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首页> 外文期刊>Radio Science >Reciprocity theorems for electromagnetic or acoustic one-way wave fields in dissipative inhomogeneous media
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Reciprocity theorems for electromagnetic or acoustic one-way wave fields in dissipative inhomogeneous media

机译：耗散非均匀介质中电磁或声波单向波场的互易性定理

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摘要

Reciprocity theorems have proven their usefulness in the study of forward and inverse scattering problems. Most reciprocity theorems in the literature apply to the total wave field and are thus not compatible with one-way wave theory, which is often applied in situations in which there is a clear preferred direction of propagation, like in electromagnetic or acoustic wave guides and in seismic exploration. In this paper we review the theory for one-way wave fields (or bidirectional beams), and we extensively discuss the symmetry properties of the square root operator appearing in the one-way wave equation. Using these symmetry properties, it appears to be possible to derive reciprocity theorems of the convolution type and of the correlation type for electromagnetic or acoustic one-way wave fields in dissipative inhomogeneous media along the same lines as the usual derivation of the reciprocity theorems for the total wave field. The one-way reciprocity theorem of the convolution type provides a basis for representations of scattered one-way wave fields in terms of generalized Bremmer series expansions or generalized primaries. The one-way reciprocity theorem of the correlation type finds its application in reflection imaging based on inverse one-way wave field propagators.
机译：互易定理已证明在正向和反向散射问题的研究中很有用。文献中的大多数互易定理适用于总波场，因此与单向波理论不兼容，单向波理论通常用于存在明确的首选传播方向的情况下，例如电磁波导管或声波导管以及地震勘探。在本文中，我们回顾了单向波场（或双向波束）的理论，并广泛讨论了单向波方程中出现的平方根算子的对称性质。利用这些对称性，似乎有可能沿着与通常的推导互易性定理相同的直线，推导耗散非均匀介质中电磁或声波单向波场的卷积型和相关性互易定理。总波场。卷积类型的单向互易性定理提供了以广义Bremmer级数展开或广义基数表示离散单向波场的基础。相关类型的单向互易定理在基于逆单向波场传播子的反射成像中得到了应用。

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