LIU Lihan, CUI Xiaoying, CAI Jingqiu. Reciprocity gap method for an interior inverse scattering problem with a Neumann boundary condition[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2019,58(1):149-155.
LIU Lihan, CUI Xiaoying, CAI Jingqiu. Reciprocity gap method for an interior inverse scattering problem with a Neumann boundary condition[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2019,58(1):149-155. DOI: 10.13471/j.cnki.acta.snus.2019.01.019.
An interior inverse scattering problem with a Neumann boundary condition is studied by using reciprocity gap method. First
the conclusion that the position and shape of a cavity with a Neumann boundary condition can be uniquely determined by providing measurments of point sources inside the cavity is proven. Next
by following the idea of reciprocity gap method
a numerical algorithm to effectively reconstruct position and shape of an unknown cavity from interior measurements is designed. Finally
some numerical examples to validate the method are presented.
关键词
腔体内部反散射问题Neumann边界条件交互间隙法
Keywords
cavityinterior inverse scattering problemNeumann boundary conditionreciprocity gap method