We derive a new asymptotic procedure for the analysis of scalar wave diffraction by semi-infinite circular cones and apply it to derive a new closed-form expression for the tip-diffracted field in the wide-angle limit. The wide-angle cone is important, for example, for terrain or urban propagation. The phenomenological complexity of the wide-angle cone case, compared with the narrow-angle cone that has been solved in the past, is due to the profound role of the interplay between the tip diffraction and the geometrical optics reflections. The new formulation significantly simplifies the calculations and provides a cogent physical interpretation for the scattered field. The results are validated against the exact conical-harmonics solution.

中文翻译：

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广角锥的衍射系数

我们推导出了一种新的渐近程序，用于分析半无限圆锥的标量波衍射，并将其应用于广角极限内尖端衍射场的新闭式表达式。广角锥很重要，例如，对于地形或城市传播。与过去已解决的窄角锥相比，广角锥情况的现象学复杂性是由于尖端衍射和几何光学反射之间相互作用的深刻作用。新公式显着简化了计算，并为散射场提供了有说服力的物理解释。结果针对精确的圆锥谐波解决方案进行了验证。