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Electromagnetic Low-Frequency Dipolar Excitation of Two Metal Spheres in a Conductive Medium
Joint Authors
Lesselier, Dominique
Papadopoulos, Polycarpos K.
Vafeas, Panayiotis
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-37, 37 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-02
Country of Publication
Egypt
No. of Pages
37
Main Subjects
Abstract EN
This work concerns the low-frequency interaction of a time-harmonic magnetic dipole, arbitrarily orientated in the three-dimensional space, with two perfectly conducting spheres embedded within a homogeneous conductive medium.
In such physical applications, where two bodies are placed near one another, the 3D bispherical geometry fits perfectly.
Considering two solid impenetrable (metallic) obstacles, excited by a magnetic dipole, the scattering boundary value problem is attacked via rigorous low-frequency expansions in terms of integral powers (ik)n, where n≥0, k being the complex wave number of the exterior medium, for the incident, scattered, and total non-axisymmetric electric and magnetic fields.
We deal with the static (n=0) and the dynamic (n=1,2,3) terms of the fields, while for n≥4 the contribution has minor significance.
The calculation of the exact solutions, satisfying Laplace’s and Poisson’s differential equations, leads to infinite linear systems, solved approximately within any order of accuracy through a cut-off procedure and via numerical implementation.
Thus, we obtain the electromagnetic fields in an analytically compact fashion as infinite series expansions of bispherical eigenfunctions.
A simulation is developed in order to investigate the effect of the radii ratio, the relative position of the spheres, and the position of the dipole on the real and imaginary parts of the calculated scattered magnetic field.
American Psychological Association (APA)
Vafeas, Panayiotis& Papadopoulos, Polycarpos K.& Lesselier, Dominique. 2012. Electromagnetic Low-Frequency Dipolar Excitation of Two Metal Spheres in a Conductive Medium. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-37.
https://search.emarefa.net/detail/BIM-1028952
Modern Language Association (MLA)
Vafeas, Panayiotis…[et al.]. Electromagnetic Low-Frequency Dipolar Excitation of Two Metal Spheres in a Conductive Medium. Journal of Applied Mathematics No. 2012 (2012), pp.1-37.
https://search.emarefa.net/detail/BIM-1028952
American Medical Association (AMA)
Vafeas, Panayiotis& Papadopoulos, Polycarpos K.& Lesselier, Dominique. Electromagnetic Low-Frequency Dipolar Excitation of Two Metal Spheres in a Conductive Medium. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-37.
https://search.emarefa.net/detail/BIM-1028952
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028952