| Abstract: |
| We discuss the homogenization and dimension reduction of a wave-type equation with multiple
scales in space and time. To perform the homogenization together with dimension reduction, we
use the method of multi-scale convergence for thin layer, which is the generalization of the
two-scale convergence for a thin heterogeneous layer [M. Neuss-Radu, W. Jager (2007)]. Special
attention is given to deriving the transmission condition along the interface. The study should be
seen as the preliminary work to design a time-varying metasurface to control wave propagation |
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