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Table 2:

Shift of the antinodes (i) of the first 5 eigenmodes (k) when expanded linearly in the stratification parameter.
Displacement:
k i 1 2 3 4 5
1 0        
2 -.020154 0.020154      
3 -.024759 0 0.024759    
4 -.023445 -.019519 0.019519 0.023445  
5 -.021226 -.028299 0 0.028299 0.021226
Compression:
k i 1 2 3 4 5
1 0        
2 -.0764 0.0764      
3 -.0554 0 0.0554    
4 -.0418 -.0271 0.0271 0.0418  
5 -.0334 -.0358 0 0.0358 0.0334
The numbers are the coefficients of $\alpha_1$ in the expansion. Note the number of digits in the table for the compression. The terms in summation (33) decay rather slowly with j and although 200 terms were used to compute the above values, they are only valid up to the third significant digit. For the displacement the contributions decay much faster with j and are almost entirely determined by the (k+2)th contribution.

Source LaTeX | All tables | In the text

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