## Complex two-point rays
in anisotropic inhomogeneous weakly dissipative media

**Vlastislav Cerveny** **&**
**Ivan Psencik**
### Summary

Ray perturbation theory is used to derive two-point complex ray equations in
anisotro-pic, inhomogeneous, weakly dissipative media. The reference medium
*M*^{0} is assumed to be non-dissipative, and the reference ray *Omega*^{0}
connecting the points, *S* and *R*, to be real-valued. Simple equations for the
complex, two-point, perturbed ray *Omega*, situated in the perturbed, weakly
dissipative medium *M*, connecting points *S* and *R*, are derived. The basic
step in the derivation consists in the determination of the initial-value attenuation
vector at point *S* (i.e., of the imaginary-valued part of the slowness vector at *S*).

### Keywords

Ray perturbation theory, inhomogeneous
weakly dissipative anisotropic media, two-point complex rays.

### Whole paper

The paper is available in
PostScript (700 kB)
and GZIPped PostScript (372 kB).

In: Seismic Waves in Complex 3-D Structures, Report 12,
pp. 241-245, Dep. Geophys., Charles Univ., Prague, 2002.

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