Zang Yuchen
School of Physics and Technology, Nanjing Normal University, Nanjing 210023, China.
J Acoust Soc Am. 2024 Jul 1;156(1):86-92. doi: 10.1121/10.0026486.
As a universal theorem applicable to linear physical systems, reciprocity theorems describe the reciprocity between the input and output of linear systems. As for the electromagnetic field, there have been detailed studies on the reciprocity theorems of energy, momentum, and angular momentum, which reveal the correlation between two electromagnetic field sources from different aspects. Based on the fundamentals of linear acoustic theory, the momentum-based and angular momentum-based reciprocity theorems for acoustic fields are derived. They indicate the correlation between two acoustic systems from the perspective of momentum and angular momentum, respectively. On this basis, a systematic summary and analogical study is also performed on various reciprocity theorems for acoustic and electromagnetic fields, which deepens our understanding of the reciprocity theorem as a universal law for linear physical fields. The results obtained in this work can further improve the reciprocity theory of linear acoustic systems, as well as provide theoretical guidance for practical applications, such as audio signal processing and acoustic measurement.
作为适用于线性物理系统的通用定理，互易定理描述了线性系统输入与输出之间的互易性。对于电磁场，已经对能量、动量和角动量的互易定理进行了详细研究，这些研究从不同方面揭示了两个电磁场源之间的相关性。基于线性声学理论的基本原理，推导了声场基于动量和角动量的互易定理。它们分别从动量和角动量的角度表明了两个声学系统之间的相关性。在此基础上，还对声学和电磁场的各种互易定理进行了系统总结和类比研究，这加深了我们对互易定理作为线性物理场通用规律的理解。这项工作中获得的结果可以进一步完善线性声学系统的互易理论，并为诸如音频信号处理和声学测量等实际应用提供理论指导。
