Optimization of the Rowland circle grating for high-resolution astrophysical spectrometers working at soft x-ray and EUV wavelengths

Parameters of an Optimized Grating for a Two-Dimensional Line Source Geometry

Requirements Imposed on Focusing Optics and Imaging Detectors to Obtain the Resolving Power Shown in Fig. 2

Parameters of Optimized Gratings for Two-Element Spectrometers Using a Point Source of Radiation

^a Line density varies in accord with Eq. 7.
^b The optimization was performed under the constraint that λ₀ = 145 Å to force the peak in the resolving power distribution to shorter wavelengths.
^c Image loci are formed on right circular cylinders (to within a rms value of 200 μm). The x and z positions of the axis of the cylinder are in the coordinate system of Fig. 1.

Constraints on the Source Diameter S_ap and Detector Spatial Resolution S_det for the Spectrometer to Achieve the Resolving Power P of the Optimized Grating

^a See Table II.

Table I

Parameters of an Optimized Grating for a Two-Dimensional Line Source Geometry

Table II

Requirements Imposed on Focusing Optics and Imaging Detectors to Obtain the Resolving Power Shown in Fig. 2

Table III

Parameters of Optimized Gratings for Two-Element Spectrometers Using a Point Source of Radiation

^a Line density varies in accord with Eq. 7.
^b The optimization was performed under the constraint that λ₀ = 145 Å to force the peak in the resolving power distribution to shorter wavelengths.
^c Image loci are formed on right circular cylinders (to within a rms value of 200 μm). The x and z positions of the axis of the cylinder are in the coordinate system of Fig. 1.

Table IV

Constraints on the Source Diameter S_ap and Detector Spatial Resolution S_det for the Spectrometer to Achieve the Resolving Power P of the Optimized Grating

^a See Table II.