Matsuzawa Toshiaki
Life and Industrial Products Development Department, Olympus Corporation, 2951 Ishikawa-cho, Hachioji-shi Tokyo 192-8507, Japan.
J Opt Soc Am A Opt Image Sci Vis. 2011 Feb 1;28(2):96-110. doi: 10.1364/JOSAA.28.000096.
The distribution model of wavefront aberrations, which takes on a significant role in the designs and alignments of imaging optical systems without vignetting, is newly presented. This model decomposes the complicated distributions into the characteristic components, which clarifies the alignment criteria. For the actual alignments, only small displacements (decentering, tilt, and surface distance) of rotationally symmetric surfaces in the system are assumed. Then, the model, which regards the aberration distributions of the system as the sum of the contributions of each surface, is extended for the system with surface displacements. As a result of the derivation, it is concluded that the aberration distributions in the rotationally nonsymmetric systems can be expressed as the sum of several folds of rotationally symmetric components. In addition, it is presented that, based on this model, suitable distribution models, even of the arbitrary higher order, can be constructed for any aberration coefficients in various optical systems.
本文首次提出了一种在无渐晕成像光学系统的设计和校准中具有重要作用的波前像差分布模型。该模型将复杂的分布分解为特征分量，从而明确了校准标准。对于实际校准，仅假设系统中旋转对称面有小位移（偏心、倾斜和表面距离）。然后，将把系统像差分布视为每个面贡献之和的模型扩展到具有表面位移的系统。推导结果表明，旋转非对称系统中的像差分布可表示为若干倍旋转对称分量之和。此外，还提出基于该模型可为各种光学系统中的任意像差系数构建合适的分布模型，甚至是任意高阶的。
