Description and tolerance analysis of freeform surface figure error using specific-probability-distributed Gaussian radial basis functions
Autor: | Dewen Cheng, Tong Yang, Yue Liu, Yongtian Wang, Junhao Ni |
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Rok vydání: | 2019 |
Předmět: |
Surface (mathematics)
Tolerance analysis business.industry Computer science ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Spectral density 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Atomic and Molecular Physics and Optics Gaussian radial basis function 010309 optics Optics 0103 physical sciences 0210 nano-technology business Representation (mathematics) Algorithm ComputingMethodologies_COMPUTERGRAPHICS |
Zdroj: | Optics express. 27(22) |
ISSN: | 1094-4087 |
Popis: | Freeform surfaces have important applications in optical design. However, the complex surface figure error of freeform imaging systems affects the performance of as-built systems. In this paper, a method for the representation and tolerance analysis of the freeform surface figure error using a sum of specific-probability-distributed Gaussian radial basis functions is presented. This method is easy-used and practical. In addition, the actual manufacturing difficulty of different areas of the freeform surface is considered. Tolerance analysis of a nonsymmetric freeform off-axis three-mirror system was performed, including considering only the surface figure error, as well as an overall tolerance analysis considering both figure error and assembly error. The results demonstrated the effectiveness and feasibility of the proposed method. |
Databáze: | OpenAIRE |
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