A new look at the 3D condensed node TLM scattering

A systematic impulse numbering scheme and impulse splitting operation are developed. This numbering scheme reveals the physics of the scattering procedure. The impulse splitting operation allows new scattering matrixes of special nodes to be derived in a straightforward manner. These special nodes can be used to model the sizes and positions of metallic boundaries with good accuracy without using an unnecessarily refined mesh. The impulse splitting operation can be generalized to model some boundary properties, such as sharp edges and corners, finite conductivity, skin effect, and implementation of discrete devices into a TLM (transmission line matrix) network, which cannot be modeled easily and accurately by placing the boundary half-way between nodes.<>