3 papers
math.AP2020
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…
math.AP2020
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…
math.AP2018
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…