Error analysis of an underdetermined, spectral unfold problem as applied to an x-ray absorption spectrometer
Flash x-ray sources at Sandia National Laboratories routinely test the hardness of electronic components to simulated threat spectra. While it is traditional to calculate the x-ray spectra produced in a given exposure from measurements of free-field dose, current, and voltage, these experimental quantities may not be accurately known for some source geometries. It is appropriate, therefore, to include a direct measurement of the x-ray spectrum for such tests. Random error propagation and unfold accuracy have been studied for the spectral unfold method used in the x-ray absorption spectrometer reported by Carlson. This system of 13 measurements and 30 spectral bins (0.01 -- 8 MeV) is underdetermined; a trial spectrum prevents unphysical solutions. Accuracy of the unfold was tested with simulated data from known spectra; the unfolds agreed with the known spectra to better than 10%, between 0.05 MeV and near the endpoints. Error propagation was studied by perturbing the input data randomly and unfolding the resulting data sets. In each unfold energy bin the standard deviation was taken as the propagated error. Above 0.05 MeV the unfold roughly doubled the input errors. The trail spectrum affects the unfold accuracy more strongly than the propagated errors. 11 refs., 10 figs.
- Research Organization:
- Sandia National Labs., Albuquerque, NM (USA)
- Sponsoring Organization:
- USDOE; USDOE, Washington, DC (USA)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 5659682
- Report Number(s):
- SAND-90-2852C; CONF-910640-3; ON: DE91013508
- Resource Relation:
- Conference: 8. IEEE pulsed power conference, San Diego, CA (USA), 17-19 Jun 1991
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
X-RAY SPECTROMETERS
DATA COVARIANCES
ABSORPTION
ALGORITHMS
CALCIUM FLUORIDES
MANGANESE
MONTE CARLO METHOD
THERMOLUMINESCENT DOSEMETERS
X-RAY DOSIMETRY
Y CODES
ALKALINE EARTH METAL COMPOUNDS
CALCIUM COMPOUNDS
CALCIUM HALIDES
COMPUTER CODES
DOSEMETERS
DOSIMETRY
ELEMENTS
FLUORIDES
FLUORINE COMPOUNDS
HALIDES
HALOGEN COMPOUNDS
LUMINESCENT DOSEMETERS
MATHEMATICAL LOGIC
MEASURING INSTRUMENTS
METALS
SPECTROMETERS
TRANSITION ELEMENTS
440102* - Radiation Instrumentation- Radiation Dosemeters
990200 - Mathematics & Computers