Mode-ray duality

Author:

Ben-Menahem Ari1

Affiliation:

1. Seismological Laboratory California Institute of Technology Pasadena, California

Abstract

Abstract Earlier results in the theory of terrestrial radio waves are applied to seismology. A partial field of the complete eigen-value solution for a sphere can be interpreted as real rays. Watson's transformation and the WKBJ approximation are employed to establish links between the index trio (l, m, n) of a mode and the corresponding parameters of the ray trajectory associated with this mode. It is shown that Snell's law for rays and Jean's formula are complementary. The condition of constructive interference is expressed as an integral equation for the eigen-frequencies nωl.

Publisher

Seismological Society of America (SSA)

Subject

Geochemistry and Petrology,Geophysics

Cited by 21 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Acoustic Tomography of Solar Convective Flows And Structures;SCORe ’96: Solar Convection and Oscillations and their Relationship;1997

2. Mode-sum to ray-sum transformation in a spherical and an aspherical earth;Geophysical Journal International;1996-08

3. Asymptotic normal modes of the Earth-III. Fréchet kernel and group velocity;Geophysical Journal International;1995-07

4. Asymptotic normal modes of the Earth-II. Eigenfunctions;Geophysical Journal International;1995-05

5. Asymptotic eigenfrequencies of the Earth's normal modes;Geophysical Journal International;1993-12

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