Surface Wave Propagation In A Slowly Varying Anisotropic Waveguide

Jeroen Tromp, F. A. Dahlen

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16 Scopus citations


We present a JWKB theory which describes the propagation of seismic surface waves in a laterally heterogeneous, anisotropic waveguide. We introduce a local dispersion relation and local vertical eigenfunctions which depend explicitly on the direction of the local wavevector as a consequence of the anisotropy. the variation of amplitude along a surface wave ray path is determined by a conservation law for the surface wave energy. Apart from the usual dynamical phase, which is the integral of the local wavevector along a ray path, there is an additional variation in phase in a general anisotropic waveguide. This additional phase, which is an analogue of the Berry phase in adiabatic quantum mechanics, vanishes in a waveguide with a local vertical two‐fold symmetry axis or a local horizontal mirror plane.

Original languageEnglish (US)
Pages (from-to)239-249
Number of pages11
JournalGeophysical Journal International
Issue number1
StatePublished - Apr 1993

All Science Journal Classification (ASJC) codes

  • Geophysics
  • Geochemistry and Petrology


  • Berry phase
  • JWKB theory
  • anisotropy
  • surface waves.


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