| dc.description.abstract | Wide-angle lenses, known for their large field-of-view characteristics, are widely used in various fields, including surveillance systems, Virtual Reality (VR), Augmented Reality (AR), medical imaging, and autonomous driving. However, compared to lenses with smaller fields of view, wide-angle lenses face greater challenges in design and manufacturing. These challenges include severe distortion, edge blurring, chromatic aberration, and degradation of imaging quality caused by manufacturing errors.
To address these issues, this study proposes a comprehensive tolerance analysis method based on the Cumulative Probability Curve (CPC) theory, combined with the tolerance analysis functionality of the optical design software Code V. This approach enables lens designers to more accurately predict the imaging quality of lenses after manufacturing.
Historical studies reveal that CPC theory has been widely applied in statistical simulations across fields such as sociology, economics, architecture, and industrial manufacturing. It quantifies limited data to perform simulations that align with natural laws, yielding effective results. By applying CPC theory to quantify the impact of various tolerances on imaging quality, lens designers can optimize tolerance allocations during the design phase, thereby reducing aberrations such as distortion and improving imaging quality.
When the half field-of-view reaches 90°, the paraxial image height becomes infinite. However, the actual image height cannot be infinite, leading to image overlap in the range of 75° to 90° half field-of-view, a significant drawback of wide-angle lenses. For the 80° wide-angle lens designed in this study, F-theta distortion was applied to calculate the ideal image height, which was then used to evaluate the extent of image plane distortion.
Additionally, this study analyzed the designed 80° wide-angle lens using two methods: sensitivity analysis and desensitization analysis. Common tolerance factors such as curvature radius, thickness, displacement, and tilt were examined, and appropriate modification strategies were proposed. This approach not only shortens the design-to-manufacturing cycle but also enhances the production consistency and stability of wide-angle lenses.
This research provides practical guidance for wide-angle lens design and uses CPC theory to simulate tolerance analysis during lens manufacturing and assembly. It holds significant value for both academia and industry. In the future, these related technologies can be further applied to the design and optimization of high-end optical systems, driving innovation and development in the imaging optics industry. | en_US |