Electromagnetics II Unit 5 ： Single-stub and Double-stub Impedance Transformers Lecturer: Professor Jean-Fu Kiang Text book: N. N. Rao, “Elements of Engineering Electromagnetics,” sixth ed., Pearson, Unless noted, the course materials are licensed under Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan (CC BY-NC-SA 3.0)Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan

Single-stub Transformer (1/2) 2

Single-stub Transformer (2/2) 3

Double-stub Transformer 4

Smith Chart 5 Constant r circles Constant x circles

Example: Single-stub Transformer (1/2) 6

Example: Single-stub Transformer (2/2) 7

Example: Double-stub Transformer (1/2) 8

Example: Double-stub Transformer (2/2) 9

Copyright Declaration 10 Page WorkLicensingAuthor/Source 2 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan 3 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan 4 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan

11 Copyright Declaration Page WorkLicensingAuthor/Source 5 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan 6 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan 7 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan

12 Copyright Declaration Page WorkLicensingAuthor/Source 8 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan 9 Jean-Fu Kiang / National Taiwan University This work is licensed by Creative Commons Attribution-NonCommercial-ShareAlike 3.0 TaiwanCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Taiwan