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Analytical Approximations of Low-Frequency Scattering from Homogeneous Spheres

Osipov, Andrey V. and Tretyakov, Sergei (2015) Analytical Approximations of Low-Frequency Scattering from Homogeneous Spheres. 1st URSI Atlantic Radio Science Conference (URSI AT-RASC), 2015-05-18 - 2015-05-22, Spain. doi: 10.1109/URSI-AT-RASC.2015.7302896.

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Because of its perfect isotropy, an electrically small homogeneous sphere is an important building block in the design and construction of artificial electromagnetic materials, including metamaterials, over a broadest range of frequencies, from microwave and terahertz to optical. The relative permittivity of the sphere may, therefore, broadly vary as its real part can be positive (all natural materials at microwave frequencies) or negative (noble metals at optical frequencies), the absolute value large or small and the imaginary part can correspond to a strongly absorbing or an almost lossless material. The relative permeability may also deviate from unity if the material is magnetic. Though exact and low-frequency analytical solutions for scattering from homogeneous spheres have been available since more than a century, e.g. (J.A. Stratton, Electromagnetic Theory, 1941, pp. 563-573), a complete description of the low-frequency scattering for the whole variety of possible material parameters is still missing. This work closes the gap by providing a complete set of analytical low-frequency approximations on the complex plane of the relative permittivity.

Item URL in elib:https://elib.dlr.de/93499/
Document Type:Conference or Workshop Item (Speech)
Title:Analytical Approximations of Low-Frequency Scattering from Homogeneous Spheres
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Tretyakov, SergeiAalto University, FinlandUNSPECIFIEDUNSPECIFIED
Refereed publication:No
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
Keywords:analytical approximations, low-frequency electromagnetic scattering, homogeneous spheres, artificial electromagnetic materials
Event Title:1st URSI Atlantic Radio Science Conference (URSI AT-RASC)
Event Location:Spain
Event Type:international Conference
Event Dates:2015-05-18 - 2015-05-22
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Military Technologies (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Microwaves and Radar Institute > Reconnaissance and Security
Deposited By: Osipov, Dr. Andrey
Deposited On:12 Dec 2014 08:41
Last Modified:21 Jul 2023 08:53

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