Time-domain reciprocity theorems for elastodynamic wave fields in solids with relaxations and their application to inverse problems (Q1110372)

Time-domain reciprocity theorems of the time-convolution and the time- correlation type for elastodynamic wave fields in linear, time-invariant, and locally reacting solids are discussed. Inhomogeneity, anisotropy, and arbitrary relaxation effects, both of the active (anti-causal) and passive (causal) kind, are included. The analysis is entirely carried out in space-time, without intermediate recourse to the frequency or the wavevector domains. The application to inverse source and inverse constituency (inverse profiling or scattering) problems is discussed.