A new method for solving the induced surface current for arbitrary conducting bodies at resonant frequencies

It is well known that the incorrect surface current is given in the vicinity of the resonant frequencies using the method of moments to solve either the electric or magnetic field surface integral equation. The surface current that produces the correct scattered fields, referred to as the non-resonant mode current, can be obtained by using the singular value decomposition technique or the inverse power method, but it is not the real electric current induced on the object surface. A new method is presented to determine the correct surface current, which is composed of the non-resonant mode current and the normalized resonant mode current multiplied by an unknown complex factor. The unknown complex factor can be obtained by employing the condition that the total field must be zero at specified interior points. A numerical example is given for an infinitely long, perfectly conducting circular cylinder at interior resonance, and the computed surface currents are in good agreement with the analytical ones. The validity and accuracy of the presented method is thus verified.