Field of a horizontal magnetic dipole in the presence of a magnetoplasma halfspace

G. Tyras, A. Ishimaru, H. Swarm
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Abstract

In the present paper we consider the problem of a horizontal magnetic dipole situated in or out of a lossy magnetoplasma halfspace when the magnetostatic field is parallel to the axis of the dipole. The rigorous formulation of the problem is carried to the point where the determination of the pertinent boundary coefficients remains to be a straightforward but not a simple algebraic process. Due to the prohibitive algebraic complexity involved in the explicit finding of the boundary coefficients, a high frequency approximation is intro duced and the approximate form of t he boundary coefficients fou nd. The field integrals are evaluated in t he air region for the condition when the observation point is at a large distance from the source. The results are applied to finding the radiation pattern in the air due to a magnetic dipole situated ncar t he lower edge of the ionosphere. It is found that the most important correction due to t he earth's magnetic field occu rs near the interface and parallel to t he axis of the dipole.
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在磁等离子体半空间中水平磁偶极子的场
本文研究了当静磁场平行于磁偶极子轴线时,在有耗磁等离子体半空间内或半空间外的水平磁偶极子问题。这一问题的严格表述已达到这样的程度,即有关边界系数的确定仍然是一个直截了当而不是一个简单的代数过程。由于边界系数的显式计算涉及到令人望而却步的代数复杂性,因此引入了高频近似,并找到了边界系数的近似形式。当观测点离震源较远时,在空气区求场积分。结果应用于寻找由于位于电离层下缘的磁偶极子在空气中的辐射模式。我们发现,由于地球磁场的最重要的修正发生在与偶极子轴线平行的界面附近。
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