扩散声场在围中的积极设计
Wilkins Aquino1, Jerry Rouse2, Marc Bonnet3
1Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708, USA.
The Journal of the Acoustical Society of America
|February 13, 2024
概括
本研究引入了一个数值框架,用于在任何房间设计分散的声音场,克服施罗德的频率限制. 该方法优化了较低频率的扩散场,具有显著的计算效率.
科学领域:
- 声学 声学 在声学方面
- 数字建模 数字建模
- 计算物理 计算物理
背景情况:
- 在封闭空间中实现分散的声场对于声质至关重要,但传统上受到施罗德频率的限制.
- 现有的方法与复杂的空间几何形状和在施罗德极限以下的任意频率作斗争.
研究的目的:
- 开发一个数值框架,用于设计任何形状和大小的房间中的分散声场.
- 为了克服扩散场生成的施罗德频率限制.
- 为了在任意频率下实现扩散场设计,特别是在常规极限以下.
主要方法:
- 将设计问题用提霍诺夫规则化的反向问题来阐述.
- 为计算效率提出空间相关性的低级近似.
- 开发一个算法,计算成本与目标点数线性.
主要成果:
- 证明了设计低于施罗德极限的频率的扩散场的可行性.
- 通过拟议的低级近似实现了显著的计算收益.
- 该框架适用于任意的目标点和空间几何组.
结论:
- 拟议的数值框架有效地设计了低于施罗德频率的分散声场.
- 低级近似为实际应用提供了实质性的计算优势.
- 这种方法提高了在各种环境中控制声场的能力.
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