HIBL Operator

HIBL is introduced as a realization operator that maps learned phase distributions into physically recordable interference patterns. The cosine fringe term carries learned phase information as an amplitude-modulated interference pattern. HIBL forms a holographic intensity by interfering an object beam carrying the learned phase with a known reference beam. HIBL makes physical embodiment part of the computational model rather than assuming learned phase profiles are automatically manufacturable. HIBL is not treated as a lossless embedding because dc terms and fringe envelopes reduce reconstruction fidelity.