Phase space framework enables a variable-scale diffraction model for coherent imaging and display

The fast algorithms in Fourier optics have invigorated multifunctional device design and advanced imaging technologies.However,the necessity for fast computations limits the widely used conventional Fourier methods,where the image plane has a fixed size at certain diffraction distances.These limitations pose challenges in intricate scaling transformations,3D reconstructions,and full-color displays.Currently,the lack of effective solutions makes people often resort to pre-processing that compromises fidelity.In this paper,leveraging a higher-dimensional phase space method,a universal framework is proposed for customized diffraction calculation methods.Within this framework,a variable-scale diffraction computation model is established for adjusting the size of the image plane and can be operated by fast algorithms.The model’s robust variable-scale capabilities and its aberration automatic correction capability are validated for full-color holography,and high fidelity is achieved.The tomography experiments demonstrate that this model provides a superior solution for holographic 3D reconstruction.In addition,this model is applied to achieve full-color metasurface holography with near-zero crosstalk,showcasing its versatile applicability at nanoscale.Our model presents significant prospects for applications in the optics community,such as beam shaping,computer-generated holograms(CGHs),augmented reality(AR),metasurface optical elements(MOEs),and advanced holographic head-up display(HUD)systems.