Open AccessOn elastic wave calculations in a sphere using moment tensor sources
Author(s) -
Ward Steven N.
Publication year - 1981
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1981.tb05945.x
Subject(s) - tensor (intrinsic definition) , classical mechanics , propagator , mathematical analysis , physics , boundary value problem , wave equation , representation (politics) , moment (physics) , displacement (psychology) , equations of motion , field (mathematics) , matrix (chemical analysis) , mathematics , geometry , mathematical physics , psychology , materials science , composite material , politics , political science , pure mathematics , law , psychotherapist
Summary. Propagator matrix solutions to the elastic equations of motion in spherically symmetric, inhomogeneous media with moment tensor sources are recast into a simple and intuitively satisfying form which is applicable to both exact and approximate calculations. The transformed expression benefits from the analogous equations of normal mode excitation, while clearly distinguishing the finer partitions of the displacement field and the more flexible boundary conditions that body wave formulations provide. I believe that this new representation, because of its many advantages, should be favoured as the foundation for elastic wave calculations in a sphere.