Ultrasonic holography offers substantial information capacity, yet its potential for information encryption remains largely unexplored with few experimental demonstrations. Here, we present acoustic holographic encryption using a compact single-element transducer. To simultaneously achieve high reconstruction fidelity and amplitude control under simplified hardware, we introduce a physics-informed, differentiation-enhanced computational framework—the Differential Angular Spectrum Algorithm (DASA). DASA augments band-limited angular-spectrum propagation with gradient-based phase optimization and a phase-plate correction, enabling faithful and uniform field synthesis. Reconstruction fidelity is validated by pressure-field measurements and microparticle manipulation, demonstrating practical field-based data encoding and decryption. DASA attains a mean-squared error of 1.5×10−4, peak signal-to-noise ratio of 38.323 dB, uniformity (U) of 0.995, and correlation of 0.995, all computed on 0, 1-normalized intensity maps within the target region of interest, outperforming the iterative angular spectrum algorithm across these metrics. The approach provides a robust and scalable route to secure, high-density information encoding with a single-transducer–single-lens architecture, with implications for acoustic communication, biomedical manipulation, and physical-layer security.
Qin et al. (Wed,) studied this question.