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foreign [Music] welcome to this presentation of the paper unified theory characteristic moves my name is Max Gustafson and this is Joint work with Lucas Kurt and miloslav so in this paper what we do is that we unify the characteristic mode Theory based on scattering in Metro moments matrices developed more than 50 years ago the formulation provides physical insight and understanding about what characteristic modes are it can handle complex shapes and complex materials its natural for tracking interpolation and effective losses it can be used in arbitrary solvers Metro moments finite elements FDT we also provide codes so you can try it yourself in your favorite commercial solver to show the unification we start with the method moments formulation and we only do one change from the typical formulation of the Herrington Mouse is that we divide this into two matrices u t u and in the scattering formulation we let the U here denote the expansion of spherical waves so we have some structur