Homogenisation Theory of Space-Time Metamaterials
arXiv:2009.10479 · doi:10.1103/PhysRevApplied.16.014044
Abstract
We present a general framework for the homogenisation theory of space-time metamaterials. By mapping to a frame co-moving with the space-time modulation, we derive analytical formulae for the effective material parameters for travelling wave modulations in the low frequency limit: electric permittivity, magnetic permeability and magnetoelectric coupling. Remarkably, we show that the theory is exact at all frequencies in the absence of back-reflections, and exact at low frequencies when that condition is relaxed. This allows us to derive exact formulae for the Fresnel drag experienced by light travelling through travelling-wave modulations of electromagnetic media.
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- 3-D Metamaterials: Trends on Applied Designs, Computational Methods and Fabrication Techniques
- Realizing spatiotemporal effective media for acoustic metamaterials
- Rotating Spacetime Modulation: Topological Phases and Spacetime Haldane Model
- Homogenization of Dispersive Spacetime Crystals: Anomalous Dispersion and Negative Stored Energy
- Analysis of Metallic Space-Time Gratings using Lorentz Transformations
- Space-time Metallic Metasurfaces for Frequency Conversion and Beamforming
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- Parametric metasurfaces for electromagnetic wave amplification
- Spatiotemporal cascading of dielectric waveguides
- Non-Bloch Theory for Spatiotemporal Photonic Crystals Assisted by Continuum Effective Medium
- Metamaterials and Fluid Flows
- Time modulated media with digital meta-atoms
- Transient States to Control the Electromagnetic Response of Space-time Dispersive Media
- Access to Klein Tunneling via Space-Time Modulation