Ben-Menahem, Ari (1964) Mode-ray duality. Bulletin of the Seismological Society of America, 54 (5A). pp. 1315-1321. ISSN 0037-1106. https://resolver.caltech.edu/CaltechAUTHORS:20140811-110817900
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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.
| Item Type: | Article | ||||||
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| 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. | ||||||
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| Issue or Number: | 5A | ||||||
| Record Number: | CaltechAUTHORS:20140811-110817900 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20140811-110817900 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 48292 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | George Porter | ||||||
| Deposited On: | 12 Aug 2014 18:17 | ||||||
| Last Modified: | 03 Oct 2019 07:02 |
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