Modified split-Lohmann holography: a shift- and ringing-free approach

Split-Lohmann (SL) holography has recently emerged as a high-speed hologram computation method whose calculation time is independent of the number of layers, distinguishing it from conventional layer-based approaches. However, SL holography introduces depth-dependent spatial shifts and persistent ringing artifacts when a random phase is not employed. In this study, we propose a modified SL holography that simultaneously mitigates both depth-dependent shifts and ringing. By introducing a constant-value aperture into the SL virtual optical system, we obtain a reference complex amplitude that encodes both the shift and ringing information. Applying a regularized complex division between the object-loaded SL hologram and this reference effectively cancels these unwanted aberrations. The proposed method maintains a computational complexity comparable to that of shift-free SL holography while significantly enhancing the fidelity of the reconstructed 3D scenes.