Homogenization theory of space-time metamaterials
File(s)
Published version
Author(s)
Huidobro, PA
Silveirinha, MG
Galiffi, E
Pendry, JB
Type
Journal Article
Abstract
We present a general framework for the homogenization theory of space-time metamaterials. By mapping to a frame comoving with the space-time modulation, we derive analytical formulas for the effective material parameters for traveling-wave modulations in the low-frequency limit: electric permittivity, magnetic permeability, and magnetoelectric coupling. In doing so, we provide a recipe for the calculation of effective parameters of space–time-modulated media where the parameters follow a traveling-wave form of any shape and we show how synthetic motion can result in giant bianisotropy. This allows us to deepen the understanding of how nonreciprocity can be achieved in the long-wavelength limit and to completely characterize the different nonreciprocal behaviors available in space–time-modulated media. In particular, we show how the modulation speed, which can be subluminal or superluminal, together with the relative phase between electric and magnetic modulations, provide tuning knobs for the nonreciprocal response of these systems. Furthermore, we apply the theory to derive exact formulas for the Fresnel drag experienced by light traveling through traveling-wave modulations of electromagnetic media, providing insight into the differences and similarities between synthetic motion and moving matter. Since we exploit a series of Galilean coordinate transformations, the theory may be generalized to other kinds of waves.
Date Issued
2021-07-19
Date Acceptance
2021-06-24
Citation
Physical Review Applied, 2021, 16 (1), pp.1-13
ISSN
2331-7019
Publisher
American Physical Society
Start Page
1
End Page
13
Journal / Book Title
Physical Review Applied
Volume
16
Issue
1
Copyright Statement
© 2021 American Physical Society.
Identifier
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000681257600004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Applied
Physics
DISPERSION-RELATIONS
PERIODIC MEDIA
Publication Status
Published
Article Number
ARTN 014044
Date Publish Online
2021-07-19