Abstract: An inversion algorithm for simulating 2D electromagnetic imaging in homogeneous medium by integral equations isdeveloped. The Born iteration method is adopted during inversion, which has the excellence of high resisting-noise ability andstability. The stabilized biconjugate-gradient fast Fourier transform (BCGS-FFT) algorithm for solving integral equations is adoptedin forward calculation. The interpolating function is chosen as basis and testing functions to get the weak-form discretization of theintegral equations. The discrete form of the integral equations is solved via the stabilized biconjugate-gradient iteration method, andthe distribution of the electric field within the inhomogeneous objects can be obtained. The BCGS iteration is accelerated by fastFourier transform (FFT). Inversion examples has shown the accuacy and efficiency of the algorithm.