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《Chinese Journal of Geophysics》 1988-06
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THE CONTINUATION OF ELECTROMAGNETIC FIELDS IN A CLASS OF NON-HOMOGENEOUS MEDIUM

LUAN WEN-GUI(Computing Center, Acadcmla Sinica, Beijing)  
In this paper, we discuss some mathematical physics problems and stabilized algorithm principle on the continuation of electromagnetic fields in non-homogeneous medium with vertical smoothing variance. At first, a partial differential equation of the second order satisfying the vertical component of the magnetic field under the vertical non-homogeneous medium is derived, starting off with fundamental equation of electromagnetic fields, and the continuation problem of the field is reduced to solving the Cauchy problem for the corresponding elliptic equation of the second order, according to practical background. Then the formal expression for the field continuation is obtained by the method of the Fourier transform, and the precise analytic formulas for the field continuation under a number of special non-homogeneous medium are given. Finally, using the regularization method, the stabilizated formula for the field continuation is established, the discretization form of resulting formula is given, and the selected principles of the corresponding regularization parameter are shown.
【Fund】: 国家自然科学基金;; 地震学联合科学基金
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【References】
Chinese Journal Full-text Database 1 Hits
1 Hu Wenbao ( Computing Centre, Jianghan Petroleum Institute ) Chen Suyang Deng Xiaolin ( J iangsu Petroleum Exploration Bureau );ANALYTICAL CONTINUATION OF MAGNETOTELLURIC FIELD——METHODS AND APPLICATIONS[J];;1990-S1
【Citations】
Chinese Journal Full-text Database 1 Hits
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【Co-citations】
Chinese Journal Full-text Database 8 Hits
1 Hu Wenbao ( Computing Centre, Jianghan Petroleum Institute ) Chen Suyang Deng Xiaolin ( J iangsu Petroleum Exploration Bureau );ANALYTICAL CONTINUATION OF MAGNETOTELLURIC FIELD——METHODS AND APPLICATIONS[J];;1990-S1
2 LUAN WEN-GUI(Computing Center, Academia Sinica, Beijing);INVERSE PROBLEMS AND ILL-POSED PROBLEMS IN GEOPHYSICS[J];Chinese Journal of Geophysics;1988-01
3 Li Peng,Tian Fengchun,Chen Jianjun,Li Xianli(College of Communication Engineering,Chongqing University,Chongqing 400030,CHN);An Improved Image Restoration Method for 4f Optical System Based on Iterative Extrapolation[J];Optoelectronic Technology;2010-02
4 LUAN WENGUI Computing Center, Academia Sinica, Beijing;THE CONTINUATION OF ELECTROMAGNETIC FIELDS[J];中国科学A辑(英文版);1984-05
5 LUAN WENGUI(Computing Center, Academia Sinica, Beijing);THE CONTINUATIONSOF POTENTIAL,ELECTROMAGNETIC AND WAVE FIELDS[J];中国科学A辑(英文版);1986-02
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1 Zhou Hong1 and Chen Xiao-fei2 1.Institute of Geophysics,China Earthquake Administration,Beijing 100081,China.2.School of Earth and Space Science,University of Science and Technology,Hefei 230026,China.;Ray path of head waves with irregular interfaces[J];应用地球物理(英文版);2010-01
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