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首页> 外文会议>IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity Jul 16-20, 2000 Manchester, United Kingdom >DIFFRACTION OF CREEPING WAVES BY CONICAL POINTS
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DIFFRACTION OF CREEPING WAVES BY CONICAL POINTS

机译：锥形点对蠕变波的衍射

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摘要

We briefly review our recent results on evaluation of the diffracted wave for electromagnetic creeping waves scattered by a conical point at a perfectly conducting surface. The theory uses matched asymptotic expansions and the reciprocity principle, and reduces the problem to the need to evaluate the "canonical" conical diffraction coefficients at the boundary. The latter is a special case of the theory developed and implemented by us before. Additional technical difficulty comes from the need to evaluate the diffraction coefficients at the boundary which within the application of our "spherical" boundary integral equation method leads to the need to evaluate appropriate singular integrals. The latter was resolved using the Discrete Fourier Transform and the whole strategy has been implemented numerically. We report sample numerical results demonstrating convergence of the algorithm.
机译：我们简要回顾一下我们最近的结果，该结果评估了在理想导电表面上锥形点散射的电磁蠕变波的衍射波。该理论使用匹配的渐近展开和互易原理，将问题简化为需要评估边界处的“规范”圆锥形衍射系数。后者是我们之前开发和实施的理论的特例。另一个技术难题来自需要评估边界处的衍射系数，这在我们的“球面”边界积分方程方法的应用中导致需要评估适当的奇异积分。后者是使用离散傅立叶变换解决的，整个策略已通过数字实现。我们报告样本数值结果，证明了算法的收敛性。

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