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海底为各向异性媒质时垂直时谐电偶极子产生的电场求解 被引量:2

Calculation of electric field produced by a horizontal dipole immersed in shallow sea with anisotropic seabed medium
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摘要 通过求解磁矢量势来求解分层媒质中时谐电偶极子产生的电磁场是一种十分方便和有效的方法,但是这种方法本质上只对各向同性媒质有用。基于傅立叶变换方法推导了海水/海底两层模型下海底为各向同性媒质时海水中垂直时谐电偶极子的电场公式,并利用所得到的电场公式对海底为各向同性媒质时垂直时谐电偶极子的磁矢量势公式进行了修正,使得修正后的磁矢量势能适用于海底为各向异性媒质时海水中电磁场的求解,并验证了修正后磁矢量势的正确性。最后,利用修正后的磁矢量势公式计算了海底垂直方向电导率取不同值时海水中的电场值。结果表明:水平方向电导率一定时,垂直方向电导率越大则电场三分量值越大。 Although it is a very convenient and effective method to acquire the electromagnetic fields produced by time-harmonic dipole in layered mediums by figuring out the magnetic vector-potential,this method is only useful for the isotropic mediums.Based on Fourier transformation,a new method was proposed to modificate the magnetic vector-potential formula obtained from the seabed isotropic medium.With the modificated formula,the electromagnetic fields can be figured out even when the seabed is anisotropic.Also,the modificated magnetic vector-potential formula was proved to be correct.Finally,the electric fields were calculated according to different vertical conductance by use of the modificated magnetic vector-potential formula.The result indicates that with the vertical conduc-tance increasing under the conditions of the changeless horizontal conductance,the intensity of the electric fields also increases.
出处 《海军工程大学学报》 CAS 北大核心 2011年第6期81-85,共5页 Journal of Naval University of Engineering
关键词 时谐电偶极子 磁矢量势 电场 各向异性媒质 time-harmonic electric dipole magnetic vector-potential electric field anisotropic medium
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