Energy calibration of nonlinear microcalorimeters with uncertainty estimates from Gaussian process regression

Abstract

The nonlinear energy response of cryogenic microcalorimeters is usually corrected through an empirical calibration. X-ray or gamma-ray emission lines of known shape and energy anchor a smooth function that generalizes the calibration data and converts detector measurements to energies. We argue that this function should be an approximating spline. The theory of Gaussian process regression makes a case for this functional form. It also provides an important benefit previously absent from our calibration method: a quantitative uncertainty estimate for the calibrated energies, with lower uncertainty near the best-constrained calibration points.

Submitted to J. Low Temperature Physics for the Proceedings of the 19th International Workshop on Low-Temperature Detectors (2021)

References in corpus (1)

• Absolute energies and emission line shapes of the L x-ray transitions of lanthanide metals

Cited by in corpus (2)

• Controlled Shifts of X-ray Emission Lines Measured with Transition Edge Sensors at the Advanced Photon Source
• The potential of microcalorimeter x-ray spectrometers for measurement of relative fluorescence-line intensities