## Reflection/transmission laws for slowness vectors
in viscoelastic anisotropic media

**Vlastislav Cerveny**
### Summary

The reflection/transmission laws (R/T laws)
of plane waves at a plane interface
between two homogeneous anisotropic viscoelastic
(dissipative) halfspaces are discussed.
Algorithms for determining the slowness vectors
of reflected/transmitted plane waves from
the known slowness vector of the incident wave
are proposed. In viscoelastic media, the
slowness vectors of plane waves are complex-valued,
**p** = **P** + i**A**, where **P** is the
propagation vector, and **A** the attenuation vector.
The proposed algorithms may be
applied to bulk plane waves (**A** = **0**),
homogeneous plane waves (**A** .ne. **0**, **P** and **A**
parallel), and inhomogeneous plane waves
(**A** .ne. **0**, **P** and **A** non-parallel). The manner,
in which the slowness vector is specified,
plays an important role in the algorithms. For
unrestricted anisotropy and viscoelasticity,
the algorithms require an algebraic equation
of the sixth degree to be solved in each halfspace.
The degree of the algebraic equation
decreases to four or two for simpler cases
(isotropic media, plane waves in symmetry
planes of anisotropic media). The physical
consequences of the proposed algorithms are
discussed in detail.

### Keywords

Viscoelastic anisotropic media, reflection and transmission laws,
Snell's law.

### Whole paper

The reprint is available in
PDF (220 kB).

*Stud. geophys. geod.*, **51** (2007), 391-410.

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