Bulletin of the Seismological Society of America
HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS
QUICK SEARCH:   [advanced]


     

Bulletin of the Seismological Society of America; October 1964; v. 54; no. 5A; p. 1315-1321
© 1964 Seismological Society of America
This Article
Right arrow Full Text (PDF)
Right arrow References
Right arrow Citation Map
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Download to citation manager
Citing Articles
Right arrow Citing Articles via HighWire
Right arrow Citing Articles via Google Scholar
Google Scholar
Right arrow Articles by BEN-MENAHEM, A.
Right arrow Search for Related Content
GeoRef
Right arrow GeoRef Citation

Mode-ray duality

ARI BEN-MENAHEM

SEISMOLOGICAL LABORATORY CALIFORNIA INSTITUTE OF TECHNOLOGY, PASADENA, CALIFORNIA

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 n{omega}l.




This article has been cited by other articles:


Home page
 Bulletin of the Seismological Society of AmericaHome page
A. Ben-Menahem
A concise history of mainstream seismology: Origins, legacy, and perspectives
Bulletin of the Seismological Society of America, August 1, 1995; 85(4): 1202 - 1225.
[Abstract] [PDF]

Home page
 Bulletin of the Seismological Society of AmericaHome page
A. A. NOWROOZI
Characteristic periods of fundamental and overtone oscillations of the earth following a deep-focus earthquake
Bulletin of the Seismological Society of America, February 1, 1972; 62(1): 247 - 274.
[Abstract] [PDF]

Home page
 Bulletin of the Seismological Society of AmericaHome page
J. MARTINEK, H. P. THIELMAN, and E. C. HUEBSCHMAN
The effects of an oscillatory source in a spherical layer surrounding a liquid core
Bulletin of the Seismological Society of America, December 1, 1966; 56(6): 1387 - 1412.
[Abstract] [PDF]

Home page
 Bulletin of the Seismological Society of AmericaHome page
A. BEN-MENAHEM, S. W. SMITH, and T.-L. TENG
A procedure for source studies from spectrums of long-period seismic body waves
Bulletin of the Seismological Society of America, April 1, 1965; 55(2): 203 - 235.
[Abstract] [PDF]

Home page
 Bulletin of the Seismological Society of AmericaHome page
J. N. BRUNE
Travel times, body waves, and normal modes of the earth
Bulletin of the Seismological Society of America, December 1, 1964; 54(6A): 2099 - 2128.
[Abstract] [PDF]


HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS
Copyright © 1964 by the Seismological Society of America.