Error Budgeting

Technical Report · Wed Oct 04 00:00:00 EDT 2017

DOI:https://doi.org/10.2172/1398889· OSTI ID:1398889

Vinyard, Natalia Sergeevna ^[1]; Perry, Theodore Sonne ^[1]; Usov, Igor Olegovich ^[1]

---

1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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 B₀ is unattenuated backlighter signal. Then ΔT/T=Δln(T)=ΔB/B+ΔB₀/B₀, and consequently Δk/k = 1/T (ΔB/B + ΔB$$_0$$/B$$_0$$ + Δ(pL)/(pL). Transmission is measured in the range of 0.2<0.6 so that 1.5<1/T<5.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC52-06NA25396
• OSTI ID: 1398889
• Report Number(s): LA-UR-17-29066
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
opacity experiments
Opacity-on-NIF