scholarly journals Low frequency elastic wave propagation in two dimensional locally resonant phononic crystal with asymmetric resonator

2009 ◽  
Vol 105 (4) ◽  
pp. 044903 ◽  
Author(s):  
Yongwei Gu ◽  
Xudong Luo ◽  
Hongru Ma
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Phononic Crystal ◽  
Low Frequency ◽  
Elastic Wave Propagation ◽  
Two Dimensional

The relationship between two- and three-dimensional elastic-wave propagation

1971 ◽  
Vol 61 (6) ◽  
pp. 1583-1588 ◽  
Author(s):  
C. N. G. Dampney
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Three Dimensional ◽  
Elastic Wave Propagation ◽  
Simple Relationship ◽  
Two Dimensional ◽  
Intrinsic Interest ◽  
Cylindrically Symmetric ◽  
The Relationship ◽  
Dimensional Wave

abstract A technique similar to inverting Abel's equation is used to invert the descent of dimensions method between three-dimensional, cylindrically-symmetric and two-dimensional wave propagation. The end result is a very simple relationship between the two types of wave propagation. Apart from its intrinsic interest, the large number of two-dimensional studies reported in the literature could now be related to their three-dimensional counterparts.

On the use of localization theory to characterize elastic wave propagation in randomly stratified 1-D media

Geophysics ◽  
1993 ◽  
Vol 58 (1) ◽  
pp. 177-179 ◽  
Author(s):  
John A. Scales
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Seismic Data ◽  
Effective Medium Theory ◽  
Low Frequency ◽  
Elastic Wave Propagation ◽  
Well Log ◽  
Medium Theory ◽  
One Dimensional ◽  
Localization Theory

In a series of papers Benjamin White, Ping Sheng, George Papanicolaou and others have described the application of localization theory to the study of elastic wave propagation in randomly stratified one‐dimensional (1-D) media. They describe methods for computing the localization parameters and apply the results to sonic well‐log data. In this note, I will show that, at least in the seismic band, the results of their calculations disagree with effective medium theory. This disagreement may to be due to the lack of low‐frequency information in exploration seismic data.

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