A Dispersive Effective Medium for Wave Propagation in Periodic Composites
Fadil Santosa, William W. Symes
Source abstract
The problem of wave propagation through a periodic medium is considered. It is assumed that the ratio between the cell size and the shortest wavelength of the initial disturbance is small. Within this regime, an effective medium model of the propagation phenomena is obtained using the Bloch expansion. The effective medium obtained is shown to be dispersive. It is known that a dominant feature of the transient wave train in a periodic medium is that of dispersion. It is shown that our model recovers homogenization formally when the cell size approaches zero. Explicit formula for the constants appearing in the effective medium equation is derived for the case of one dimension. The accuracy of the resulting approximation is assessed in numerical simulations.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.