Replicating physical motion with Minkowskian isorefractive spacetime crystals

Here, we show that isorefractive spacetime crystals with a travelling-wave modulation may mimic rigorously the response of moving material systems. Unlike generic spacetime crystals, which are characterized by a bi-anisotropic coupling in the co-moving frame, isorefractive crystals exhibit an observ...

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Main Authors: Prudêncio Filipa R., Silveirinha Mário G.
Format: Article
Language:English
Published: De Gruyter 2023-05-01
Series:Nanophotonics
Subjects:
Online Access:https://doi.org/10.1515/nanoph-2023-0144
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author Prudêncio Filipa R.
Silveirinha Mário G.
author_facet Prudêncio Filipa R.
Silveirinha Mário G.
author_sort Prudêncio Filipa R.
collection DOAJ
description Here, we show that isorefractive spacetime crystals with a travelling-wave modulation may mimic rigorously the response of moving material systems. Unlike generic spacetime crystals, which are characterized by a bi-anisotropic coupling in the co-moving frame, isorefractive crystals exhibit an observer-independent response, resulting in isotropic constitutive relations devoid of any bianisotropy. We show how to take advantage of this property in the calculation of the band diagrams of isorefractive spacetime crystals in the laboratory frame and in the study of the synthetic Fresnel drag. Furthermore, we discuss the impact of considering either a Galilean or a Lorentz transformation in the homogenization of spacetime crystals, showing that the effective response is independent of the considered transformation.
format Article
id doaj-art-12e3fbdbd82449669df0f598ccd5c87b
institution Kabale University
issn 2192-8606
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language English
publishDate 2023-05-01
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record_format Article
series Nanophotonics
spelling doaj-art-12e3fbdbd82449669df0f598ccd5c87b2024-11-25T11:19:10ZengDe GruyterNanophotonics2192-86062192-86142023-05-0112143007301710.1515/nanoph-2023-0144Replicating physical motion with Minkowskian isorefractive spacetime crystalsPrudêncio Filipa R.0Silveirinha Mário G.1University of Lisbon – Instituto Superior Técnico and Instituto de Telecomunicações, Avenida Rovisco Pais 1, 1049-001Lisbon, PortugalUniversity of Lisbon – Instituto Superior Técnico and Instituto de Telecomunicações, Avenida Rovisco Pais 1, 1049-001Lisbon, PortugalHere, we show that isorefractive spacetime crystals with a travelling-wave modulation may mimic rigorously the response of moving material systems. Unlike generic spacetime crystals, which are characterized by a bi-anisotropic coupling in the co-moving frame, isorefractive crystals exhibit an observer-independent response, resulting in isotropic constitutive relations devoid of any bianisotropy. We show how to take advantage of this property in the calculation of the band diagrams of isorefractive spacetime crystals in the laboratory frame and in the study of the synthetic Fresnel drag. Furthermore, we discuss the impact of considering either a Galilean or a Lorentz transformation in the homogenization of spacetime crystals, showing that the effective response is independent of the considered transformation.https://doi.org/10.1515/nanoph-2023-0144metamaterialsminkowskian spacetime crystalsphotonic crystalsspace-time modulationsynthetic fresnel dragtravelling-wave modulation
spellingShingle Prudêncio Filipa R.
Silveirinha Mário G.
Replicating physical motion with Minkowskian isorefractive spacetime crystals
Nanophotonics
metamaterials
minkowskian spacetime crystals
photonic crystals
space-time modulation
synthetic fresnel drag
travelling-wave modulation
title Replicating physical motion with Minkowskian isorefractive spacetime crystals
title_full Replicating physical motion with Minkowskian isorefractive spacetime crystals
title_fullStr Replicating physical motion with Minkowskian isorefractive spacetime crystals
title_full_unstemmed Replicating physical motion with Minkowskian isorefractive spacetime crystals
title_short Replicating physical motion with Minkowskian isorefractive spacetime crystals
title_sort replicating physical motion with minkowskian isorefractive spacetime crystals
topic metamaterials
minkowskian spacetime crystals
photonic crystals
space-time modulation
synthetic fresnel drag
travelling-wave modulation
url https://doi.org/10.1515/nanoph-2023-0144
work_keys_str_mv AT prudenciofilipar replicatingphysicalmotionwithminkowskianisorefractivespacetimecrystals
AT silveirinhamariog replicatingphysicalmotionwithminkowskianisorefractivespacetimecrystals