Born series in obstacle scattering Original Research Article

A Born series is derived for obstacle scattering without using integral equations. It is demonstrated that the Born approximation satisfies reciprocity relation manifestly which is not the case if integral equations are used. Moreover, the determination of a Born term of any order using this approach has reveal numerical and computational advantages. In addition, since the method does not use integral equations, the solutions obtained are not affected by the interior spectrum of the adjoint problems.