Reflection operator methods for elastic waves II - composite regions and source problems

Abstract

Reflection and transmission operator methods are particularly effective in problems where multiple reflections are important. When two regions are joined together, the overall reflection operators for the composite region can be built up from the reflection and transmission operators for the individual regions. The two regions are linked by a sequence of successive reflections between the zones which may be represented via a reverberation operator. For source problems, the model can be broken along a surface passing through the source and the overall displacement can be found by following the physical sequence of propagation processes. This leads to a representation in terms of reflection and transmission operators for the regions above and below the source. The two zones are linked by the reverberation operator for the structure, which determines the modal characteristics in the model. Show more