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Electromagnetic inverse scattering problems

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Electromagnetic inverse scattering problems

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Mục lục

  • Introduction

    • What is inverse scattering problem?

    • Review of the approaches to inverse scattering problems

      • Inversion methods for full-data measurement

      • Inversion methods for phaseless-data measurement

      • Mathematical and physical preliminaries

        • Maxwell's equations and constitutive relationships

        • Helmholtz equations in homogeneous media

        • Dyadic Green's function in homogeneous media

        • Green's Function for cylindrical geometry

        • The method of moments (MoM)

        • The coupled dipole method (CDM)

        • A glimpse at Wirtinger calculus for optimization

        • Synopsis of this thesis

        • Full Data Subspace-based Optimization Method

          • Original contributions

          • FD-SOM in the framework of CDM

            • Formulation of the forward scattering problem

            • FD-SOM in the framework of MoM

              • Formulation of the forward scattering problem

              • Comparison among the variants of SOM

                • The forward scattering problem

                • Subspace-based optimization method and its variants

                • Numerical Simulations and Comparisons

                • Phaseless Data Subspace-based Optimization Method

                  • Original contributions

                  • Formulation of forward scattering problem

                  • Phaseless Data Subspace-based optimization method

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