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从几何学原理出发,对电磁波在尖劈吸波体中由于尖劈表面反射所造成电磁波强度的衰减进行了严格的理论推导。首先在二维空间平面内考虑问题,确定出反射次数与射向角、尖劈顶角的关系,得到二维平面内反射时下一次入射波线与反射面的夹角。然后利用直角四面体三个相邻角之间存在的余弦关系,将问题由二维扩展到三维空间,求出每次反射后的下一次三维空间内的入射角,利用余弦法则,得到最后出射波线的辐射强度和出射方向。在理论分析的基础上,分别对射向角和尖劈顶角取不同数据进行对比计算,发现虽然对某些特定角度入射的电磁波,在尖劈顶角较大时可能衰减更多,但从总体上来讲,尖劈顶角越小,电磁波反射的次数越多,相应的出射波线强度较小,所以当我们对吸波性能要求较高时,可以降低尖劈顶角的取值。这对于以后定量计算尖劈吸波体的吸波性能,具有重要的意义。
Based on the principle of geometry, a rigorous theoretical derivation of the attenuation of the electromagnetic wave intensity caused by the reflection of the wedge surface on the surface of the electromagnetic wave in the wedge is carried out. First consider the problem in the two-dimensional space plane to determine the relationship between the number of reflections and the angle of incidence, wedge tip angle, get the angle between the next incident wave and the reflecting surface in the two-dimensional plane reflection. Then, using the cosine relation existing in the three adjacent angles of the tetrahedron, the problem is expanded from two-dimensional to three-dimensional space, and the incident angle in the next three-dimensional space after each reflection is obtained. Finally, the cosine rule is used to obtain the final exit Wave radiation intensity and exit direction. On the basis of theoretical analysis, the different data of different angles and wedged apices are calculated and compared respectively. It is found that although the electromagnetic waves incident on some specific angles may attenuate more when the wedge angle is larger, Generally speaking, the smaller the angle of the wedge, the more the electromagnetic wave is reflected, the smaller the intensity of the outgoing wave is. Therefore, when we have higher requirements for the absorbing performance, the value of the wedge angle can be reduced. This is of great significance to quantitatively calculate the absorbing performance of the wedge-shaped absorber.