Diffraction grating with space-time modulation

Pham, Kim; Maurel, Agnès

doi:10.1016/j.jcp.2022.111528

Cited by 3 publications

(1 citation statement)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The breaking of reciprocity induced by a time-harmonic modulation of the refractive index has been exploited in the realization of photonic isolators and circulators [9] without the need of an applied external static magnetic field [10]. Similar effects have been explored in the context of acoustic and elastic waves [11] or for acoustic modulated gratings [12].…”

Section: Introductionmentioning

confidence: 99%

High-order homogenization of the time-modulated wave equation: non-reciprocity for a single varying parameter

Touboul,

Lombard,

Assier

et al. 2024

Proc. R. Soc. A.

View full text Add to dashboard Cite

Laminated media with material properties modulated in space and time in the form of travelling waves have long been known to exhibit non-reciprocity. However, when using the method of low-frequency homogenization, it was so far only possible to obtain non-reciprocal effective media when both material properties are modulated in time, in the form of a Willis-coupling (or bi-anisotropy in electromagnetism) model. If only one of the two properties is modulated in time, while the other is kept constant, it was thought impossible for the method of homogenization to recover the expected non-reciprocity since this Willis-coupling coefficient then vanishes. Contrary to this belief, we show that effective media with a single time-modulated parameter are non-reciprocal, provided homogenization is pushed to the second order. This is illustrated by numerical experiments (dispersion diagrams and time-domain simulations) for a bilayered modulated medium.

show abstract