双Amici棱镜为复合棱镜结构，作为成像光谱系统中的分光元件，避免了单棱镜色散结构存在的多种问题。双Amici棱镜的加工生产要对其各个角度提出生产指标，而角度误差对于光谱成像系统的色散性是有影响的。针对一种编码孔径成像光谱仪，设计了符合性能指标要求的双Amici棱镜，并从光线追迹的角度出发，计算得到双Amici棱镜色散的数学模型。针对给出的一特定光学系统中的棱镜结构推导了棱镜各个角度单独对线色散的影响，并分析给出各个角度构成的误差链对线色散的综合影响，最终给出了棱镜的生产指标。分析结果有助于指导系统中该棱镜的加工生产。

Double Amici prism is a kind of composite prism, as the dispersion component of the imaging spectral system, avoiding some problems of the single dispersion prism. We should give out the each angle′s processing targets of the double Amici prism. Every angle error has a different effect on the dispersion. We design a coded aperture imaging spectral system. A double Amici prism is designed to meet the needs of the applications of the specific system. The mathematical model of the double Amici prism dispersion is deduced from the standpoint of ray tracing. In this particular optical system, we give out the effect of every angle of the prism on the line dispersion, then analyze of the angular error chain′s effect on the line dispersion, and finally give out the production index of the prism. The results contribute to the processing and production of the prism.