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Subject Absorption and transmission
Date
Wed Feb 25 2004 10:03
Author Tor Erik Vigran
(vigran@iet.ntnu.no)
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By definition the absorption coefficient alpha of a surface is given by the ratio of the absorbed energy to the incident energy. Either this energy is actually dissipated in or transmitted through the surface is immaterial seen from the incident side, the energy not being reflected back is by definition absorbed. For a surface of a given size the incident power Wi must be equal to the sum Wr + Wd +Wt, where the indices r, d and t indicate reflected, dissipated and transmitted power. Dividing on both sides by Wi we get 1= r + d + tau, where r, d and tau are the power reflection coefficient, a dissipation coefficient and the transmission coefficient. This may be written 1 – r = alpha = d + tau, which is the relationship you are looking for. The sound reduction index R is given by -10×lg(tau)
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