分形天线是分形几何和天线技术交叉的产物,分形概念用于天线阵的工程合成,有助于将等幅度面阵和随机面阵的优点结合起来,将分形的自相似特征用于随机面阵设计有助于控制旁瓣区域的天线方向图。基于维尔斯特拉斯(Weierstrass)广义函数,研究天线阵排列系数函数的连续和不可微分的特性,通过对天线阵的分形电动力学和天线阵可实现性条件的研究分析,给出天线阵合成示例,得到Weierstrass不同尺寸天线阵的辐射特性与分形因子的作用关系。指出雷达天线阵列在结构、频带、副瓣等方面需要进行改进。

As a hybrid of fractal geometry and antenna technologies,the fractal array is capable of making use of the advantages of equiamplitude and random arrays.The application of the self-similar characteristics of fractal arrays in the design of random arrays facilites the control of the antenna pattern within the side lobe region.Basing on the Weierstrass function,the continuity and undifferentable characteristics of the array permutation coefficient is studied.An example of realizing the array is given through the analysis of the fractal electrodynamics and the implementation conditions.The relationship between the radiation characteristics and the fractal factor of different sized arrays which incorporate the Weierstrass function is obtained.Finally,the research trends of radar arrays in terms of structure,band width,and side lobe are pointed out.

TN820