期刊论文

Yang, Jiaqing

英文

SIAM JOURNAL ON IMAGING SCIENCES

1936-4954

2017

10

3

1579-1602

10.1137/16M1097997

NNSF of ChinaNational Natural Science Foundation of China (NSFC) [11401568, 11771349, 11601042, 11601308]; China Postdoctoral Science FoundationChina Postdoctoral Science Foundation [2015M580827, 2016T90900]; Postdoctoral research project of Shaanxi Province of China [2016BSHYDZZ52]; Shanghai Education Development Foundation; Shanghai Municipal Education CommissionShanghai Municipal Education Commission (SHMEC) [15CG35]; Science and Technology Commission of Shanghai MunicipalityScience & Technology Commission of Shanghai Municipality (STCSM) [16PJ1402900]

本校为其他机构

Consider the scattering of a time-harmonic point source from an unbounded rough surface. The surface is assumed to be different from a plane surface over a finite interval, which leads to the situation that the model problem can be reduced to an equivalent boundary value problem with compactly supported boundary data. Well-posedness is thus proved by employing the variational method with classical Fredholm theory. By constructing a modified near-field equation, we then propose a novel sampling-type method for reconstructing the shape and location of the local rough surface, yielding a fast ima...