The contribution deals with a brief survey on selected parts of the theory and applications of multipole analysis in Electromagnetics. The theory will be explained exemplarily on the basis of the spherical-multipole analysis, including some remarks on the bilinear form of the dyadic Green's function and the addition theorems of the vector multipole functions. In addition to some well-known examples of multipole techniques in analytical as well as in computational Electromagnetics (canonical problems, near-field antenna measurements, fast multipole method), which are briefly revisited, the paper focuses on two more recent applications: A spherical-multipole based near-to-far-field transform for the Finite-Difference Time-Domain (FDTD) method, and an efficient hybrid multipole- and Method-of-Moments approach to efficiently solve for the field in a partly filled G-TEM cell model.
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