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Isotropic media - Links |
Isotropic media - fix equation (see discussion) |
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Line 59:
:<math>A[\hat{\mathbf{k}}]=
\alpha^2 \,\hat{\mathbf{k}}\otimes\hat{\mathbf{k}}
+\beta^2 \, (k^2\mathbf{I}-\hat{\mathbf{k}}\otimes\hat{\mathbf{k}} )
</math>
where
Line 68:
are the eigenvalues of
<math>A[\hat{\mathbf{k}}]</math>
with eigenvectors <math>\hat{\mathbf{u}}</math> parallel and orthogonal to the propagation direction <math>\hat{\mathbf{k}}</math>, respectively. In index notation:
:<math>A_{ij}=\alpha^2 k_ik_j+\beta^2(k_mk_m\delta_{ij}-k_ik_j)\,</math>
In the seismological literature, the corresponding plane waves are called P-waves and S-waves (see [[Seismic wave]]).
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