As vector wavefunctions are available to represent incident and scattered fields in an isotropic dielectric-magnetic medium endowed with magnetoelectric gyrotropy, a transition matrix can be conceptualized to relate the scattered field coefficients to the incident field coefficients for scattering by an arbitrary scatterer composed of a linear medium. The elements of the transition matrix must satisfy certain conditions for zero backscattering. For a scatterer composed of a uniaxial dielectric-magnetic medium endowed with magnetoelectric gyrotropy, the extended boundary condition method (EBCM) can be formulated to determine the transition matrix. The numerical results obtained thereby lead to the formulation of a sufficient set of three zero-backscattering conditions: (i) the scatterer is a body of revolution with the incident plane wave propagating along the axis of revolution; (ii) the impedances of both mediums are identical; and (iii) the magnetoelectric-gyrotropy vectors of both mediums are aligned along the axis of revolution, whether or not both magnetoelectric-gyrotropy vectors are co-parallel.

中文翻译：

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具有磁电回旋性的单轴介电-磁性散射体实现零背向散射的充分条件

由于矢量波函数可用于表示具有磁电回旋性的各向同性介电-磁性介质中的入射场和散射场，因此可以将转换矩阵概念化为将散射场系数与入射场系数相关联，以便由由线性组成的任意散射体进行散射。中等的。转移矩阵的元素必须满足零背向散射的某些条件。对于由具有磁电回旋性的单轴介电介质组成的散射体，可以制定扩展边界条件方法 (EBCM) 来确定过渡矩阵。由此获得的数值结果导致了一组充分的三个零背向散射条件的公式化：(i) 散射体是一个旋转体，入射平面波沿旋转轴传播；(ii) 两种介质的阻抗相同；(iii) 两种介质的磁电-回旋矢量都沿旋转轴对齐，无论这两个磁电-回旋矢量是否共平行。