Holographic Predictive Search: Extending the Scope

TL;DR

Holographic Predictive Search (HPS) is a new method for hologram generation that uses mathematical insights to make optimal modifications, improving accuracy and speed over traditional trial-and-error search methods.

Contribution

The paper extends HPS to cover various SLM types and diffraction regimes, demonstrating significant improvements in error reduction and generation time.

Findings

Up to 10x error reduction compared to previous methods

Significant performance improvements in hologram generation time

Effective across multiple SLM types and diffraction regimes

Abstract

Holographic Predictive Search (HPS) is a novel approach to search-based hologram generation that uses a mathematical understanding of the optical transforms to make informed optimisation decisions. Existing search techniques such as Direct Search (DS) and Simulated Annealing (SA) rely on trialling modifications to a test hologram and observing the results. A formula is used to decide whether the change should be accepted. HPS operates presciently, using knowledge of the underlying mathematical relationship to make exact changes to the test hologram that guarantee the 'best' outcome for that change. In this work, we extend the scope of the original research to cover both phase and amplitude modulating Spatial Light Modulators (SLMs), both phase sensitive and phase insensitive systems and both Fresnel and Fraunhofer diffraction. In the cases discussed, improvements of up to 10x are observed in final error and the approach also offers significant performance benefits in generation time. This comes at the expense of increased complexity and loss of generality.