Fu, C. Y. (1947) On seismic rays and waves (Part One). Bulletin of the Seismological Society of America, 37 (4). pp. 331-346. ISSN 0037-1106. https://resolver.caltech.edu/CaltechAUTHORS:20140731-155231534
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Abstract
The equations of motion of an elastico-viscous medium in which the material constants vary with position are deduced. These can be put into the form of a wave equation only when the gradients of the constants are small. By the method of Sommerfeld and Runge these equations are compared with the equation of the characteristic function, whence the condition for the validity of the ray method is obtained. It is similar to De Broglie's criterion in wave mechanics. Expressed in terms of measurable quantities in seismology, the condition is applied to the data recently obtained by Gutenberg for the upper layers of the earth's crust. The equation of the characteristic function is used in deriving the forms of the ray paths for several particular velocity functions, following a method previously used by Epstein.
| Item Type: | Article | ||||||
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| Additional Information: | Copyright © 1947, by the Seismological Society of America. Manuscript received for publication April 7, 1947. | ||||||
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| Issue or Number: | 4 | ||||||
| Record Number: | CaltechAUTHORS:20140731-155231534 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20140731-155231534 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 47745 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | George Porter | ||||||
| Deposited On: | 01 Aug 2014 14:35 | ||||||
| Last Modified: | 03 Oct 2019 06:56 |
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