An identification method of electric current dipoles in spherically symmetric conductor

Analysis of Interaction Scattering Cross Sections and Their Physical Bounds for Multiple-Dipole Stimulation of a Three-Dimensional Layered Medium

“…Concerning the choices of physical parameters and thicknesses of the shells, connections can be established to potential applications, among the ones identified in the Introduction above. For example, in applications involving biological tissues, the magnetic permeability is considered to be that of vacuum, and hence the relative permeability is µ r = 1 [9], [11]. However, the relative dielectric permittivities of biological tissues depend on many factors, including excitation frequency, e.g.…”

“…stimulation of the brain by the neurons currents [1], [2], cancer-treatment techniques like ablation and interstitial hyperthermia [3], [4], radiation by multiple sensors in 5G networks [5], multilayer optical diffusion [6], and design of nonplanar microstrip antennas [7]. Moreover, in the context of inverse problems, excitation by N dipoles was employed in field-splitting techniques [8], identifications of fields on spherically-symmetric conductors [9], reconstruction of obstacles buried in layered media [10], and dipoles localization using electromagnetic induction sensors [11]. Besides, scattering by layered uniaxial objects was investigated in [12] by employing a methodology involving electric and magnetic infinitesimal dipoles located in different layers.…”

Electromagnetic interactions of dipole distributions with a stratified medium: Power fluxes and scattering cross sections

“…Identifications of individual fields on spherically symmetric conductors are investigated in Refs. 2 and 10 . The determination of mean electromagnetic fields due to stochastically distributed dipoles/scatterers also requires knowledge of the generated fields due to a group of dipoles/scatterers located in different layers.…”

Algebraic Reconstruction of Current Dipoles and Quadrupoles in Three-Dimensional Space

“…A problem with optimization-based algorithms is that they require an initial solution close to the true solution, or the algorithm will often converge to a local minimum. To resolve this problem, algebraic methods have been proposed and are gaining increased importance [6][7][8][9][10]. In these methods, the ECD parameters are reconstructed directly and algebraically from the boundary measurements of the magnetic field.…”