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Approximate inversion of the mutual impedance matrix

The analysis of the radiation field from an array of antennas should take into account the mutual coupling effects between the elements. These effects are either evaluated computationally or measured experimentally. In any case, the mutual impedance matrix must be inverted to obtain the active currents (for dipoles) or voltages (for slots). This may turn into a cumbersome task for large arrays. Therefore. there exists the need for adopting a simplified technique of inversion. Using an approximate expansion will obviously yield some error in the accuracy of the results. However, employing only several terms within our following expansion gives a rather reasonable error and thus justifies using this algorithm.