嵌入导电介质中圆柱形微扰的缓和振荡近似核解：数值和渐近研究
Alleviating Oscillatory Approximate-Kernel Solutions for Cylindrical Antennas Embedded in a Conducting Medium: a Numerical and Asymptotic Study
摘要：
我们减轻不自然的振荡发生在电流分布沿线性圆柱形天线中心驱动的三角函数发生器和嵌入在导电介质中。对于无限长（或有限长）的圆柱形偶极子，强烈波动的电流作为天线理论的经典积分方程的小$z_0$渐近（或数值）解出现，其中$z_0$是离散长度。为了减轻振荡，我们采用了适当的有效电流进一步最近的补救措施的振荡实现了一个完美的导电线性圆柱形天线的有限长度的情况下，周围介质是自由空间。我们推导出渐近公式的无限天线进行数值测试，并指出的物理意义的有效电流超越了单纯的计算设备。
英文摘要：
We alleviate the unnatural oscillations occurring in the current distribution along a linear cylindrical antenna center-driven by a delta-function generator and embedded in a conducting medium. The intensely fluctuating current arises as a small-$z_0$ asymptotic (or numerical) solution of the classical integral equations of antenna theory, for a cylindrical dipole of infinite (or finite) length, where $z_0$ is the discretization length. To alleviate the oscillations, we employ an appropriate effective current further to the recent remedy of oscillations attained for a perfectly conducting linear cylindrical antenna of finite length for the case where the surrounding medium is free space. We derive asymptotic formulas for the infinite antenna which are put to numerical test, and point to the physical significance of the effective current which transcends a mere computational device.
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