54 citations · 142 across the 9 of their papers we have counts for
4 papers · 1 filter
On the spectral asymptotics of waves in periodic media with Dirichlet or Neumann exclusions
Othman Oudghiri-Idrissi, Bojan B. Guzina, Shixu Meng
We consider homogenization of the scalar wave equation in periodic media at finite wavenumbers and frequencies, with the focus on continua characterized by: (a) arbitrary Bravais l…
A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term
Shixu Meng, Othman Oudghiri-Idrissi, Bojan B. Guzina
We pursue a low-wavenumber, second-order homogenized solution of the time-harmonic wave equation at both low and high frequency in periodic media with a source term whose frequency…
A rational framework for dynamic homogenization at finite wavelengths and frequencies
Bojan Guzina, Shixu Meng, Othman Oudghiri-Idrissi
In this study, we establish an inclusive paradigm for the homogenization of scalar wave motion in periodic media (with or without the source term) at finite frequencies and wavelen…
On the dynamic homogenization of periodic media: Willis' approach versus two-scale paradigm
Shixu Meng, Bojan Guzina
When considering an effective i.e. homogenized description of waves in periodic media that transcends the usual quasi-static approximation, there are generally two schools of thoug…