Electromagnetic Scattering of a Small Spherical Obstacle Near the Ground

1972 ◽  
Vol 50 (3) ◽  
pp. 237-243 ◽  
Author(s):  
David A. Hill ◽  
James R. Wait
Keyword(s):  
Approximate Solution ◽  
Electromagnetic Scattering ◽  
Ground Plane ◽  
Low Frequency ◽  
Static Solution ◽  
Conducting Sphere ◽  
Small Obstacle ◽  
Bispherical Coordinates ◽  
Ground Wave

The field scattered by an ungrounded conducting sphere above a ground plane is considered. The quasi-static solution is facilitated by the use of bispherical coordinates. The approximate solution obtained by considering only the interaction of dipole modes with the interface is presented for comparison. The general results are used to calculate the backscatter of a low frequency ground wave by a small obstacle.

Mie Series for Electromagnetic Scattering of a Conducting Sphere Coated with Chiral Metamaterials

Frequenz ◽  
2014 ◽  
Vol 68 (7-8) ◽  
Author(s):  
Maoyan Wang ◽  
Hailong Li ◽  
Guiping Li ◽  
Yuliang Dong ◽  
Hu Zheng
Keyword(s):  
Electromagnetic Scattering ◽  
Conducting Sphere ◽  
Chiral Metamaterials

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.

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