激光等离子体相互作用高分辨硬X射线光谱的测量通常采用柱面透射弯晶谱仪实现。利用几何光学模型对柱面透射弯晶谱仪的关键技术参数进行了理论计算和数值模拟，给出了谱仪弯晶曲率半径、光源到晶体的距离、光源尺寸和探测器的位置等因素对谱仪测谱范围和分辨能力的影响情况，分析了光谱分辨水平随能点的变化。分析结果表明：晶体曲率半径对测谱范围和谱分辨能力影响大，在光源尺寸较小时，随着探测器与罗兰圆距离的增加，谱线之间距离增加的速度大于光谱线宽增加的速度，使得分辨能力增加。

The high resolving measurement of hard Xray spectra generated in laserproduced plasma is usually performed using a cylindrically curved crystal spectrometer. In this paper, theoretical analysis and numerical simulation are performed to investigate the dependence of the energy range and resolution on various design parameters, including crystal bending radius, source to crystal standoff distance, source size, location of the detector, etc. The investigation provides a means to design and develop cylindrically transmission curved crystal spectrometer which is used in hard Xray diagnostics. The results show that crystal bending radius has a great influence on energy range of spectra and resolving power, and the separation between the spectral lines increases with the distance behind the focal circle faster than the line width, resulting in increased resolving power with distance.