RADIATION RESISTANCE OF A VERTICAL MAGNETIC DIPOLE OVER AN INHOMOGENEOUS EARTH

Geophysics ◽  
1961 ◽  
Vol 26 (5) ◽  
pp. 635-642 ◽  
Author(s):  
Janardan G. Negi
Keyword(s):  
Magnetic Dipole ◽  
Radiation Resistance ◽  
The Third ◽  
Thin Conducting ◽  
Vertical Magnetic Dipole ◽  
Infinite Extent ◽  
Conducting Sheet

The expressions for the energy radiated per second from an oscillating vertical magnetic dipole situated above a two‐layer earth are derived. Of the three important cases to which particular attention has been given, the first and the second involve the presence of a conducting and insulating substratum, respectively. The third deals with a dipole placed over a thin conducting sheet of infinite extent. Appropriate approximations have been made such that the results may be useful for geoelectrical exploration.

A thin conducting sheet (TCS) model in 3D FDTD : Implementation and validation

2008 ◽  
Author(s):  
Toufic Abboud ◽  
Francois Bereux ◽  
Jean-Loup Lhermitte ◽  
Pierre Benjamin ◽  
Richard Perraud ◽  
...  
Keyword(s):  
Thin Conducting ◽  
Conducting Sheet

Electroseismic waves excited by vertical magnetic dipole in borenole

2011 ◽  
Vol 57 (5) ◽  
pp. 610-614 ◽  
Author(s):  
Zhiwen Cui ◽  
Jinxia Liu ◽  
Guijin Yao ◽  
Kexie Wang
Keyword(s):  
Magnetic Dipole ◽  
Vertical Magnetic Dipole

scholarly journals Quasi-Static Solution for ELF/SLF near-Zone Field of a Vertical Magnetic Dipole near the Surface of a Lossy Half-Space

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Lina He ◽  
Tong He ◽  
Kai Li
Keyword(s):  
Magnetic Dipole ◽  
Numerical Solutions ◽  
Low Frequency ◽  
Analytical Techniques ◽  
Static Solution ◽  
Static Approximation ◽  
Near Zone ◽  
Vertical Magnetic Dipole ◽  
Validity Limit ◽  
Zone Field

Dipole antennas over the boundary between two different media have been widely used in the fields of geophysics exploration, oceanography, and submerged communication. In this paper, an analytical method is proposed to analyse the near-zone field at the extremely low frequency (ELF)/super low frequency (SLF) range due to a vertical magnetic dipole (VMD). For the lack of feasible analytical techniques to derive the components exactly, two reasonable assumptions are introduced depending on the quasi-static definition and the equivalent infinitesimal theory. Final expressions of the electromagnetic field components are in terms of exponential functions. By comparisons with direct numerical solutions and exact results in a special case, the correctness and effectiveness of the proposed quasi-static approximation are demonstrated. Simulations show that the smallest validity limit always occurs for component H2z, and the value of k2ρ should be no greater than 0.6 in order to keep a good consistency.

Unification of Euler and Werner deconvolution in three dimensions via the generalized Hilbert transform

Geophysics ◽  
2001 ◽  
Vol 66 (6) ◽  
pp. 1805-1810 ◽  
Author(s):  
Misac N. Nabighian ◽  
R. O. Hansen
Keyword(s):  
Magnetic Dipole ◽  
Hilbert Transform ◽  
Natural Generalization ◽  
Three Dimensions ◽  
Explicit Calculation ◽  
Euler Deconvolution ◽  
Hilbert Transforms ◽  
Vertical Magnetic Dipole ◽  
Generalized Hilbert Transform ◽  
Practical Level

The extended Euler deconvolution algorithm is shown to be a generalization and unification of 2‐D Euler deconvolution and Werner deconvolution. After recasting the extended Euler algorithm in a way that suggests a natural generalization to three dimensions, we show that the 3‐D extension can be realized using generalized Hilbert transforms. The resulting algorithm is both a generalization of extended Euler deconvolution to three dimensions and a 3‐D extension of Werner deconvolution. At a practical level, the new algorithm helps stabilize the Euler algorithm by providing at each point three equations rather than one. We illustrate the algorithm by explicit calculation for the potential of a vertical magnetic dipole.

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