Time Domain Wave-splittings and Inverse Problems

1. Introduction to the time domain wave-splitting and imbedding approach in one space dimension ; 2. Time domain wave-splitting Green's function approaches ; 3. Extensions of the one-dimensional wave-splitting approaches ; 4. Inverse problems related to fields from localized sources over a stratified half-space ; 5. Wave-splittings combined with optimization techniques ; 6. Time-harmonic wave-splitting approaches ; 7. Three-dimensional wave-splitting for the scalar wave and telegraph equations ; 8. Wave-splitting of Maxwell's equations in IR3 and applications