The Colton-Monk method for treating inverse electromagnetic and acoustic problems is brieflyintroduced and extended from the case of two-dimensional starlike object to the case of non-starlike object. Themore general parameterization of the contour of the scatterer is applied to arbitrary smooth object. Computer simulahon results demonstrate that the modified method is effective and reveal the relationship between the reconstruction effect of this method and the frequency of the used elecbomagnetic waves.