Low-frequency propagation of plane scalar waves through a periodic array of arbitrary volumetric obstacles

• Published in: Нелінійні коливання
• Date: 2003
• Main Authors: Scarpetta, E., Sumbatyan, M.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/176984
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Low-frequency propagation of plane scalar waves through a periodic array of arbitrary volumetric obstacles / E. Scarpetta, M.A. Sumbatyan // Нелінійні коливання. — 2003. — Т. 6, № 4. — С. 511-524. — Бібліогр.: 15 назв. — англ.

In the context of wave propagation through gratings of periodically distributed obstacles, we use analytical approaches to derive explicit formulas for the scattering parameters in the low-frequency approximation. The geometric shape of the obstacles is arbitrary. Numerical solution of the main in...