Fermat's Variational Principle for Anisotropic Inhomogeneous Media

  title={Fermat's Variational Principle for Anisotropic Inhomogeneous Media},
  author={Vlastislav {\vC}erven{\'y}},
  journal={Studia Geophysica et Geodaetica},
  • V. Červený
  • Published 1 July 2002
  • Mathematics
  • Studia Geophysica et Geodaetica
AbstractFermat's variational principle states that the signal propagates from point S to R along a curve which renders Fermat's functional $$\mathcal{I}$$ (l) stationary. Fermat's functional $$\mathcal{I}$$ (l) depends on curves l which connect points S and R, and represents the travel times from S to R along l. In seismology, it is mostly expressed by the integral $$\mathcal{I}$$ (l) = $$\smallint _S^R \mathcal{L}$$ (xk,xk')du, taken along curve l, where ℒ(xk,xk') is the relevant… 

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