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Field of a short dipole above a dielectric half-space with rough interface

机译：介电半空间上方具有粗糙界面的短偶极子的场

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The accurate prediction of radiowave coverage at high frequency-ultra high frequency over irregular terrain features is of importance in the design and development of low-cost and low-power communication systems. This study studies the problem of electromagnetic wave propagation, excited by a short dipole, above a dielectric ground plane with an arbitrary dielectric profile and an irregular interface. This investigation is a natural extension of the classical Sommerfeld problem with the exception of the random surface irregularities at the interface between the two dielectric media. It is assumed that the interface profile height variations are small compared with the wavelength. First, the bistatic scattering of a plane wave illuminating the rough surface is solved using a perturbation solution of an integral equation for the induced polarisation current. Analytical expressions for the coherent field and incoherent scattered power at an arbitrary observation point are obtained. Then, the solutions for the coherent and incoherent scattered power generated by a small dipole of arbitrary orientation and position are derived by expanding the field of the dipole in terms of a continuous spectrum of plane waves and using superposition. The effects of the rough interface on the surface waves and on depolarisation are studied.
机译：在低成本和低功率通信系统的设计和开发中，准确预测不规则地形特征上的高频-高频下的无线电波覆盖范围非常重要。这项研究研究了由短偶极子激发的电磁波传播问题，该电磁波在具有任意电介质轮廓和不规则界面的电介质接地层上方传播。这项研究是对经典Sommerfeld问题的自然扩展，除了两种介电介质之间的界面处的随机表面不规则性。假设界面轮廓高度变化与波长相比较小。首先，使用感应极化电流的积分方程的摄动解来解决照亮粗糙表面的平面波的双基地散射。获得了在任意观察点的相干场和非相干散射功率的解析表达式。然后，通过根据平面波的连续频谱扩展偶极子的场并使用叠加，来求出由任意方向和位置的小偶极子产生的相干和非相干散射功率的解。研究了粗糙界面对表面波和去极化的影响。

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