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.

中文翻译：

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全息预测搜索：扩展范围

摘要 全息预测搜索 (HPS) 是一种新的基于搜索的全息图生成方法，它使用对光学变换的数学理解来做出明智的优化决策。现有的搜索技术，例如直接搜索 (DS) 和模拟退火 (SA)，依赖于对测试全息图进行试验修改并观察结果。使用公式来决定是否应接受更改。HPS 具有先见之明，使用基本数学关系的知识对测试全息图进行精确更改，以保证该更改的“最佳”结果。在这项工作中，我们扩展了原始研究的范围，以涵盖相位和幅度调制空间光调制器 (SLM)、相位敏感和相位不敏感系统以及菲涅耳和夫琅禾费衍射。在所讨论的案例中，观察到最终误差提高了 10 倍，并且该方法还在生成时间上提供了显着的性能优势。这是以增加复杂性和丧失通用性为代价的。