title: A hierarchical generalization of the acoustic reciprocity theorem involving higher-order derivatives and interaction quantities.
abstract: An acoustic reciprocity theorem is generalized, for a smoothly varying perturbed medium, to a hierarchy of reciprocity theorems including higher-order derivatives of acoustic fields. The standard reciprocity theorem is the first member of the hierarchy. It is shown that the conservation of higher-order interaction quantities is related closely to higher-order derivative distributions of perturbed media. Then integral reciprocity theorems are obtained by applying Gauss's divergence theorem, which give explicit integral representations connecting higher-order interactions and higher-order derivative distributions of perturbed media. Some possible applications to an inverse problem are also discussed.
authors: College of Information Science and Engineering, Ocean University of China, 238 Song Ling Road, Qingdao 266100, China julin97@gmail.com, jennyprc89@gmail.com, 1241137284@qq.com, wangyu@public.qd.cn.
authors: Ju
authors: J
authors: Lin
authors: College of Information Science and Engineering, Ocean University of China, 238 Song Ling Road, Qingdao 266100, China julin97@gmail.com, jennyprc89@gmail.com, 1241137284@qq.com, wangyu@public.qd.cn.
authors: Jie
authors: J
authors: Li
authors: College of Information Science and Engineering, Ocean University of China, 238 Song Ling Road, Qingdao 266100, China julin97@gmail.com, jennyprc89@gmail.com, 1241137284@qq.com, wangyu@public.qd.cn.
authors: Xiaolei
authors: X
authors: Li
authors: College of Information Science and Engineering, Ocean University of China, 238 Song Ling Road, Qingdao 266100, China julin97@gmail.com, jennyprc89@gmail.com, 1241137284@qq.com, wangyu@public.qd.cn.
authors: Ning
authors: N
authors: Wang