A priori bound for elastic scattering of incident plane waves from a diffraction grating

Key Points

• This research aims to establish a priori bounds for elastic scattering from a diffraction grating using plane waves.
• Investigated elastic scattering with plane incident waves on a periodic Lipschitz continuous function.
• Established bounds using Rellich identities.
• Extended findings to random periodic structures.
• Developed an explicit bound dependent on angular frequency, truncated height, and Lipschitz constant.
• Demonstrated a similar bound for more complex random periodic structures.