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
Incident ()+ reflected () Transmitted () PH424 W10 Do not distribute 11/20/2018 Boundary v1 > v2 v2 < v1 Incident ()+ reflected () Transmitted () Lecture 4
Displacement reflection and transmission coeffs! PH424 W10 Do not distribute 11/20/2018 Solve simultaneously Displacement reflection and transmission coeffs! Lecture 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
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
PH424 W10 Do not distribute 11/20/2018 Lecture 4
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 ddx, Free & fixed boundaries, Phase change at boundary impedance (mechanical and electrical) Mathematical representations of the above Lecture 4
Similar to a LCR circuit!
600 m of RG-59 Cable, Open Circuit incident reflected 600 m of RG-59 Cable, Open Circuit open
600 m of RG-59 Cable, Short Circuit incident transmitted to outer 600 m of RG-59 Cable, Short Circuit open short
600 m of RG-59 Cable, 75 Ohm terminated gone!!!! 600 m of RG-59 Cable, 75 Ohm terminated 75 W
Similar to a LCR circuit!