垂直电偶极子在地-电离层波导中场的球级数解

在非理想导电地面与电离层条件下,我们导出了ELF/SLF垂直电偶极子在球形地-电离层壳体中产生的电磁场的球谐级数表达式,采用一种加速收敛算法,算出了波导中的电磁场分布.根据计算结果,在SLF频段,地面与电离层之间的电磁场可理解为二个"行波"的叠加,且与SLF频段的球面二阶近似算法计算结果吻合很好.在ELF频段,壳体中的电磁场是驻波,其频率变化规律能正确反映出"舒曼"谐振现象.     

SLF/ELF垂直电偶极子在理想导电地-电离层中的场

在理想导电地面与电离层条件下,我们导出了SLF/ELF垂直电偶极子在球形地-电离层壳体中产生的电磁场的球谐级数表达式,并提出了一种加速收敛算法。利用此算法分别算出了电场分量随传播距离、高度及工作频率的变化,所得计算结果与Barrick方法所得结果基本吻合。由于地面和电离层没有吸收损耗,地面与电离层之间产生的场是＂驻波＂,在ELF频段,其频率变化规律能正确反映出＂舒曼＂谐振现象。     

地下ELF线天线在地-电离层壳体中产生的场

为了研究地震产生的机理,需要分析和研究地下任意ELF线天线在地-电离层壳体中产生的电磁场。地下任意ELF线天线产生的电磁场可由地下ELF点源产生的电磁场进行叠加。首先导出了地下ELF点源在地-电离层壳体中产生的电磁场表达式,然后得到了地下任意ELF线天线在地-电离层壳体中产生的电磁场的表达式。分别讨论了地下单条和两条ELF线天线在地面上产生电磁场的场强空间分布图,用色标表示了场强值在空间分布的强弱。电磁场的水平分量在地面上产生电磁场的场强值要比垂直分量产生的场强值大,单条线天线在地面上产生电磁场的场强值要比两条线天线产生的场强值小。     

地基ELF线天线在地-电离层壳体中产生的场

为了研究地震产生的机理, 需要分析和研究地基极低频(Extreme-Low Frequency, ELF)电磁波的传播特性.地基任意ELF线天线产生的电磁场可由ELF点源产生的电磁场进行叠加.通过地基ELF点源电磁场的表达式导出了ELF线天线在地-电离层壳体中电磁场的表达式.利用加速收敛算法得到了单条和两条ELF线天线产生电磁场的场强空间分布图, 用色标表示场强值在空间分布的强弱.电场水平分量的场强值要比垂直分量的场强值小, 磁场水平分量的场强值要比垂直分量的场强值大.而且两条线天线产生的场强值要比单条线天线产生的场强值大.     

SLF/ELF水平电偶极子在地-电离层波导中的场

在非理想导电地面与电离层条件下,导出了SLF/ELF水平电偶极子在球形地-电离层壳体中产生的电磁场的球谐级数表达式,采用一种加速收敛算法,算出了波导中的电磁场分布.根据计算结果,在SLF频段,地面与电离层之间的电磁场可理解为两个"行波"的叠加,且与SLF频段的球面二阶近似算法计算结果吻合很好.在ELF频段,壳体中的电磁场是驻波,其频率变化规律能正确反映出"舒曼"谐振现象.     

地下SLF/ELF水平电偶极子在球形地-电离层中产生的场

在非理想导电地面与电离层条件下,导出了地下SLF/ELF水平电偶极子在地上、地下及电离层中产生的电磁场的球谐级数表达式.并提出了一种加速收敛算法,算出了大气层及电离层中的电磁场分布.计算结果表明:地下几十公里的水平电偶极子产生的场除了增加了一个固定衰减外,与地面上的水平电偶极子产生的场分布完全相似,它产生的电磁场可理解为电波首先垂直地透过土壤,然后在地一电离层腔体中传播.在SLF频段,地一电离层空腔中的电磁场可理解为两个"行波"的叠加.在ELF频段,空腔中的电磁场是驻波,其频率变化规律能正确反映出"舒曼"谐振现象.     

FDTD模拟SLF\ELF水平电偶极子在非均匀地-电离层波导中的场

在SLF/ELF频段,已有的解析算法对于研究其在非均匀电离层模型下的电磁特性有很大的局限性。采用三维球坐标时域有限差分方法(FDTD)计算了非均匀电离层模型下(考虑电离层白天和黑夜不对称),水平电偶极子产生的SLF/ELF波在球形地-电离层腔体中的传播特性。计算了电场分量和磁场分量沿地面随传播距离的变化,以及随方位角的变化。和均匀电离层模型对比,非均匀电离层模型的计算结果更具有实际意义。     

地震ELF/SLF辐射源在地面及电离层中产生的场

针对地震电磁辐射与传播,将地下辐射源理想化为水平ELF/SLF电偶极子,传播介质理想化为地层-大气层-电离层三层平面分层介质,其中地层和电离层都看作均匀有耗介质.在此物理模型下,导出了电磁场在大气层和电离层中的积分表达式,更由留数定理得出了电磁场的级数表达式.计算结果表明:ELF/SLF电波从辐射源出发后,首先以最短的垂直向上路径渗透出地层进入大气层,然后在地-电离层波导中以若干个"波模"叠加的方式向外传播到达大气层中的接收点,并进一步渗透电离层被卫星上的接收点接收.     

短波天波场强数据处理方法研究

针对在短波天波信道中受电离层快衰落影响的场强数据处理问题,提出采用GM（1,1）模型粗大误差判别算法,剔除由电离层快衰落影响而突变的数据,提高数据处理的精度。在Matlab中对短波天波场强典型数据进行处理,利用模糊估计方法计算数据处理前和处理后的瑞利分布,结果表明GM（1,1）粗大误差判别算法能很好地剔除受电离层快衰落影响而突变的数据,具有较好的判别精度,此方法已在装备场强测量中得到应用。     

电离层中ELF辐射源向下传播衰减理论分析

利用大功率高频（HF）电波调制加热电离层可在电离层中有效形成辐射源,并用于辐射ELF电磁波.本文基于磁流体力学的基本方程通过对电离层中极低频（ELF）辐射源的辐射场分析,获得ELF电磁波在电离层中传播的色散关系式,建立电离层中的ELF辐射源向下传播衰减模型.并依据建立的传播衰减模型,分析不同纬度地区传播衰减的差异,以及传输频率和背景电离层参数对传播衰减的影响.     

Some notes on ELF Earth-ionosphere waveguide daytime propagation parameters

The transverse-electromagnetic (TEM) propagation constants for extremely low frequency (ELF) daytime propagation in the earth-ionosphere waveguide have been calculated for frequencies of 5-2000 Hz. The recently developed theory of Greifinger and Greifinger and the Wait very low frequency (VLF) exponential ionospheric-conductivity profile have been used in the analysis. It is shown that the resulting values of ELF attenuation rate, phase velocity, and ionospheric-reflection height are in excellent agreement with the measured data.     

Steerable ELF/VLF radiation produced by an array of ionospheric dipoles generated from HF heating

A very low frequency (VLF) or extremely low frequency (ELF) dipole source has been created within the lower ionosphere by modulating the atmospheric dynamo currents with a ground-based high power HF source from the Arecibo Observatory. The authors and their colleagues have demonstrated that ELF or VLF generated in this way and injected into the earth-ionosphere waveguide could be received a few thousand kilometers away. The injection properties due to an array of ionospheric dipoles as a function of array geometry and element currents that will allow steerable ELF/VLF radiation within the earth-ionosphere waveguide are investigated theoretically. The ionospheric array factors for a linear and a planar array of Hertzian dipole sources are developed and their properties examined. The principle of pattern multiplication is then applied to include the effect of the ionospheric array element. This provides a means for predicting the field strengths at a remote receiving site due to a steerable linear or planar array of ionospheric sources generated by high power HF periodic plasma heating.     

地层各向异性对极低频水平低架天线的影响

讨论了当极低频水平低架天线场地周围的地层导电率呈现各向异性时对水平低架天线方向性和发射效率的影响.分析了导电率各向异性条件下的地层表面阻抗,导出了极低频电波在地-电离层波导中传播的模方程,给出了典型条件下各向异性的导电率参数对TM0波模在各个方向上的相速和衰减率影响的规律及导电率各向异性和各向同性情况下天线方向图的比较,得出了各向异性的导电率对天线方向图和发射效率有较大影响.对设计极低频天线及其工程建设具有理论指导意义.     

The Radiation of Extremely Low Frequency (ELF) Waves

The excitation of extremely low frequency (ELF) waves by a horizontal electric dipole in the earth-ionosphere waveguide can be obtained by a heuristic approach based upon the observation of a relationship between a horizontal electric dipole and a horizontal magnetic dipole. Then multiple imaging takes into account the effect of the ionosphere. This approximate derivation preserves the physical picture which is obscured by complex mathematics in rigorous analysis.     

Fast Convergence Algorithm for Earthquake Prediction Using Electromagnetic Fields Excited by SLF/ELF Horizontal Magnetic Dipole and Schumann Resonance

In order to estimate where the electromagnetic radiation associated with the seismic activity comes from, the propagation characteristics of the SLF/ELF electromagnetic waves on the ground should also be studied. The radiation source may also be modeled as a horizontal magnetic dipole (HMD), and it is precisely calculated by using a speeding numerical convergence algorithm. A theoretical calculation of the VLF/SLF electric wave propagating among the Earth-ionosphere cavity generally utilizes the full wave method to solve the model equation. The field in the cavity is comprehended as the sum of each wave mode. However, this method is very complex, and unsuitable to the ELF frequency band. To solve the problems under the non-ideal electric conductor condition, we have further developed Barrick’s method. The approach we employ below subtracts and adds appropriate identical terms to the original exact series. The subtraction accelerates significantly its numerical convergence. The added terms sum to simple closed-form expressions. The spherical harmonic series expressions of electromagnetic fields excited by SLF/ELF HMD in non-ideal Earth-ionosphere cavity have been derived. The speed of our algorithm is faster twenty eight times than it of calculating directly the sum of the series. If it calculates directly the sum of the series, it needs 1,200 series items and takes 17 min, while it needs only 300 series items and takes 0.6 min. Moreover, under the ideal electric conductor condition, we have verified the correct of our algorithm that the result coincides with that of Barrick’s method. Schumann resonance is also verified.     

Aperture Excitation of a Wire in a Rectangular Cavity

The problem of determining the currents excited on a wire enclosed within a rectangular cavity is considered. The wire and cavity interior are excited by electromagnetic sources exterior to the cavity which couple to the cavity interior through a small aperture in the cavity wall. It is assumed that the wire is thin, straight, and oriented perpendicular to one of the cavity walls. An integral equation is formulated for the problem in the frequency domain using equivalent dipole moments to approximate the effects of the aperture. This integral equation is then solved numerically by the method of moments. The dyadic Green's function for this problem are difficult to compute numerically; consequently, extensive numerical analysis is necessary to render the solution tractable. SampIe numerical results are presented for representative configurations of cavity, wire, and aperture.