Linearized scattering of surface waves on a spherical Earth
Item
Title (Dublin Core)
en-US
Linearized scattering of surface waves on a spherical Earth
Description (Dublin Core)
en-US
Recently, a formalism for three-dimensional surface-wave scattering in a plane geometry was derived. Since teleseismic surface-wave data are generally recorded at epicentral distances large enough to be influenced by the sphericity of the Earth, it is necessary to find the effects of a spherical geometry on surface-wave scattering. The theory of surface-wave scattering relies heavily on a dyadic decomposition of the Green's function, and a new derivation is given for the (dyadic) Green's function of a spherically symmetric Earth. This new derivation employs Poisson's sum formula and is more rigorous than previous derivations. Using the dyadic Green's function, a relation is established with the scattering theory in a flat geometry. This finally leads to a linearized formalism for three-dimensional surface-wave scattering on a sphere. Even for shallow surface waves the effects of sphericity are important and necessitate a modification of the propagator terms in the expression for the scattered surface waves.
ARK: https://n2t.net/ark:/88439/y032183
Permalink: https://geophysicsjournal.com/article/78
ARK: https://n2t.net/ark:/88439/y032183
Permalink: https://geophysicsjournal.com/article/78
Creator (Dublin Core)
Snieder, R.
Nolet, G.
Subject (Dublin Core)
en-US
Seismology
en-US
Normal modes
en-US
Surface waves
en-US
Scattering
en-US
Inversion
en-US
Theory
Publisher (Dublin Core)
en-US
Journal of Geophysics
Date (Dublin Core)
1987-04-23
Type (Dublin Core)
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
en-US
Peer-reviewed Article
Format (Dublin Core)
application/pdf
Identifier (Dublin Core)
https://journal.geophysicsjournal.com/JofG/article/view/78
Source (Dublin Core)
en-US
Journal of Geophysics; Vol 61 No 1 (1987): Journal of Geophysics; 55-63
2643-2986
2643-9271
Language (Dublin Core)
eng
Relation (Dublin Core)
https://journal.geophysicsjournal.com/JofG/article/view/78/38