The problem of axially symmetric TM wave diffraction from the finite, perfectly conducting bicone formed by a pair of finite cones of an arbitrary lengths and opening angles is considered. The problem is formulated in the spherical coordinate system as a mixed boundary value problem for the Helmholtz equation with respect to the unknown diffracted field. The solution of the problem is reduced to the two systems of infinite linear algebraic equations (ISLAE) of the second kind using the mode–matching technique and the analytical regularization procedure. The two different pairs of regularization operators are used for the reduction of each of the initial ISLAE of the first kind to the second one. The unknown expansion coefficients are determined from the ISLAE with the given accuracy by the reduction method. The simple low-frequency approximate solution is obtained. The numerically obtained results are focused on the diffraction from the finite bicone, which also is of practical value.

考虑了由一对任意长度和张角的有限锥体形成的有限、完美传导双锥体的轴对称 TM 波衍射问题。该问题在球坐标系中被表述为 Helmholtz 方程关于未知衍射场的混合边值问题。使用模式匹配技术和解析正则化程序，将问题的解简化为第二类无限线性代数方程 (ISLAE) 的两个系统。两对不同的正则化算子用于将第一种初始 ISLAE 中的每一种归约到第二种。未知膨胀系数由 ISLAE 以给定的精度通过缩减方法确定。得到简单的低频近似解。数值得到的结果集中在有限双锥的衍射上，这也具有实用价值。