The interaction theory presented by Kagemoto and Yue (1986) significantly reduces the computational burden in the wave interaction problem of multiple surface-piercing bodies, particularly arrays of wave energy converters in recent years. Two essential operators of the theory are the so-called Diffraction Transfer Matrix and Radiation Characteristics. Many subsequent researchers (Goo and Yoshida, 1990; Flavià et al., 2018) have implemented the theory using the source distribution method in evaluating the two linear operators of a single unique geometry. However, nowadays, a great majority of boundary element method codes have been written by virtue of the hybrid source-dipole distribution method on account of its high accuracy. In this regard, the present work aims to introduce a full set of mathematical formulations, as well as a complete derivation process of evaluating the two operators based on the hybrid source-dipole distribution method. The proposed formulations are then applied to two benchmark geometries, as given by McNatt et al. (2015) and Flavià et al. (2018). Good agreement is found between the present results and those from the literature. Moreover, two alternative approaches to solve the diffraction problem have been compared to assess both their accuracy and efficiency. It is found that the two methods present similar levels of accuracy but very different computational burden.

Kagemoto 和Yue (1986) 提出的相互作用理论显着减少了多个表面穿刺体的波浪相互作用问题的计算负担，特别是近年来的波浪能转换器阵列。该理论的两个基本算子是所谓的衍射传递矩阵和辐射特性。许多后来的研究人员（Goo 和 Yoshida，1990 年；Flavia 等人，2018 年）在评估单个独特几何的两个线性算子时使用源分布方法实现了该理论。然而，目前绝大多数边界元法代码由于其精度高而采用混合源偶极分布法编写。在这方面，目前的工作旨在介绍一套完整的数学公式，以及基于混合源偶极子分布方法评估两个算子的完整推导过程。然后将提议的公式应用于两个基准几何，如 McNatt 等人所给出的。(2015) 和 Flavià 等人。(2018)。目前的结果与文献中的结果之间存在良好的一致性。此外，还比较了解决衍射问题的两种替代方法，以评估它们的准确性和效率。发现这两种方法表现出相似的准确度水平，但计算负担却大不相同。目前的结果与文献中的结果有很好的一致性。此外，还比较了解决衍射问题的两种替代方法，以评估它们的准确性和效率。发现这两种方法表现出相似的准确度水平，但计算负担却大不相同。目前的结果与文献中的结果有很好的一致性。此外，还比较了解决衍射问题的两种替代方法，以评估它们的准确性和效率。发现这两种方法表现出相似的准确度水平，但计算负担却大不相同。