Wave Propagation, and Reflections

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Presentation transcript:

Wave Propagation, and Reflections Transmission Lines Wave Propagation, and Reflections

Electrical Wave Mechanics

Notice the reflection at the boundary where mechanical media change! Mechanical Waves Notice the reflection at the boundary where mechanical media change!

More Mechanical WaveAnalogy Jelly Babies Wave machine!

Old School Demo (still brilliant) https://www.youtube.com/watch?v=DovunOxlY1k&t=1328s (start at 19 min; 20 min in shows great demo) The legend Dr. JN Shive from Bell Labs demos wave reflections, inventor of __________ ??

Transmission Lines Image credits: Farid Farahmand, UC-Davis; Wikimedia Commons

Transmission Line Model Distributed inductance Distributed capacitance

Characteristic Impedance Input voltage V+ causes current I+ to flow in infinitely long line: Wave propagation speed zo ~ 50 W zo ~ 100 W

Avoiding Reflections: Impedance Matching 𝜌= 𝑟𝑒𝑓𝑙𝑒𝑐𝑡𝑒𝑑 𝑏𝑎𝑐𝑘𝑤𝑎𝑟𝑑 𝑤𝑎𝑣𝑒 𝑖𝑛𝑐𝑖𝑑𝑒𝑛𝑡 𝑓𝑜𝑟𝑤𝑎𝑟𝑑 𝑤𝑎𝑣𝑒 = 𝑧 𝐿 − 𝑧 𝑜 𝑧 𝐿 + 𝑧 𝑜 Reflection Coefficient incident zL zs reflected Set zL = zo for no reflections

Reflections Can Wreak Havoc Lab/testing action starts at 5 min. First 9 min is brilliant intro to transmission lines