TY - JOUR
T1 - Wave-field representations with Green's functions, propagator matrices, and Marchenko-type focusing functions
AU - Wapenaar, C.P.A.
PY - 2022
Y1 - 2022
N2 - Classical acoustic wave-field representations consist of volume and boundary integrals, of which the integrands contain specific combinations of Green's functions, source distributions, and wave fields. Using a unified matrix-vector wave equation for different wave phenomena, these representations can be reformulated in terms of Green's matrices, source vectors, and wave-field vectors. The matrix-vector formalism also allows the formulation of representations in which propagator matrices replace the Green's matrices. These propagator matrices, in turn, can be expressed in terms of Marchenko-type focusing functions. An advantage of the representations with propagator matrices and focusing functions is that the boundary integrals in these representations are limited to a single open boundary. This makes these representations a suitable basis for developing advanced inverse scattering, imaging and monitoring methods for wave fields acquired on a single boundary.
AB - Classical acoustic wave-field representations consist of volume and boundary integrals, of which the integrands contain specific combinations of Green's functions, source distributions, and wave fields. Using a unified matrix-vector wave equation for different wave phenomena, these representations can be reformulated in terms of Green's matrices, source vectors, and wave-field vectors. The matrix-vector formalism also allows the formulation of representations in which propagator matrices replace the Green's matrices. These propagator matrices, in turn, can be expressed in terms of Marchenko-type focusing functions. An advantage of the representations with propagator matrices and focusing functions is that the boundary integrals in these representations are limited to a single open boundary. This makes these representations a suitable basis for developing advanced inverse scattering, imaging and monitoring methods for wave fields acquired on a single boundary.
UR - http://www.scopus.com/inward/record.url?scp=85124058953&partnerID=8YFLogxK
U2 - 10.1121/10.0009236
DO - 10.1121/10.0009236
M3 - Article
SN - 0001-4966
VL - 151
SP - 587
EP - 608
JO - The Journal of the Acoustical Society of America
JF - The Journal of the Acoustical Society of America
IS - 1
ER -