Analysis of Two-dimensional Scattering by a Periodic Array of Conducting Cylinders Using the Method of Auxiliary Sources

PIERS Online ◽  
2008 ◽  
Vol 4 (5) ◽  
pp. 521-525 ◽  
Author(s):  
Naamen Hichem ◽  
Taoufik Aguili
Keyword(s):  
Periodic Array ◽  
Two Dimensional ◽  
Method Of Auxiliary Sources ◽  
Conducting Cylinders

scholarly journals Dynamic interfacial trapping of flexural waves in structured plates

2016 ◽  
Vol 472 (2186) ◽  
pp. 20150658 ◽  
Author(s):  
S. G. Haslinger ◽  
R. V. Craster ◽  
A. B. Movchan ◽  
N. V. Movchan ◽  
I. S. Jones
Keyword(s):  
Standing Waves ◽  
Periodic Array ◽  
Two Dimensional ◽  
Flexural Waves ◽  
Homogeneous Part ◽  
Interface Boundary ◽  
Dimensional Array ◽  
Different Types ◽  
Doubly Periodic Array ◽  
Localized Waves

The paper presents new results on the localization and transmission of flexural waves in a structured plate containing a semi-infinite two-dimensional array of rigid pins. In particular, localized waves are identified and studied at the interface boundary between the homogeneous part of the flexural plate and the part occupied by rigid pins. A formal connection has been made with the dispersion properties of flexural Bloch waves in an infinite doubly periodic array of rigid pins. Special attention is given to regimes corresponding to standing waves of different types as well as Dirac-like points that may occur on the dispersion surfaces. A single half-grating problem, hitherto unreported in the literature, is also shown to bring interesting solutions.

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