Generalized elastodynamic model for nanophotonics
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/43662
comunitat-uji-handle3:10234/43643
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INVESTIGACIONMetadatos
Título
Generalized elastodynamic model for nanophotonicsFecha de publicación
2020Editor
American Physical SocietyISSN
2469-9950; 2469-9969Cita bibliográfica
ALVAREZ, J. V.; DJAFARI-ROUHANI, Bahram; TORRENT, Dani. Generalized elastodynamic model for nanophotonics. Physical Review B, 2020, vol. 102, no 11, p. 115308.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.102.115308Versión
info:eu-repo/semantics/publishedVersionResumen
A self-consistent theory for the classical description of the interaction of light and matter at the nanoscale is
presented, which takes into account spatial dispersion. Up to now, the Maxwell equations in nanostru ... [+]
A self-consistent theory for the classical description of the interaction of light and matter at the nanoscale is
presented, which takes into account spatial dispersion. Up to now, the Maxwell equations in nanostructured
materials with spatial dispersion have been solved by the introduction of the so-called additional boundary
conditions which, however, lack generality and uniqueness. In this paper, we derive an approach where nonlocal
effects are studied in a precise and uniquely defined way, thus allowing the treatment of all solid-solid interfaces
(among metals, semiconductors or insulators), as well as solid-vacuum interfaces in the same framework. The
theory is based on the derivation of a potential energy for an ensemble of electrons in a given potential, where the
deformation of the ensemble is treated as in a solid, including both shear and compressional deformations, instead
of a fluid described only by a bulk compressibility like in the hydrodynamical approach. The derived classical
equation of motion for the ensemble describes the deformation vector and the corresponding polarization vector
as an elastodynamic field, including viscous forces, from which a generalized nonlocal constitutive equation for
the dielectric constant is derived. The required boundary conditions are identical to that of elastodynamics and
they emerge in a natural way, without any physical hypothesis outside the current description, as is commonly
required in other nonlocal approaches. Interestingly, this description does not require the discontinuity of any
component of the electric, magnetic, or polarization fields and, consequently, no bounded currents or charges
are present at the interface, which is a more suitable description from the microscopic point of view. It is shown
that the method converges to the local boundary conditions in the low spatial dispersion limit for insulators and
conductors, quantified by means of a parameter defined as the characteristic length. A brief discussion about the
inclusion of the spill out of electrons across surfaces is discussed. Finally, the planar interface is studied and
numerical examples of the behavior of the different fields at the interfaces are presented, showing the limiting
situations in which the local limit is recovered, reinforcing the self-consistency of this description. [-]
Publicado en
Physical Review B, 2020, vol. 102, no 11, p. 115308.Proyecto de investigación
RYC-2016-21188, RTI2018-093921-A-C42, FIS201564886-C5-5-P, PGC2018-096955-B-C42Derechos de acceso
©2020 American Physical Society
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