The High-Frequency Diffraction of Electromagnetic Waves by Cones of Arbitrary Cross Sections
The High-Frequency Diffraction of Electromagnetic Waves by Cones of Arbitrary Cross Sections
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任意截面锥体对电磁波的高频衍射
DOI：
10.1137/0153034
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
V. Smyshlyaev
中科院分区：
文献类型：
--
作者：
V. Smyshlyaev
研究了平面偏振波经任意截面的完全导电锥的衍射问题。利用Debye标量势和Sommerfeld变换，以标准相位和单位球子域N上的函数为振幅的Sommerfeld积分的形式构造了精确解。利用固定相位法和振幅分析的奇点传播相结合的方法研究了高频近似下的索默菲尔德积分，得到了对衍射过程较为完整的描述。用N上的贝尔特拉米-拉普拉斯算子的谱特征，得到了圆锥顶点衍射的球面出射波振幅的表达式。
The problem of diffraction of a plane polarized wave by perfectly conducting cones of arbitrary cross sections is considered. Using the Debye scalar potentials and the Sommerfeld transformation, the exact solution is constructed in the form of Sommerfeld’s integrals with the standard phase and the functions on subdomain N of the unit sphere as amplitudes. By investigating Sommerfeld’s integrals in a high-frequency approximation using the combination of the stationary phase method and the propagation of singularities of the amplitude analysis, a rather complete description of diffraction processes is obtained. The, formulae for the amplitude of the spherical outgoing wave diffracted by the cone’s vertex are obtained in terms of spectral characteristics of the Beltrami–Laplace operator on N Examples are considered to illustrate the proposed approach.