%0 Journal Article %T Inverse acoustic impedance obstacle problem
阻抗障碍物声散射的反问题 %A You Yun-Xiang %A Miu Guo-Peng %A
尤云祥 %A 缪国平 %J 物理学报 %D 2002 %I %X An inverse problem of recovering the shape of a sound-impedance obstacle from a knowledge of the far-field pattern of the acoustic scattering wave is investigated in this paper. A nonlinear optimization scheme is developed for solving the inverse problem, and a two-step adaptive iteration algorithm is proposed for numerically implementing the nonlinear optimization scheme. The use of the two-step procedure results in a large reduction in the number of unknowns in the nonlinear optimization step for determining the shape of the scatterer. The use of the adaptive iteration technique yields a considerable improvement in the quality of the reconstruction by utilizing the knowledge of the reconstruction obtained from the previous iteration step. Numerical experiments for several two-dimensional obstacles having a variety of shapes have been presented showing the practicality and effciency of the inversion approach. %K acoustic scattering %K inverse problem shape identification
声散射 %K 反问题 %K 物形反演 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=6868ECE47844B5D1DA920973F29B098D&yid=C3ACC247184A22C1&vid=987EDA49D8A7A635&iid=0B39A22176CE99FB&sid=B7BFA4B351E4C682&eid=B4E8EA49DAAEB84F&journal_id=1000-3290&journal_name=物理学报&referenced_num=4&reference_num=17