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

N magnetic dipoles radiate (inside or outside) a piecewise homogeneous (layered) and isotropic medium. The power fluxes and energy processes inside and outside the medium resulting from the various interactions between participating fields are investigated by means of the introduced interaction scat...

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Bibliographic Details
Published in:Studies in applied mathematics (Cambridge) 2022-04, Vol.148 (3), p.1040-1068
Main Authors: Kalogeropoulos, Andreas, Tsitsas, Nikolaos L.
Format: Article
Language:English
Subjects:
conservation of energy
dipoles
Electromagnetic interactions
electromagnetic waves
Excitation
Far fields
Fluxes
Isotropic media
layered medium
Magnetic dipoles
power fluxes
scattering and radiation
Scattering cross sections
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Summary:N magnetic dipoles radiate (inside or outside) a piecewise homogeneous (layered) and isotropic medium. The power fluxes and energy processes inside and outside the medium resulting from the various interactions between participating fields are investigated by means of the introduced interaction scattering cross sections (ISCS) and interaction power fluxes (IPF). Connections between the power flux through the excitation layers and the radiation in the far field are established by specifying the law of energy conservation for the considered scattering problem. Additionally, the relation between the IPF and the ISCS is derived by applying a generalized version of the optical theorem. Physical bounds for the ISCS with respect to the minimum and maximum individual cross sections and the number of excitation dipoles and layers are derived. The large‐N behavior of the ISCS is analyzed. Variations of the ISCS and their physical bounds are numerically investigated.
ISSN:0022-2526
1467-9590
DOI:10.1111/sapm.12469