Low Frequency Fields Excited by a Horizontal Magnetic Dipole Near Boundary of lossy Half-Space
In this paper,based on the model of a horizontal magnetic dipole located near the boundary of a lossy half-space,a set of expressions of the electromagnetic field consist of integrals of the Sommerfeld type has been derived firstly.Under the conditions of k0ρ(<<)1,z/ρ(<<)1,h/ρ(<<)1,the terms of higher order k0/k1could be neglected.Thus the integral expressions are simplified into a set of analytical formulas.When the horizontal distance ρ between the observer and the source dipole is less than 0.1 times of the skin depth δ of the lossy media,the magnetic field of the observer may be considered as quasi-static field.Our analytical formulas coincide with the formulas proposed by National Bureau of Standards(NBS).Whenρ/δ>10,the surface of lossy media may be considered as an ideal reflecting plane,so the horizontal magnetic field near the surface consists of the direct wave and the reflected wave.The field is two times the amplitude of that calculated with NBSs formula.When 0.1<ρ/δ<10,the field of the observer both depends on the frequency and the conductivity of the lossy media.The amplitudes of the magnetic field calculated by our analytical formulas coincide with the numerical results from Sommerfeld integral.
low frequency horizontal magnetic dipole near the boundary a lossy half-space
Huai-Yun Peng Yu Chen Yuan-Xin Wang Shi-Tian Zhang Yun-Zhi Mao
National Key Laboratory of Electromagnetic Environment Qingdao,China
国际会议
杭州
英文
1-4
2018-12-03（万方平台首次上网日期，不代表论文的发表时间）