In this paper, we present a time domain extension of our strategy on manipulating radiated scalar Helmholtz fields and discuss two important applied scenarios, namely (1) creating personal sound zones inside a bounded domain and (2) shielded localized communication. Our strategy is based on the authors' previous works establishing the possibility and stability of controlling acoustic fields using an array of almost non-radiating coupling sources and presents a detailed Fourier synthesis approach towards a time-domain effect. We require that the array of acoustic sources creates the desired fields on the control regions while maintaining a zero field beyond a larger circumscribed sphere. This paper recalls the main theoretical results then presents the underlying Fourier synthesis paradigm and show, through relevant simulations, the performance of our strategy.

翻译：本文提出了一种时域扩展策略，用于操控辐射标量亥姆霍兹场，并探讨了两个重要的应用场景：(1)在有界域内创建个性化声区；(2)实现屏蔽式局部通信。该策略基于作者先前关于利用几乎无辐射的耦合声源阵列控制声场的可能性与稳定性的研究，提出了一种详细的傅里叶综合方法以实现时域效应。我们要求声源阵列在控制区域内生成期望声场，同时在更大的外接球体外部保持零场。本文回顾了主要理论结果，阐述了基础的傅里叶综合范式，并通过相关仿真展示了该策略的性能。