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reflection standing waves
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Etan is continuous E E Htan is continuous X H E H H
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Reflection coefficient
X E H Transmission coefficient
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Reflection and transmission of a pulse signal at an interface of two different dielectrics.
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impedance meter conductor
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Reflection of an electromagnetic pulse from a conducting surface.
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magnitude square law detector
time-harmonic signal metal wall - R=-1 magnitude square law detector standing wave
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Standing wave
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standing wave @ different times
node antinode l
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electric & magnetic fields differ in phase by p/2
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Different resonances n = 1; 2; 3; ...
Screen Screen Screen Screen
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resonance Fabry-Perot resonator Screen L
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solve for the resonant frequency
application solve for the resonant frequency
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two different dielectrics
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applications paper ==> wood pulp & water in Sweden
oleo ==> corn oil & water in Iowa curing concrete ==> [cement + water] (time) emphysema ==> lung & air metal thickness in a rolling mill
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x y z qz qx qy E H r k Plane waves: not on an axis
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x y z qz qx qy E H k r
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reflection - two cases Einc || to surface Hinc || to surface x z z Hr
Er qr Hr Er qr x x Ei Hi qi Ei Hi x qi Incident wave Incident wave
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ki • r = [- k cos i ux + k sin i uz] • [x ux + y uy + z uz]
= - kx cos i + kz sin i kr • r = [+ k cos r ux + k sin r uz] • [x ux + y uy + z uz] = + kx cos r + kz sin r Ei Hi Hr Er x qi qr
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Ey inc = Eyi exp [- jk(-x cos i+z sin i)]
E = Eo exp [j(t - k • r)] Ey inc = Eyi exp [- jk(-x cos i+z sin i)] Ey ref = Eyr exp [- jk(+x cos r+z sin r)] @ metal x = 0 -- Ey = Eyr = - Eyi & r = i Ei Hi Hr Er x qi qr
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Bill, could I get a job at Microsoft? Hillary taught me Basic.
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