Abstract
A novel method is developed for solving the inverse obstacle scatteringproblem in near-field imaging. The obstacle surface is assumed to be a small andsmooth deformation of a circle. Using the transformed field expansion, thedirect obstacle scattering problem is reduced to a successive sequence oftwo-point boundary value problems. Analytical solutions of these problems arederived by a Green's function method. The nonlinear inverse problem islinearized by dropping the higher order terms in the power series expansion.Based on the linear model and analytical solutions, an explicit reconstructionformula is obtained. In addition, a nonlinear correction scheme is devised toimprove the results dramatically when the deformation is large. The methodrequires only a single incident wave at a fixed frequency. Numerical tests showthat the method is stable and effective for near-field imaging ofobstacles with subwavelength resolution.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
