Riedl M J
Appl Opt. 1974 Jul 1;13(7):1690-4. doi: 10.1364/AO.13.001690.
Analytical expressions have been developed for the primary aberrations of the thin Mangin mirror. The surface contributions for spherical aberration, coma, astigmatism, and field curvature are stated, including the first-order transverse axial chromatic aberration. Even though the Mangin mirror is used mostly with a large relative aperture, where higher order aberrations and residual spherical zonal aberration may have to be considered, the third-order expressions will still provide a good approximation of the image quality. This is especially true when the angular field coverage is modest, and the spectral bandpass of interest is narrow. It has been demonstrated that the Mangin mirror rates very favorably when compared against other single optical elements.
已经推导出了薄曼金镜初级像差的解析表达式。阐述了球差、彗差、像散和场曲的表面贡献，包括一阶横向轴向色差。尽管曼金镜大多用于相对孔径较大的情况，此时可能需要考虑高阶像差和残余球面带像差，但三阶表达式仍能很好地近似图像质量。当角视场覆盖适中且感兴趣的光谱带通较窄时，情况尤其如此。已经证明，与其他单个光学元件相比，曼金镜具有非常好的性能。
