Polarization and amplitude attributes of reflected plane and spherical waves

Details Polarization and amplitude attributes of reflected plane and spherical waves Polarization and amplitude attributes of reflected plane and spherical waves

Mar 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998geoji.132..577j&link_type=abstract

Geophysical Journal International, Volume 132, Issue 3, pp. 577-583.

Astronomy and Astrophysics

Astronomy

1

Amplitude Coefficients, Polarization Angles, P Waves, Reflection, Spherical Waves

Scientific paper

The characteristics of a reflected spherical wave at a free surface are investigated by numerical methods; in particular, the polarization angles and amplitude coefficients of a reflected spherical wave are studied. The classical case of the reflection of a plane P wave from a free surface is revisited in order to establish our terminology, and the classical results are recast in a way which is more suited for the study undertaken. The polarization angle of a plane P wave, for a given angle of incidence, is shown to be 90° minus twice the angle of reflection of the reflected S wave. For a Poisson's ratio less than 1/3, there is a non-normal incident angle for which both amplification coefficients are 2 precisely; for this incident angle the direction of the particle motion at the free surface is also the direction of the incident wave. For a wave emanating from a spherical source, the polarization angle, for all angles of incidence, is always less than, or equal to, the polarization angle of a plane P wave. The vector amplification coefficient of a spherical wave, for all angles of incidence, is always greater than the vector amplification coefficient of a plane P wave. As expected, the results for a spherical wave approach the results for a plane P wave in the far field. Furthermore, there was a good agreement between the theoretical modelling and the numerical modelling using the dynamic finite element method (DFEM).

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