The Study on Inversion of Wave Equation Based on Adaptive Homotopic Regularization Method

The inversion of wave equation has a widespread applications in practice in the detection of buried targets. It faces non-linear and ill-posedness difficulties. Aiming to the ill-posedness and non-linear nature of the inverse problem of wave equation, the widely convergent homotopy method and regularization method are combined to constructing of minimum optimization equation. The linear relationship between homotopy parameters and regularization parameters is constructed in order to avoid the uncertainty of regularization parameters selected by experience. Then the adaptive homotopy regularization inversion method is formed by combining this technique with the Regularization- Gauss-Newton method. The results of numerical experiments show that the method is effectively deal with nonlinear and ill-posedness problem of buried target detection