Full-field and full-spectrum response efficiency calibration of x-ray grazing incidence microscope

Quantitative analysis of inertial confinement fusion (ICF) implosion hotspots requires accurate measurements of spatially distributed x-ray emission spectra. Kirkpatrick-Baez (KB) x-ray microscopes are widely used for hotspot diagnostics in major ICF facilities; however, accurate calibration of their full-field and full-spectrum response efficiency remains challenging due to multi-parameter coupling and spatially nonuniform optical response. In this study, we present an efficient calibration method for a KB microscope by combining theoretical modeling with experimental reflectivity measurements. The response efficiency is described in terms of the collection solid angle, magnification, and angle-dependent mirror reflectivity, while experimental data are used to calibrate key model parameters, including the effective grazing incidence angle and a global intensity correction factor accounting for system-level losses. The method is applied to a four-channel, energy-adaptive KB microscope, enabling determination of the spatial distribution of the effective response energy and the full-spectrum response efficiency over the entire field of view. This approach provides a reliable basis for quantitative ICF hotspot imaging diagnostics.