Fig. 1. Cauchois-geometry optics of a symmetry transmission cylindrical curved crystal.

Fig. 2. (Solid lines) the position of the slit $f$ versus the detecting distance $s$ (the source-to-crystal distance) of the 17.48 keV Mo K${\it\alpha}_{1}$ x-ray. (Dash lines) the position of the slit $f$ versus the x-ray photon energy at a fixed detecting distance, $s$, of 500 mm. The crystals’ curvature radii are 150 and 300 mm.

Fig. 3. The lateral distance of the 10 keV x-ray footprint on the crystal (Point C in Figure 1) versus the crystal’s curvature radius. The detecting distances $s$ are 200 mm (dash line) and 1500 mm (solid line).

Fig. 4. Theoretical spectral sensitivities of the transmission curved crystal spectrometers LCCS and HCCS. Insert is the sensitivity curve of Fujifilm™ image plates SR.

Fig. 5. Spectral resolution of the LCCS and HCCS spectrometers at detecting distances of 200 and 1500 mm. The working distance of the recording medium is fixed at $d_{0}=22~\text{mm}$.

Fig. 6. The energy-dependent integrated reflectivity of the curved crystals. The ${\it\alpha}$-quartz (10–11) crystals’ curvature radii are 300 mm (HCCS) and 150 mm (LCCS).

Fig. 7. Schematic diagram of the HCCS spectrometer.

Fig. 8. Experimental spectral images of a Mo anode x-ray source measured by (a) LCCS and (b) HCCS. Details of K lines are shown in (c) and (d), for LCCS and HCCS, respectively. The exposure times are 60 s for LCCS and 30 s for HCCS.

Fig. 9. Spectral images of the Mo anode x-ray source obtained by LCCS with various working distances $d_{\text{0}}$. (a) $d_{\text{0}}=7~\text{mm}$; (b) $d_{\text{0}}=22~\text{mm}$; (c) $d_{\text{0}}=52~\text{mm}$. The abscissa represents the distance from the left side of image.

Fig. 10. Experimentally measured and theoretically calculated spectral resolution at various working distances.

Fig. 11. Ag spectral images recorded using the HCCS at the XGIII laser facility (a), the detail characteristic K lines of Ag (b, c).