Lec15Bounce

Lec15Bounce - ECE 488 RF Circuits and Systems Fall 2009...

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1 1 Swartz 09/2/19 ECE 488 – RF Circuits and Systems – Spring 2009 Lecture 15: ECE 488 RF Circuits and Systems Transmission Line Transients Bounce Diagrams Fall 2009 Lecture 15 2009/2/23 t 0 = z = z () t z V , + t z V , t z V , 2 2 0 = z = z t z V , + t z V , t z V , 2 2 v t 2 = v t 2 3 = 1 3 2 Swartz 09/2/19 ECE 488 – RF Circuits and Systems – Spring 2009 Lecture 15: Announcements Pass around samples of transmission lines 3 Swartz 09/2/19 ECE 488 – RF Circuits and Systems – Spring 2009 Lecture 15: Time Domain Analysis The wave equation Has forward moving solutions of the form: And backward moving solutions of the form: Examples 2 2 2 2 2 , 1 , t t z V v z t z V = ( ) vt z V t z V = + , ( ) vt z V t z V + = , vt z V + z v vt z V + z v LC v 1 = 4 Swartz 09/2/19 ECE 488 – RF Circuits and Systems – Spring 2009 Lecture 15: Reflections at the Load The forward and reflected waves at z=0 are related by In both the sinusoidal steady state and transient cases, this relates the total reflected wave to the total forward wave. In the transient case this relation can also be applied to individual forward and reflected waves: But no complex impedances in transient case. A transient wave is not sinusoidal steady state! o Z 0 = z t V s = z s R L R L t , z V t , z V Γ = = = + 0 0 o L o L L Z R Z R + = Γ + - t z V , 0 = t z I , 0 = L t , z V t , z V Γ = = = + 0 0 1 1 5 Swartz 09/2/19 ECE 488 – RF Circuits and Systems – Spring 2009 Lecture 15:

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Lec15Bounce - ECE 488 RF Circuits and Systems Fall 2009...

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