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Isotropic media - Links |
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and <math>c=\omega/\sqrt{\mathbf{k}\cdot\mathbf{k}}</math> is phase velocity.
== Isotropic media ==
In [[Hooke's Law#Isotropic materials|isotropic]] media, the elasticity tensor has the form
:<math> C_{ijkl}
= \kappa \, \delta_{ij}\, \delta_{kl}
+\mu\, (\delta_{ik}\delta_{jl}+\delta_{il}\delta_{jk}-\frac{2}{3}\, \delta_{ij}\,\delta_{kl})</math>
where
<math>\kappa</math> is
<math>\mu</math> is
Hence the acoustic algebraic operator becomes
:<math>A[\hat{\mathbf{k}}]=
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