z =L Z=0 L