Diffraction of Elastic Waves by a Cylindrical Nanohole

2014 ◽  
Vol 526 ◽  
pp. 145-149 ◽  
Author(s):  
Li Wang ◽  
Pei Jun Wei ◽  
Xi Qiang Liu ◽  
Gui Zhang
Keyword(s):  
Plane Wave ◽  
Cross Section ◽  
Elastic Waves ◽  
Surface Stress ◽  
Scattering Amplitude ◽  
Expansion Method ◽  
Plane Wave Expansion ◽  
Plane Wave Expansion Method ◽  
Stress Effects ◽  
Diffraction Of Elastic Waves

Diffraction of in-plane wave and out-plane wave by a cylindrical nanohole is investigated. The surface elastic theory is used to consider the surface stress effects and to derive the boundary condition on the surface of the nanohole. The plane wave expansion method is applied to obtain the scattering waves. The scattering cross section and far-field scattering amplitude are numerically evaluated. The influences of surface stress are discussed based on the numerical results.

Propagation of SH Wave in Composites with Parallel Cylindrical Nanoholes

2011 ◽  
Vol 365 ◽  
pp. 23-27 ◽  
Author(s):  
Fang Wei Qiang ◽  
Pei Jun Wei ◽  
Xi Qiang Liu
Keyword(s):  
Surface Stress ◽  
Expansion Method ◽  
Plane Wave Expansion ◽  
Sh Wave ◽  
Plane Wave Expansion Method ◽  
Stress Effects ◽  
Effective Velocity ◽  
Scattering Effects ◽  
The Individual ◽  
Multiple Scattering Effects

The effective propagation constants of coherent elastic SH wave in composites with random distributed parallel cylindrical nanoholes in host material are studied. The surface elastic theory is used to consider the surface stress effects and to derive the nontraditional boundary condition on the surface of nanoholes. The plane wave expansion method is applied to obtain the scattering waves from the individual cylindrical nanohole. The multiple scattering effects are taken into consideration by the configuration averaging of random distributed scatterers. The effective velocity and attenuation of coherent SH wave are numerically evaluated. The influence of surface stress is discussed based on the numerical results.

scholarly journals Harmonic analysis of lossy, piezoelectric composite transducers using the plane wave expansion method

Ultrasonics ◽  
2008 ◽  
Vol 48 (8) ◽  
pp. 652-663 ◽  
Author(s):  
Leigh-Ann Orr ◽  
Anthony J. Mulholland ◽  
Richard L. O’Leary ◽  
Gordon Hayward
Keyword(s):  
Plane Wave ◽  
Harmonic Analysis ◽  
Expansion Method ◽  
Piezoelectric Composite ◽  
Plane Wave Expansion ◽  
Plane Wave Expansion Method ◽  
Wave Expansion

PHOTONIC GAPS IN PERIODIC DIELECTRIC STRUCTURES

1992 ◽  
Vol 06 (03) ◽  
pp. 139-144 ◽  
Author(s):  
C.T. CHAN ◽  
K.M. HO ◽  
C.M. SOUKOULIS
Keyword(s):  
Plane Wave ◽  
Electromagnetic Waves ◽  
Expansion Method ◽  
Dielectric Materials ◽  
Band Gaps ◽  
Plane Wave Expansion ◽  
Photonic Band Gaps ◽  
Plane Wave Expansion Method ◽  
Dielectric Structures ◽  
Photonic Band

Using a plane wave expansion method, we solved the Maxwell’s equations for the propagation of electromagnetic waves inside periodic dielectric materials, and found the existence of photonic band gaps in several classes of periodic dielectric structures.

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