
doi: 10.1137/100814780
handle: 11567/303571
The authors investigate the role of point sources and their power fluxes in the linear sampling method (LSM). They analyze the mechanism of power flux transport throughout the background medium for acoustic waves from both a global and local view point: in the later case, the importance of the flow tubes of the scattered field is highlighted. The authors also extend their previous investigation, both from a numerical and theoretical view point, to the visualization provided by the LSM outside the scatterer. In the appendix, the authors prove a minimum property for cones inscribed in a half sphere.
Linear integral equations, linear sampling method, Inverse problems (including inverse scattering) in optics and electromagnetic theory, qualitative inverse scattering, Numerical methods for integral equations, acoustic waves, Numerical methods for inverse problems for integral equations
Linear integral equations, linear sampling method, Inverse problems (including inverse scattering) in optics and electromagnetic theory, qualitative inverse scattering, Numerical methods for integral equations, acoustic waves, Numerical methods for inverse problems for integral equations
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