Statistics – Computation
Scientific paper
Feb 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003esasp.517..365p&link_type=abstract
In: Proceedings of SOHO 12 / GONG+ 2002. Local and global helioseismology: the present and future, 27 October - 1 November 2002,
Statistics
Computation
Helioseismology, Time-Distance, Ray Inversions
Scientific paper
The insensitivity of wave travel times to small-scale perturbations of the medium encountered along a ray path has been appreciated for some time, and has been demonstrated quantitatively both in geophysical and helioseismic contexts using a variety of "toy" problems for which the actual wave behavior can be assessed with high fidelity. I explore here, in the context of one such problem, the hypothesis that ray-based inversions - which nominally remain sensitive to such perturbations - nonetheless can, even in their presence, usefully characterize perturbations to the medium at scales larger than that bounding the ray domain of validity. The results from the ray-based inversions undertaken here approximate a smoothed (at the bounding scale) representation of the actual perturbations, which range in scale across this limit. Thus, although constituting only a small and highly idealized sample, they tend to support this hypothesis, suggesting that ray-based inversions may provide a viable option in situations where computational efficiency, or the adequacy of first-order results, is at issue. Issues raised by the incorporation of higher-order effects such as refraction into ray inversions are also addressed.
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