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Reflection and transmission of light at periodic layered metamaterial films

hal.structure.identifierInstitute of Condensed Matter Theory and Solid State Optics
dc.contributor.authorPAUL, Thomas
hal.structure.identifierInstitute of Condensed Matter Theory and Solid State Optics
dc.contributor.authorMENZEL, C.
hal.structure.identifierLaboratoire Charles Fabry de l'Institut d'Optique / Naphel
dc.contributor.authorŚMIGAJ, Wojciech
hal.structure.identifierInstitute of Condensed Matter Theory and Solid State Optics
dc.contributor.authorROCKSTUHL, C.
hal.structure.identifierlp2n-03,lp2n-13
hal.structure.identifierLaboratoire Charles Fabry de l'Institut d'Optique / Naphel
dc.contributor.authorLALANNE, Philippe
hal.structure.identifierInstitute of Condensed Matter Theory and Solid State Optics
dc.contributor.authorLEDERER, F.
dc.date.accessioned2023-05-12T10:58:00Z
dc.date.available2023-05-12T10:58:00Z
dc.date.issued2011
dc.identifier.issn1098-0121
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/181973
dc.description.abstractEnThe appropriate description of light scattering (transmission/reflection) at a bulky artificial medium, consisting of a sequence of functional metamaterial and natural material films, represents a major challenge in current theoretical nano-optics. Because in many relevant cases, in particular, in the optical domain, a metamaterial must not be described by an effective permittivity and permeability the usual Fresnel formalism cannot be applied. A reliable alternative consists in using a Bloch mode formalism known, e.g., from the theory of photonic crystals. It permits to split this complex issue into two more elementary ones, namely the study of light propagation in an infinitely extended metamaterial and the analysis of light scattering at interfaces between adjacent meta and natural materials. The first problem is routinely solved by calculating the relevant Bloch modes and theirdispersion relations. The second task is more involved and represents the subject of the present study. It consists in using the general Bloch mode orthogonality to derive rigorous expressions for the reflection and transmission coefficients at an interface between two three-dimensional absorptive periodic media for arbitrary incidence. A considerable simplification can be achieved if only the fundamental Bloch modes of both media govern the scattering properties at the interface. If this approximation is valid,which depends on the longitudinalmetamaterial period, the periodic metamaterial may be termed homogeneous. Only in this case the disentanglement of the fundamental modes of both media can be performed and the reflection/transmission coefficients can be expressed in terms of two impedances, each depending solely on the properties of the fundamental mode of the respectivemedium. In order to complement the picture, we apply the present formalism to the quite general problem ofreflection/transmission at a metamaterial film sandwiched between a dissimilar metamaterial. This situation asks for a devoted treatment where multiple modes have to be taken into account.
dc.language.isoen
dc.publisherAmerican Physical Society
dc.title.enReflection and transmission of light at periodic layered metamaterial films
dc.typeArticle de revue
dc.identifier.doi10.1103/PhysRevB.84.115142
dc.subject.halSciences de l'ingénieur [physics]/Optique / photonique
dc.subject.halPhysique [physics]/Physique [physics]/Optique [physics.optics]
bordeaux.journalPhysical Review B: Condensed Matter and Materials Physics (1998-2015)
bordeaux.page115142
bordeaux.volume84
bordeaux.hal.laboratoriesLaboratoire Photonique, Numérique et Nanosciences (LP2N) - UMR 5298*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00681499
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00681499v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Physical%20Review%20B:%20Condensed%20Matter%20and%20Materials%20Physics%20(1998-2015)&rft.date=2011&rft.volume=84&rft.spage=115142&rft.epage=115142&rft.eissn=1098-0121&rft.issn=1098-0121&rft.au=PAUL,%20Thomas&MENZEL,%20C.&%C5%9AMIGAJ,%20Wojciech&ROCKSTUHL,%20C.&LALANNE,%20Philippe&rft.genre=article


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