Xu Zeyu, Herzog Adrian, Lodermeyer Alexander, Habets Emanuël A P, Prinn Albert G
International Audio Laboratories Erlangen, a joint institution of the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) and Fraunhofer IIS, Am Wolfsmantel 33, 91058 Erlangen, Germany.
Fraunhofer Institute for Integrated Circuits IIS, Am Wolfsmantel 33, 91058 Erlangen, Germany
JASA Express Lett. 2022 Dec;2(12):124801. doi: 10.1121/10.0016542.
Acoustic reciprocity states that the transfer function between a source and a receiver remains unchanged if the two are interchanged. An extension of acoustic reciprocity to the spherical harmonic domain has been derived in the literature between a directional source and a directional receiver. The present letter derives a reciprocal relation between source and receiver directivity coefficients, which facilitates the derivation of a transfer function in the spherical harmonic domain using directivity coefficients obtained via reciprocity. Additionally, reciprocity between transfer functions is extended for more general source and receiver directivities, which include acoustic scattering effects.
声学互易性表明，如果声源和接收器互换位置，它们之间的传递函数保持不变。文献中已推导出声学互易性在球谐域中从定向声源到定向接收器的扩展。本文推导了声源和接收器指向性系数之间的互易关系，这有助于利用通过互易性获得的指向性系数在球谐域中推导传递函数。此外，传递函数之间的互易性扩展到了更一般的声源和接收器指向性，其中包括声学散射效应。
