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Cited by 4Topological Materials and PhenomenaPhotonic Crystals and ApplicationsNonlinear Photonic Systems

Photonic realization of the relativistic Kronig-Penney model and relativistic Tamm surface states

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Longhi, Stefano·2011·Open Physics
DOI 10.2478/s11534-010-0054-4
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Abstract

Photonic analogues of the relativistic Kronig-Penney model and of relativistic surface Tamm states are proposed for light propagation in fibre Bragg gratings (FBGs) with phase defects. A periodic sequence of phase slips in the FBG realizes the relativistic Kronig-Penney model, the band structure of which being mapped into the spectral response of the FBG. For the semi-infinite FBG Tamm surface states can appear and can be visualized as narrow resonance peaks in the transmission spectrum of the grating.

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  • Several recent works have shown that optical structures in media with a complex refractive index can provide an experimentally accessible test bed to simulate in a purely classical setting non-Hermitian features rooted in the non-relativistic Schrödinger equation with a complex potential.

    “Several recent works have shown that optical structures in media with a complex refractive index can provide an experimentally accessible test bed to simulate in a purely classical setting non-Hermitian features rooted in the non-relativistic Schr¨ odinger equation with a complex potential [91,92,90,93,94,95,96].”

    From Classical simulation of relativistic quantum mechanics in periodic optical structures (2011) · cites this paper as [96]

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Authors
Longhi, S.
Affiliations
Politecnico di Milano (IT)
Corresponding author
Longhi, Stefano
ORCID
Longhi, Stefano
Venue
Open Physics
Publisher
Walter de Gruyter GmbH
Published
2010-09-24
Volume
9
Issue
1
Pages
110-115
ISSN
2391-5471 (ISSN-L)
DOI
10.2478/s11534-010-0054-4
OpenAlex
W2063659230
Cited by
4
References
0
Citations by year
2025: 1
FWCI
0.51
Type
journal article
Language
en
Open access
Licence
Locations
  • Open Physics (publishedVersion, cc-by-nc-nd)
  • arXiv (Cornell University) (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • arXiv (Cornell University)
Funders
Ministero dell’Istruzione, dell’Università e della Ricerca (PRIN-2008-YCAAK)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Photonic Crystals and Applications
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
Keywords
fiber Bragg grating, phase defects, phase slip, electronic band structure, transmission spectra, resonance peaks, light propagation

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