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Remarks on the travelling wave decomposition

Geophysical Journal International

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DOI: 10.1046/j.1365-246X.2001.00271.x

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Abstract

In elastic wave propagation on a spherically symmetric earth model, a normal mode sum is converted into a sum of equivalent travelling waves by means of a travelling wave decomposition (TWD). For two decades, seismologists have assumed that each travelling wave in the TWD is associated with only real phase velocities, that is, no evanescent waves travel on a spherically symmetric earth model. In this paper, this assumption is proven false. By including a countably infinite set of waves travelling as evanescent waves, several conceptual difficulties confronting the TWD are resolved.

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Remarks on the travelling wave decomposition
Series title:
Geophysical Journal International
DOI:
10.1046/j.1365-246X.2001.00271.x
Volume
144
Issue:
2
Year Published:
2001
Language:
English
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Geophysical Journal International
First page:
233
Last page:
246
Number of Pages:
14