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Synthesis of planar continuous current sources with arbitrary shapes for generation of desired radiation patterns by methods of moments and least squares

机译:用矩形和最小二乘法产生所需辐射图的任意形状的平面连续电流源的合成

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摘要

Synthesis of planar continuous current sources (planar CCSs) with arbitrary shapes is developed for the generation of specified radiation patterns by method of moments (MoM) and method of least squares (MLS). First, an integral equation is expressed, which relates planar CCS current distribution to its radiation pattern. Second, the planar CCS region is divided into several segments and its current distribution is expressed in terms of the pulse expansion functions to discretise the integral equation. Third, the resulting discretised integral equation is converted to a linear equations system by MoM and MLS. Fourth, the resulting linear equations system is solved to determine unknown coefficients of planar CCS current distribution. To evaluate and compare the efficacy of proposed methods, two parameters of synthesis error (SE) and superdirectivity ratio (SR) are used. It is shown that the number of segments should be properly determined to achieve specified SE and SR. If resulting radiation pattern does not meet design goal, a perturbation procedure is applied to current distribution in order to improve the characteristics of radiation patterns of the planar CCS, such as side-lobe level and pattern ripple. Several examples are given to validate the efficacy of the proposed methods.
机译:通过矩(MOM)的方法(MOM)和最小二乘法(MLS)的方法,开发了具有任意形状的平面连续电流源(平面CCS)的平面连续电流源(平面CCS)和最小二乘法(MLS)的方法。首先,表示整体方程,其将平面CCS电流分布与其辐射图案相关联。其次,平面CCS区域被划分为若干段,并且其电流分布以脉冲扩展功能表示为离散式方程。第三,由MOM和MLS将产生的离散的积分方程转换为线性方程系统。第四,解决了所得到的线性方程系统以确定平面CCS电流分布的未知系数。为了评估和比较所提出的方法的功效,使用两个合成误差(SE)和超导率(SR)的参数。结果表明,应适当确定段的数量以实现指定的SE和SR。如果产生的辐射模式不符合设计目标,则将扰动过程应用于电流分布,以便改善平面CC的辐射图案的特性,例如侧瓣级和图案纹波。给出了几个例子来验证所提出的方法的功效。

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