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首页> 外文会议>Japan-China Joint Meeting on Optical Fiber Science and Electromagnetic Theory >METHOD OF EDGE AND CORNER CATASTROPHES FOR UNIFORM ASYMPTOTIC DESCRIPTION OF EM WAVES SCATTERING AND DIFFRACTION BY BOUNDARIES OF COMPLEX FORM
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METHOD OF EDGE AND CORNER CATASTROPHES FOR UNIFORM ASYMPTOTIC DESCRIPTION OF EM WAVES SCATTERING AND DIFFRACTION BY BOUNDARIES OF COMPLEX FORM

机译：用于均匀渐近描述的边缘和角落灾难的方法，复合形式边界散射和衍射

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摘要

In asymptotic description of diffraction of EM waves scattered by tight bodies with edges, one has to appeal to the edge and corner catastrophes theory [1]. It enables to represent the process of diffraction by screens with irregular edges as a superposition of elementary diffraction acts and to express the diffraction field in each act in the form of fast oscillatory integrals - the special functions of wave catastrophes (SWC). The certain type of integral corresponds to definite type of edge or corner catastrophe. In turn the type of catastrophe is uniquely defined by the focusing type of primary field falling upon the target and by the focusing type of secondary fieldes emited by the edges of the target. In homogeneous medium the focusing type of primary field is determined by the behaviour of the wave front and the focusing type of edge wave in addition depends on the curvature of edge. In this case the corner points or the points of edge smoothness disturbance generate divergent waves. There is more complicated situation in inhomogeneous medium, namely the rays congruences associated with corner point may have caustics.
机译：在由边缘的紧身体散射的EM波衍射的渐近描述中，一个人必须吸引边缘和角落灾难理论[1]。它能够通过具有不规则边缘的屏幕代表衍射的衍射过程，作为基本衍射的叠加作用，并且以快速振荡积分的形式表达各自的作用中的衍射场 - 波灾难（SWC）的特殊功能。某些类型的积分对应于明确的边缘或角落灾难。反过来，灾难类型由落在目标上的主要场的聚焦类型以及由目标边缘所赋予的次要近场的聚焦类型的聚焦类型独特地定义。在均匀介质中，主要场的聚焦类型由波前的行为和指向型的边缘的特征决定取决于边缘的曲率。在这种情况下，角点或边缘平滑度干扰产生发散波。在不均匀介质中存在更复杂的情况，即与角点相关的光线同时可以具有焦散。

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