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T-matrix Approach to Array Modeling

Abstract : The so-called T-matrix formulation for transducer array calculations is described from a theoretical standpoint. The methodology is then applied to an array problem whose solution can be found analytically, thereby producing a reference solution for comparing array calculations based upon FEM/BEM determined T-matrices. Three numerical codes have been tested for their accuracy in reproducing the exact T-matrix for a spherical shell. These in turn, are used to calculate the near and far field pressure for the reference array. It is demonstrated in the report that the methodology appears to be robust. Provided an "accurate" finite/boundary element model of a transducer is used to produce the transducer's T-matrix, "accurate" field pressure results for both the far and near field of the array can be found.