Error Budgeting Article Swipe
YOU?
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· 2017
· Open Access
·
· DOI: https://doi.org/10.2172/1398889
· OA: W4243616563
We calculate opacity from k (hn)=-ln[T(hv)]/pL, where T(hv) is the transmission for photon energy hv, p is sample density, and L is path length through the sample. The density and path length are measured together by Rutherford backscatter. Δk = $\\partial k$\\ $\\partial T$ ΔT + $\\partial k$\\ $\\partial (pL)$. We can re-write this in terms of fractional error as Δk/k = Δ1n(T)/T + Δ(pL)/(pL). Transmission itself is calculated from T=(U-E)/(V-E)=B/B0, where B is transmitted backlighter (BL) signal and B<sub>0</sub> is unattenuated backlighter signal. Then ΔT/T=Δln(T)=ΔB/B+ΔB<sub>0</sub>/B<sub>0</sub>, and consequently Δk/k = 1/T (ΔB/B + ΔB$_0$/B$_0$ + Δ(pL)/(pL). Transmission is measured in the range of 0.2<T<0.6 so that 1.5<1/T<5.
