A spectral hybrid EBA method for integral equations

We develop a novel spectral hybrid extended Born approximation (EBA) to solve integral equations in electromagnetic wave propagation and scattering problems. The method is a hybridization of the (EBA) and the conjugate gradient-fast Fourier transform (CG-FFT) method. To efficiently solve a two-dimensional integral equation from electromagnetic induction measurements, we have first used the fast Fourier transform to speed up the extended Born approximation to achieve a fast approximate method, referred to as the FFT-EBA method. Then we use the FFT-EBA as a partial preconditioner for the CG-FFT method to arrive at the efficient full-wave EBA-CGFFT method.