Regarding a phase-only Fourier hologram, coherent illumination is required in its optical reconstruction. However, this requirement faces a challenge in lensless Fourier-transform correlated imaging with thermal sources. In this research, a correlated reconstruction scheme for the phase-only Fourier hologram with spatially incoherent illumination by utilizing intensity fluctuation correlation measurements is proposed. Numerical simulation and optical experiments were conducted to verify the feasibility of the correlated reconstruction scheme. Because the proposal requires neither a coherent light source nor a lens, holographic reconstruction can circumvent the limitation of the spatial coherence light source and the influence of lens aberrations.

对于仅相位傅立叶全息图，其光学重建需要相干照明。然而，这一要求在使用热源的无透镜傅立叶变换相关成像中面临挑战。在这项研究中，提出了一种利用强度波动相关测量的具有空间非相干照明的仅相位傅立叶全息图的相关重建方案。数值模拟和光学实验验证了相关重建方案的可行性。由于该方案既不需要相干光源也不需要透镜，全息重建可以规避空间相干光源的限制和透镜像差的影响。