Waves

Transmission Coefficient

T=1R=4v1v2(v1+v2)2T = 1 - R = \frac{4v_1 v_2}{(v_1 + v_2)^2}

Fraction of wave power transmitted through boundary between two media.

Variables

T
Transmission coefficient
Fraction of power transmitted (0-1)
unitless
R
Reflection coefficient
Fraction reflected
unitless
v₁
Wave speed in medium 1
Incident medium
m/s
v₂
Wave speed in medium 2
Transmitted medium
m/s

Derivation

Energy conservation: T + R = 1. T = 4v₁v₂/(v₁+v₂)².

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