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Reciprocity Theorems for Electromagnetic One-Way Wave Fields in 2-D Inhomogeneous Media

机译:二维非均匀介质中电磁单向波场的互易性定理

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摘要

One-way wave equations play a fundamental role in the formulation of imaging schemes for reflection measurements, as in seismic exploration and ground-penetrating radar. In this paper we review the theory for electromagnetic one-way wave fields, including dissipation, and we derive reciprocity theorems for these one-way wave fields. First we consider the special situation of a 2-D medium in which the medium parameters vary only in the lateral direction. Next we generalize the theory for 2-D inhomogeneous media. For the latter situation we derive oneway reciprocity theorems of the convolution type and of the correlation type. These reciprocity theorems find their applications in forward and inverse problems, respectively.
机译:单向波动方程在反射测量成像方案的制定中起着基本作用,例如在地震勘探和探地雷达中。在本文中,我们回顾了电磁单向波场(包括耗散)的理论,并推导了这些单向波场的互易定理。首先,我们考虑二维介质的特殊情况,其中介质参数仅在横向方向上变化。接下来,我们对二维非均匀介质的理论进行概括。对于后一种情况,我们导出了卷积类型和相关类型的单向互易定理。这些互易定理分别适用于正向和逆向问题。

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