Implementing radial anisotropy with self-similar structures

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorRimpiläinen, T. E.
dc.contributor.authorAlù, A.
dc.contributor.authorSihvola, A.
dc.contributor.departmentElektroniikan ja nanotekniikan laitosfi
dc.contributor.departmentDepartment of Electronics and Nanoengineeringen
dc.contributor.schoolSähkötekniikan korkeakoulufi
dc.contributor.schoolSchool of Electrical Engineeringen
dc.date.accessioned2020-09-23T09:53:59Z
dc.date.available2020-09-23T09:53:59Z
dc.date.issued2020
dc.description.abstractRadial anisotropy in small objects has been linked to exotic optical properties. It can be implemented with a spherical inclusion that manifests self-similarity. We show that, when a self-similar, onion-like structure with alternating layers is homogenized by using an effective material approximation, the homogenized material becomes uniaxially anisotropic with the axis of anisotropy pointed radially outward from the center of the inclusion. This radial anisotropy becomes exact in the limit of a dense set of layers. The exact equivalence of the layered self-similar inclusion and the radially anisotropic inclusion manifests itself both in the effective permittivities of the two inclusions-when homogenized over the entire volumes-and in the internal potentials. Because the layered sphere and the radially anisotropic sphere are analogous, it is possible to study some of the interesting scattering features of radially anisotropic spheres in a realistic configuration. In particular, we show that the outcome of homogenizing the self-similar inclusion, and consequently the electric response, depends on what the core material at the center of the inclusion is and that a continuous transition between the two homogenization models is possible. The findings suggest intriguing applications in nanophotonics.en
dc.description.versionNon Peer revieweden
dc.format.extent12
dc.format.mimetypeapplication/pdfen
dc.identifier.citationPreprint version of an article published by American Physical Society "Rimpiläinen, T. E. & Alù, A. & Sihvola, A.. 2020. Implementing radial anisotropy with self-similar structures. Physical Review B. Volume 102, Issue 8. 11 pages. ISSN 2469-9950 (printed)". DOI: 10.1103/physrevb.102.085141.en
dc.identifier.doi10.1103/physrevb.102.085141
dc.identifier.issn2469-9950 (printed)
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/46576
dc.identifier.urnURN:NBN:fi:aalto-202009225509
dc.language.isoenen
dc.publisherAmerican Physical Society (APS)en
dc.rights© 2020 American Physical Society (APS). Please note, this is preprint version.en
dc.rights.holderAmerican Physical Society (APS)
dc.subject.keywordEffective permittivityen
dc.subject.keywordLight-scatteringen
dc.subject.keywordParticlesen
dc.subject.keywordHomogenizationen
dc.subject.keywordPolarizabilityen
dc.subject.keywordConductivityen
dc.subject.keywordMixturesen
dc.subject.keywordFieldsen
dc.subject.keywordSphereen
dc.subject.otherPhysicsen
dc.titleImplementing radial anisotropy with self-similar structuresen
dc.typeJ Muu elektroninen julkaisufi
dc.type.dcmitypetexten
dc.type.versionPre-printen
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