In-flight PSF calibration of the NuSTAR hard X-ray optics
Hongjun An, Kristin K. Madsen, Niels J. Westergaard, Steven E. Boggs,, Finn E. Christensen, William W. Craig, Charles J. Hailey, Fiona A. Harrison,, Daniel K. Stern, and William W. Zhang

TL;DR
This paper details the calibration of NuSTAR's hard X-ray optics PSF using in-orbit observations and ray-trace models, improving accuracy and confirming stability over 300 days.
Contribution
It introduces empirical corrections to the ray-trace model for better PSF calibration of NuSTAR's optics in orbit.
Findings
Empirical corrections significantly improve the ray-trace model fit.
Uncertainty in the PSF's enclosed energy fraction is less than 3%.
The PSF remained stable over approximately 300 days.
Abstract
We present results of the point spread function (PSF) calibration of the hard X-ray optics of the Nuclear Spectroscopic Telescope Array (NuSTAR). Immediately post-launch, NuSTAR has observed bright point sources such as Cyg X-1, Vela X-1, and Her X-1 for the PSF calibration. We use the point source observations taken at several off-axis angles together with a ray-trace model to characterize the in-orbit angular response, and find that the ray-trace model alone does not fit the observed event distributions and applying empirical corrections to the ray-trace model improves the fit significantly. We describe the corrections applied to the ray-trace model and show that the uncertainties in the enclosed energy fraction (EEF) of the new PSF model is < 3% for extraction apertures of R > 60" with no significant energy dependence. We also show that the PSF of the NuSTAR optics has been stable…
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