摘要
分形是通过迭代产生的具有自相似性的分数维结构,分形的概念可用于天线设计以实现天线的尺寸减缩与多频特性,这在军用和民用方面有着广泛应用前景。本文介绍了分形的基本概念和分形结构的迭代算法。对于分形微带天线结构使用基于矩量法的ADS商业软件的电磁仿真工具Momentum进行了分析研究。首先用微带馈电的单层微带贴片天线进行仿真和验证。在此基础上,着重分析了微带线耦合馈电的Sierpinski等边三角形微带分形贴片天线以及Sierpinski方形微带分形贴片天线的多频特性,给出了介质参数、贴片尺寸、分形的阶数以及减少分形贴片数对微带线耦合馈电的Sierpinki等边三角和Sierpinski方形微带分形贴片天线特性的影响;其次基于微带线耦合馈电的半圆双频微带贴片天线和矩形双频微带贴片天线的性能分析和比较,提供了尺寸缩减的依据;最后对以上天线的频带扩展进行了探论。
A 'fractal' is a recursively generated structure having a fractional dimension and self-similarity property. The concept of a 'fractal' has been applied to antenna design in order to reduce the size of antenna and obtain multi-band frequency operation. Fractal antennas have broad application prospect in military and civil application.
In this thesis, the concept of 'fractal' and the recursive algorithm of fractal structure are depicted. For the case of microstrip fractal patch antenna structure, the MoM based EM tool Momentum of commercial software ADS is used for analysis and research. Firstly a microstrip-fed microstrip patch antenna has been emulated and validated. On the base of this, the multi-band property of Sierpinski equilateral triangle and squareness microstrip fractal patch antennas are carefully studied, and the effect of antenna's property by the permittivity, the size of patch, the order of the fractal and the decrease of fractal patches is depicted; secondly on the base of analysis and comparison of performance of microstrip-fed semicircle and rectangle double-band microstrip patch antennas, warranty of dimension curtailment is offered; finally expansion of band of those antennas above is discussed.
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