Differentiable design and digital imaging compensation for micro catadioptric systems

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Abstract
Compared with traditional periscope telephoto systems, micro catadioptric systems feature a compact structure, long focal length, and large aperture capability, showing potential in portable photography systems. However, they suffer from scarce initial structures, as well as image quality degradation caused by tolerances and central obscuration. To address these challenges, this study proposes a method for generating initial structures of three-element catadioptric systems with Q-bfs aspheres. Given design indicators, the optical power distribution is first determined via Delano diagrams. Subsequently, gradient descent and differential evolution algorithms are applied alternately to optimize the sampled system population. Finally, the optimal individual in the population is selected, and a digital network is adopted to compensate for image quality degradation caused by assembly tolerances and central obscuration. Two design examples are presented to verify the feasibility and effectiveness of the proposed framework.
Funding Information
  • National Natural Science Foundation of China (62405267)

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