| Popis: |
This paper gathers useful simple algorithms and their physical interpretations for field solutions from incremental sources in 3D spatial, 2D spectral and 1D spectral domains. The interpretations of the 1D spectral Green’s functions are visualized in space as fields from current sheets, tubes and shells for the planar, circular-cylindrical and spherical cases, respectively. A joint algorithm is presented for solving the multilayer case for all three cases. Similarly, field problems involving cylindrical objects or Bodies of Revolution (BOR) are structured into spectrums of 2D spatial solutions from line sources and ringsources, respectively. The formulations and physical images are pedagogical and opens up for new creative ways of teaching electromagnetic field theory as well as structuring numerical algorithms for field solutions that take known symmetries into account. It is also shown that the 3D spatial Green’s functions can be approximated in order to improve physical interpretation by omitting higher order 1/r terms when r > lambda. |
