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We consider the inverse problem of determining an unknown vectorial sourcecurrent distribution associated with the homogeneous Maxwell system. We proposea novel non-iterative reconstruction method for solving the aforementionedinverse problem from far-field measurements. The method is based on recoveringthe Fourier coefficients of the unknown source. A key ingredient of the methodis to establish the relationship between the Fourier coefficients and themulti-frequency far-field data. Uniqueness and stability results areestablished for the proposed reconstruction method. Numerical experiments arepresented to illustrate the effectiveness and efficiency of the method.

Fourier method for identifying electromagnetic sources with multi-frequency far-field data