Tutorial on the conservation of momentum in photonic time-varying media [Invited]
Fecha
2023Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión publicada / Argitaratu den bertsioa
Identificador del proyecto
Impacto
|
10.1364/OME.485540
Resumen
Time-varying media break temporal symmetries while preserving spatial symmetries
intact. Thus, it represents an excellent conceptual framework to investigate the fundamental
implications of Noether’s theorem for the electromagnetic field. At the same time, addressing
momentum conservation in time-varying media sheds light on the Abraham-Minkowski debate,
where two opposing forms of the electr ...
[++]
Time-varying media break temporal symmetries while preserving spatial symmetries
intact. Thus, it represents an excellent conceptual framework to investigate the fundamental
implications of Noether’s theorem for the electromagnetic field. At the same time, addressing
momentum conservation in time-varying media sheds light on the Abraham-Minkowski debate,
where two opposing forms of the electromagnetic field momentum are defended. Here, we present
a tutorial review on the conservation of momentum in time-varying media. We demonstrate
that the Minkowski momentum is a conserved quantity with three independent approaches of
increasing complexity: (i) via the application of the boundary conditions for Maxwell equations
at a temporal boundary, (ii) testing for constants of motion and deriving conservation laws, and
(iii) applying temporal and spatial translations within the framework of the Lagrangian theory of
the electromagnetic field. Each approach provides a different and complementary insight into the
problem. [--]
Materias
Momentum conservation,
Time varying-media
Editor
Optica
Publicado en
Optical Materials Express 13 (6), 1598
Departamento
Universidad Pública de Navarra. Departamento de Ingeniería Eléctrica, Electrónica y de Comunicación /
Nafarroako Unibertsitate Publikoa. Ingeniaritza Elektrikoa, Elektronikoa eta Telekomunikazio Ingeniaritza Saila /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute of Smart Cities - ISC
Versión del editor
Entidades Financiadoras
H2020 European Research Council (Starting Grant 948504); Ministerio de Ciencia, Innovación y Universidades (MCIU) (FJC2021-047776-I, RYC2018-024123-I).; M.L. is funded by the Fund for Scientific Research (F.R.S.-FNRS) of Belgium.