1980
DOI: 10.1111/j.1365-246x.1980.tb04317.x
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The coupling and attenuation of nearly resonant multiplets in the Earth's free oscillation spectrum

Abstract: The effect of attenuation on the coupling of nearly resonant multiplets in the Earth's free oscillation spectrum is investigated and numerical results are presented for several of the most strongly coupled low frequency multiplet pairs. The coupling influences considered are those of the Coriolis forces due to rotation and of the Earth's hydrostatic ellipticity of figure. It is found that the effects of attenuation (in particular the difference in Q-' for the two multiplets) can significantly change the splitt… Show more

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Cited by 211 publications
(211 citation statements)
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“…δm t s are the expansion coefficients of the 3D aspherical Earth structure: δm(r, θ, φ) = δm t s (r)Y t s (θ, φ) and M s are integral kernels which can be computed (Woodhouse and Dahlen, 1978;Woodhouse, 1980;Henson, 1989).…”
Section: Spectra Receiver Strips and Splitting Functionsmentioning
confidence: 99%
“…δm t s are the expansion coefficients of the 3D aspherical Earth structure: δm(r, θ, φ) = δm t s (r)Y t s (θ, φ) and M s are integral kernels which can be computed (Woodhouse and Dahlen, 1978;Woodhouse, 1980;Henson, 1989).…”
Section: Spectra Receiver Strips and Splitting Functionsmentioning
confidence: 99%
“…This coupling is a consequence of the Earth's rotation, ellipticity of figure, and lateral heterogeneity. Explicit expressions for its elements are given by Woodhouse [1980]. Similarly, a vertically polarized spheroidal mode acquires a transverse component of motion.…”
Section: Theory On a Spherically Symmetric Nonrotating Earth Model Smentioning
confidence: 99%
“…As a result, the inversion does not require a particularly good starting model and, as we demonstrate in this thesis, it can be successfully applied to areas with large structural diversity. Previous applications of the GSDF technique (Gahert and Jordan, 1995;Gaherty et ai., 1996;Kato and Jordan, 1997) have been based on a path-averaged, ID approximation, but here we apply for the first time an extension developed by Zhao and Jordan (1997) that calculates 2D Fréchet kernels for 13 or(w) by mode-coupling theory (Woodhouse, 1980(Woodhouse, , 1983Li and Tanimoto, 1993). The mode-coupling scheme in this implementation is made computationally efficient by takng advantage of the modal structure used in the synthesis of the isolation fiter.…”
Section: A New Tomographic Techniquementioning
confidence: 99%
“…In this thesis we utilize the 2D kernels for 8r(úJ) calculated by a coupled-mode algorithm that accounts for wave interactions in the vertcal source-receiver plane (Zhao and Jordan, 1997). The algorithm is based on first-order normal-mode perturbation theory (Woodhouse, 1980(Woodhouse, , 1983 and the heavy computational labor required for a full implementation of the theory is reduced in two ways. First, following Li and Tanimoto (1993), the angular functions are approximated by their asymptotic forms and a stationary-phase integration is performed in the direction transverse to the source-receiver plane, which reduces the kernel from 3D to 2D and decouples the toroidal and spheroidal modes.…”
mentioning
confidence: 99%