Published October 1964
| Published
Journal Article
Open
Mode-ray duality
- Creators
- Ben-Menahem, Ari
Chicago
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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 _nω_l.
Additional Information
Copyright © 1964, by the Seismological Society of America. Manuscript received May 20, 1964. This research was supported by Contract AF-49(638)-1337 of the Air Force Office of Scientific Research Projects Agency Project VELA. Sir Harold Jeffreys and professor Ralph E. Lapwood kindly read the manuscript and suggested some useful modifications.Attached Files
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Additional details
- Eprint ID
- 48292
- Resolver ID
- CaltechAUTHORS:20140811-110817900
- Air Force Office of Scientific Research (AFOSR)
- AF-49(638)-1337
- Advanced Research Projects Agency (ARPA), project Vela
- Created
-
2014-08-12Created from EPrint's datestamp field
- Updated
-
2023-07-02Created from EPrint's last_modified field
- Other Numbering System Name
- Caltech Division of Geological Sciences
- Other Numbering System Identifier
- 1260