A method for the inversion of the transmission losses for the bottom reflection loss is proposed on the basis of the theory of the smooth- averaged sound field. The procedure of the inversion is based on the criterion...A method for the inversion of the transmission losses for the bottom reflection loss is proposed on the basis of the theory of the smooth- averaged sound field. The procedure of the inversion is based on the criterion of the least square error in the transmission losses between calculation and measurement. By using the Gauss - Newton iterative approach, the non - linear least square aloqrithm is equivalent to solving a sequence of lineared least square problems. The physical causes of the instability of the inversion problem are discussed and the stability is improved by means of the Levenberg- Marquardt method. Both numerical simulations with noise and experimental results show that the inversion for the bottom reflection loss of small grazing angle has high precision and the certain perturbation in the measured transmission losses does not lead to serious deviation in the inversion result of the bottom reflection loss.展开更多
基金The Project Supported by National Natural Science Fundation of China
文摘A method for the inversion of the transmission losses for the bottom reflection loss is proposed on the basis of the theory of the smooth- averaged sound field. The procedure of the inversion is based on the criterion of the least square error in the transmission losses between calculation and measurement. By using the Gauss - Newton iterative approach, the non - linear least square aloqrithm is equivalent to solving a sequence of lineared least square problems. The physical causes of the instability of the inversion problem are discussed and the stability is improved by means of the Levenberg- Marquardt method. Both numerical simulations with noise and experimental results show that the inversion for the bottom reflection loss of small grazing angle has high precision and the certain perturbation in the measured transmission losses does not lead to serious deviation in the inversion result of the bottom reflection loss.
