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| 1 | Accurate location of all surface wave modes for Green's functions of a layered medium by consecutive perturbations显示文摘In this paper, an efficient method is proposed to quickly and accurately locate all the surface wave modes of spectral Green's functions of a layered medium. This method consists of two parts. In the first part, all the surface wave poles without considering the medium loss are located by a modified dichotomy on the real axis in the complex plane. In the second part, consecutive perturbations with respect to the medium loss are performed, which means that the medium loss is increased step by step from zero to the given value, and at each step, the Newton-Raphson algorithm is employed to find all the current poles, with the poles at the previous step as initial values. The residues of the surface wave poles are analytically calculated without any contour integral. The whole procedure is based on the recursively rational forms of spectral Green's functions. As an application, all the surface wave poles and their residues obtained by the method proposed in this paper are applied in evaluation of the spatial Green's functions by the discrete complex image method. Some numerical examples are provided to validate the correctness and efficiency of the proposed method. | SONG Zhe ZHOU HouXing HU Jun LI WeiDong HONG Wei | 2010 | Science China(Information Sciences)2010，53，11： | 1 |
| 2 | 三层媒质二维谱域Green函数的路径追踪算法显示文摘为了搜索三层媒质二维谱域Green函数中的全部模式极点,提出了一种路径追踪算法.该算法首先利用数学变换,将三层媒质二维谱域Green函数的特征方程替换为复平面上的4个超越方程;然后,应用路径追踪法和Newton-Raphson迭代法求解各超越方程的根,得到谱域Green函数的全部模式极点,即表面波极点、漏波极点和反常极点.该算法克服了围线积分法中积分路径穿过分支割线进入不同Riemann面时容易造成失根的缺点,可应用于离散复镜像方法和最陡下降路径积分法中,以实现三层媒质二维空域Green函数近场和远场的精确、快速计算.最后,利用数值算例验证了该算法的正确性和有效性. | 牟星 周后型 胡俊 洪伟 | 2010 | 东南大学学报(自然科学版)2010，40，5： | 0 |
| 3 | 一种新的自适应宽带扫频方法及其在分层微带结构全波分析中的应用显示文摘本文基于分层媒质空域并矢Green函数的精确、快速计算,结合混合位积分方程的矩量法模型,建立了一种自适应的分层微带无源电路宽带扫频算法.该算法以目标频段内Chebyshev多项式零点为频率样点建立插值机制,其插值矩阵的相对误差通过矩阵Frobenius范数给予定义,并由此作为自适应机制的判敛依据.实验表明,以频率区间内的Chebyshev多项式零点作插值节点,相比于等间距样点,拥有更低和更平稳的误差表现.该方法在无需任何先验条件的情况下,通过自适应反馈系统可以精确、快速地求得宽带微波无源电路的全波分析结果.根据大量统计数据,本文还定量地给出了该算法在数值精度和计算效率之间的权衡关系. | 宋喆 吴仕飞 李卫东 张彦 | 2017 | 中国科学:信息科学2017，47，7： | 0 |
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