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Title: Two- Dimensional Inverse Scattering Problems of PEC and Mixed Boundary Scatterers
Authors: YE XIUZHU
Keywords: inverse scattering problem, optimization
Issue Date: 11-Jan-2012
Citation: YE XIUZHU (2012-01-11). Two- Dimensional Inverse Scattering Problems of PEC and Mixed Boundary Scatterers. ScholarBank@NUS Repository.
Abstract: This thesis studies several applications of subspace based optimization method (SOM) for solving two dimensional inverse scattering problems. The original contributions of this thesis are: Firstly, we proposed a perfect electric conductor (PEC) inverse scattering approach based on SOM, which is able to reconstruct PEC objects of arbitrary quantity and shape without requiring prior information on the approximate locations or the quantity of the unknown scatterers. Two editions of the approach are introduced. In the first edition, a binary vector serves as the representation for scatterers, such that the optimization method involved is the discrete type steepest descent method. In the second edition, a continuous expression for the binary vector is introduced which enables the usage of the alternative two-step conjugate-gradient optimization method. The second edition is more robust and faster convergence than the first one. Secondly, by successfully extending the SOM to the modeling scheme of T-matrix method, we solved the challenging problem of reconstructing a mixture of both PEC and dielectric scatterers together. Thirdly, we propose a modified SOM to solve the separable obstacle problem. Various numerical results are carried out to validate the proposed methods.
Appears in Collections:Ph.D Theses (Open)

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