Nonlinear and Inverse Problems in Electromagnetics

Description

This volume provides academic discussion on the theory and practice of mathematical analysis of nonlinear and inverse problems in electromagnetics and their applications. From mathematical problem statement to numerical results, the featured articles provide a concise overview of comprehensive approaches to the solution of problems. Articles highlight the most recent research concerning reliable theoretical approaches and numerical techniques and cover a wide range of applications, including acoustics, electromagnetics, optics, medical imaging, and geophysics. The nonlinear and ill-posed nature of inverse problems and the challenges they present when developing new numerical methods are explained, and numerical verification of proposed new methods on simulated and experimental data is provided. Based on the special session of the same name at the 2017 Progress in Electromagnetics Research Symposium, this book offers a platform for interaction between theoretical and practical researchers and between senior and incoming members in the field. Front Matter ....Pages i-viii Optimization Analysis of a 2D Magnetic Cloaking Problem for Bilayer Structure (G. V. Alekseev, Y. E. Spivak)....Pages 1-18 Synthesis Problem and Mathematical Modeling of Multilayered Absorbing Coating (E. D. Derevyanchuk, A. S. Shutkov, Yu. G. Smirnov)....Pages 19-27 Reconstruction of Inhomogeneity Parameters by Measurements of Near Field Outside the Body (R. O. Evstigneev, M. Yu. Medvedik)....Pages 29-38 Diffraction of TE Polarized Electromagnetic Waves by a Layer with a Nonlinear Medium (Yu. G. Smirnov, E. Smolkin, V. Kurseeva)....Pages 39-53 A Nonlinear Multiparameter EV Problem (L. Angermann, Yu. V. Shestopalov, Yu. G. Smirnov, V. V. Yatsyk)....Pages 55-70 Numerical Study of the Azimuthal Symmetric Hybrid Waves in a Nonlinear Cylindrical Waveguide (E. Smolkin)....Pages 71-82 Two-Step Method for Solving Inverse Problem of Diffraction by an Inhomogenous Body (M. Yu. Medvedik, Yu. G. Smirnov, A. A. Tsupak)....Pages 83-92 Numerical Studies of the Lagrangian Approach for Reconstruction of the Conductivity in a Waveguide (L. Beilina, K. Niinimäki)....Pages 93-117 On Finite Element Method for Magnetic Resonance Imaging (L. Beilina, G. Guillot, K. Niinimäki)....Pages 119-132 Uniqueness, Stability and Numerical Reconstruction of a Time and Space-Dependent Conductivity for an Inverse Hyperbolic Problem (L. Beilina, M. Cristofol, S. Li)....Pages 133-145