A three-dimensional layered and isotropic medium is excited by primary spherical waves due to $N$ magnetic dipoles radiating inside or outside the medium. Interaction scattering cross sections (ISCS) are defined as the differences between the overall scattering cross section and the sum of the individual cross sections generated by all dipoles within a layer or by all $N$ dipoles. Optical theorems and physical bounds for the ISCS are established. Extensive numerical investigations are performed for the variations of the ISCS and their physical bounds with respect to the geometrical and physical characteristics of the layered medium. Conditions for which ISCS contribute significantly in the overall cross section are analyzed. It is also demonstrated that the number of excitation layers and the total number $N$ of dipoles can be determined by means of the individual scattering cross sections.

中文翻译：

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三维层状介质多偶极子激发的相互作用散射截面及其物理界线分析

三维层状各向同性的介质由主球形波激发，原因是 $ N $ 在介质内部或外部辐射的磁偶极子。相互作用散射截面（ISCS）定义为总散射截面与一层内所有偶极子或所有层产生的单个截面之和之间的差 $ N $ 偶极子。建立了ISCS的光学定理和物理界限。针对分层介质的几何和物理特性，对ISCS及其物理范围的变化进行了广泛的数值研究。分析了ISCS在整个横截面中起重要作用的条件。还证明了激发层的数量和总数 $ N $ 偶极子的分布可以通过各个散射截面来确定。