## Reflection/transmission laws in viscoelastic
anisotropic media

**Vlastislav Cerveny**
### Summary

The reflection/transmission 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 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 (**P** and **A**
parallel), and inhomogeneous plane waves (**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

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In: Seismic Waves in Complex 3-D Structures, Report 14,
pp. 181-196, Dep. Geophys., Charles Univ., Prague, 2004.

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