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REFLECTION AND TRANSMISSION II

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Presentation on theme: "REFLECTION AND TRANSMISSION II"— Presentation transcript:

1 REFLECTION AND TRANSMISSION II
PH424 W10 Do not distribute 11/20/2018 REFLECTION AND TRANSMISSION II Reading: Main 9.2 GEM 9.1.3 Lecture 4

2 Incident ()+ reflected () Transmitted ()
PH424 W10 Do not distribute 11/20/2018 Boundary v1 > v2 v2 < v1 Incident ()+ reflected () Transmitted () Lecture 4

3 Displacement reflection and transmission coeffs!
PH424 W10 Do not distribute 11/20/2018 Solve simultaneously Displacement reflection and transmission coeffs! Lecture 4

4 PH424 W10 Do not distribute 11/20/2018 Impedance, Z Defines Z as the ratio of the applied force to the resulting (material) velocity For rope system: piston applies force at x = 0 producing wave in direction of +ve x ( = tension) Lecture 4

5 Impedance proportional to k if t is constant.
PH424 W10 Do not distribute Impedance, Z is defined as the ratio of the applied force to the resulting (material) velocity 11/20/2018 Traveling wave eqn Impedance proportional to k if t is constant. Lecture 4

6 PH424 W10 Do not distribute 11/20/2018 Lecture 4

7 REFLECTION AND TRANSMISSION -REVIEW
PH424 W10 Do not distribute 11/20/2018 REFLECTION AND TRANSMISSION -REVIEW Continuity conditions (relationship of positions, forces etc at boundary) Reflection and transmission coefficients for , Reflection and transmission coefficients for ddx, Free & fixed boundaries, Phase change at boundary impedance (mechanical and electrical) Mathematical representations of the above Lecture 4

8 Similar to a LCR circuit!

9 600 m of RG-59 Cable, Open Circuit
incident reflected 600 m of RG-59 Cable, Open Circuit open

10 600 m of RG-59 Cable, Short Circuit
incident transmitted to outer 600 m of RG-59 Cable, Short Circuit open short

11 600 m of RG-59 Cable, 75 Ohm terminated
gone!!!! 600 m of RG-59 Cable, 75 Ohm terminated 75 W

12 Similar to a LCR circuit!

13


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