AI 中文总结
本文针对彩色超透镜设计不考虑相机的问题，直接优化超原子宽度图以提升相机的互信息，在三种材料平台上实现了信息率、分辨率及色彩的提升，证明光学传递重新分配可改善相机性能。
AI 中文摘要
彩色超透镜设计传统上会为每个超原子分配目标相位，却不考虑将使用它的相机。本文直接针对原始、含噪、马赛克采样测量所携带的关于目标图像的互信息优化超原子宽度图，在固定所有其他参数的情况下，对麦克斯韦传播、滤色器马赛克、像素积分和传感器噪声进行求导。从传统双曲设计出发，该优化将传递的目标信息提高了15.8%，同时收集的电荷更少，表明相机性能的提升可源于光学传递的重新分配，而非最大化吞吐量或消色差聚焦。在保留的场景上，分辨率和颜色共同改善（PSNR提升1.28 dB，Delta E_00降低18%），且该优势在三种超原子材料平台上均具有通用性。
英文摘要
A metalens is conventionally built by prescribing a target phase and matching each meta-atom to it, and making that phase achromatic across the visible band is the main difficulty in color imaging. We remove the prescribed phase entirely. The meta-atom width map is optimized directly against the information the raw, noisy, mosaic-sampled camera measurement carries about the target image, differentiated through Maxwell propagation, the color-filter mosaic, pixel integration and sensor noise, with material, thickness and library held fixed. On a single-layer silicon-nitride platform, starting from a hyperbolic design, this raises delivered target information by 15.8% despite lower collected charge, produces the most balanced set of channel responses at the sensor plane relative to their respective axial maxima, and reduces blue-channel blur. A high-signal-to-noise held-out reconstruction improves in spatial fidelity and color accuracy. The same width-only optimization improves color across silicon-nitride, silicon-dioxide and titanium-dioxide libraries.
Comments50 pages, 14 figures
