Spatial Coherence Structure-Mediated Transmission of Encrypted Three-Dimensional Objects and Hidden Information.

The development of three-dimensional (3D) information encryption and transmission is constrained by the massive data bandwidth involved and the inherent limits of first-order optical parameters. Here, we present a novel scheme that integrates the spatial coherence structure of the optical field with holographic coding to enable secure transmission of encrypted 3D objects and concealed information. By exploiting the second-order coherence of partially coherent light, 3D information is encoded into the spatial coherence structure. Joint transmission is then achieved through two-dimensional (2D) intensity information. Meanwhile, the inherent concealment of the spatial coherence structure enables the synchronous transmission of hidden information. The incorporation of hidden information enhances system security, ensures transmission integrity, and facilitates the detection of degradation, loss, or tampering. This method achieves both efficient encrypted transmission and high-fidelity 3D reconstruction, markedly enhancing physical-layer security and resistance to attacks. This work provides a coherence structure-based framework for secure and efficient transmission of 3D data.