无透镜多光谱成像系统的超均匀标量随机场
Hyperuniform scalar random fields for lensless, multispectral imaging systems
摘要：
基于斑图形成理论中非线性反应扩散方程的超均匀随机场解，提出了一种新的无透镜成像系统设计框架.具体来说，我们引入了一类新的成像点扩散函数（PSF）增强各向同性的行为和可控稀疏。我们研究了一些非线性模型的PSF和调制传递函数（MTF），并证明了具有超均匀无序的两相各向同性随机场非常适合于构造成像PSF，与基于Perlin噪声的PSF相比，其性能有所改善。此外，我们还介绍了一种基于非傍轴瑞利-索末菲衍射理论的相位恢复算法，并介绍了从超均匀随机场设计的具有PSF的衍射相位板，称为超均匀相位板（HPPs）。最后，使用高保真物体重建，我们证明了在可见光范围内使用工程HPP提高图像质量。所提出的框架是适合于高性能的无透镜成像系统的片上显微镜和光谱学应用。
英文摘要：
We propose a novel framework for the systematic design of lensless imaging systems based on the hyperuniform random field solutions of nonlinear reaction-diffusion equations from pattern formation theory. Specifically, we introduce a new class of imaging point-spread-functions (PSFs) with enhanced isotropic behavior and controllable sparsity. We investigate the PSFs and the modulated transfer functions (MTFs) for a number of nonlinear models and demonstrate that two-phase isotropic random fields with hyperuniform disorder are ideally suited to construct imaging PSFs with improved performances compared to PSFs based on the Perlin noise. Additionally, we introduce a phase retrieval algorithm based on the non-paraxial Rayleigh-Sommerfeld diffraction theory and introduce diffractive phase plates with PSFs designed from hyperuniform random fields, called hyperuniform phase plates (HPPs). Finally, using high-fidelity object reconstruction, we demonstrate improved image quality using engineered HPPs across the visible range. The proposed framework is suitable for high-performance lensless imaging systems for on-chip microscopy and spectroscopy applications.
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