Open AccessSimple analytical Green's functions for ray perturbations in layered media
Author(s) -
Moore Beverley J.
Publication year - 1993
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1993.tb01515.x
Subject(s) - propagator , slowness , simple (philosophy) , mathematical analysis , function (biology) , quadratic equation , green's function , green s , boundary value problem , expression (computer science) , mathematics , constant (computer programming) , physics , geometry , mathematical physics , computer science , quantum mechanics , philosophy , epistemology , evolutionary biology , biology , programming language
The total Green's function for two‐point boundary‐value problems can be related to the propagator for initial‐value problems. A very simple expression for the Green's function is obtained when the unperturbed medium may be described by material with a constant gradient in quadratic slowness. The derivation requires a correct understanding of assumptions made in the propagator solution. Expressions are also obtained for Green's function in multilayered media.