Introduction to the time domain wave-splitting and imbedding approach in one space dimension; Time domain wave-splitting Greens function approaches; Extensions of the one-dimensional wave-splitting approaches; Inverse problems related to fields from localized sources over a stratified half-space; Wave-splittings combined with optimization techniques; Time-harmonic wave-splitting approaches; Three-dimensional wave-splitting for the scalar wave and telegraph equations; Wave-splitting of Maxwells equations in IR3 and applications;
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