Phase shift of the Green tensor due to caustics in anisotropic media |
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| Authors: | Luděk Klime? |
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| Institution: | 1.Department of Geophysics, Faculty of Mathematics and Physics,Charles University,Praha 2,Czech Republic |
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| Abstract: | Equations are presented to determine the phase shift of the amplitude of the elastic Green tensor due to both simple (line)
and point caustics in anisotropic media. The phase-shift rules for the Green tensor are expressed in terms of the paraxial-ray
matrices calculated by dynamic ray tracing. The phase-shift rules are derived both for 2×2 paraxial-ray matrices in ray-centred
coordinates and for 3×3 paraxial-ray matrices in general coordinates. The reciprocity of the phase shift of the Green tensor
is demonstrated. Then a simple example is given to illustrate the positive and negative phase shifts in anisotropic media,
and also to illustrate the reciprocity of the phase shift of the Green tensor. |
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