We develop herein a new optimization modulation method for the three-dimensional (3D) spectral data cubes (SDC) based on the use of a linear encoding scheme of the intrinsic chromatic aberration, especially for snapshot multispectral or hyperspectral imaging systems. The mathematical model of the linear chromatic aberration modulation is established that provides the theoretical guidelines on the optimal design of 3D SDC for snapshot spectral imaging systems. Theoretical calculations and spectral simulations of an optical system are conducted and are shown to match closely, thus demonstrating that the proposed linear encoding scheme can be used as a valid modulation method for 3D SDC. This study also addresses the mutual restriction of spectral and spatial resolutions in the studied imaging systems. Overall, the proposed method is expected to create new possibilities for high-resolution, low-cost spectral imaging with simple designs.
The Progressive addition lens is used increasingly extensive with its advantages of meeting the requirements of distant and near vision at the same time. Started from the surface equations of progressive addition lens, combined with evaluation method of spherical power and cylinder power, the relationship equations between the surface sag and optical power distribution are derived. According to the requirements on difference of actual and nominal optical power from Chinese National Standard, the tolerance analysis and evaluation of prototype progressive addition surface with addition of 2.5m−1 ( 7.5m−1 ~ 10m−1 ) is given in detail. The tolerance analysis method provides theoretical proof for lens processing control accuracy, and the processing feasibility of lens is evaluated much more reasonably.
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