Nonlinear and Inverse Problems in Electromagnetics

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.

Describes recently developed numerical methods for the solution of inverse problems in electromagnetics Provides numerical verification of the proposed new methods for solving inverse problems in electromagnetics Applies methods to experimentally measured electromagnetic data Helps stimulate further research in the area of electromagnetics

Auteur
L. Beilina is a professor in the Department of Mathematical Sciences at Chalmers University of Technology at the University of Gothenburg.
Yu. G. Smirnov is a professor at Penza State University.

Contenu
Alekseev, G.V. and Spivak, Y.E: Optimization Analysis of a 2D Magnetic Cloaking Problem for Bilayer Structure.- Derevyanchuk, E.D., Shutkov, A.S. and Smirnov, Y.G: Synthesis Problem and Mathematical Modeling of Multilayered Absorbing Coating.- Evstigneev, R.O. and Medvedik, M.Y: Inhomogeneity Parameters Reconstruction by Measurements of Near Field Outside the Body.- Smirnov, Y., Smolkin, E. and Kurseeva, V: Diraction of TE Polarized Electromagnetic Waves by a Layer with a Nonlinear Medium.- Angermann, L., Shestopalov, Y.V., Smirnov, Y.G. and Yatsyk, V.V: Nonlinear Multiparameter EV Problem.- Smolkin, E: Numerical Study of the Azimuthal Symmetric Hybrid Waves in a Nonlinear Cylindrical Waveguide.- Medvedik, M.Y., Smirnov, Y.G. and Tsupak, A.A: Two-step Method for Solving Inverse Problem of Diraction by an Inhomogenous Body.- Beilina, L. Niinimaki, K: Numerical Studies of the Lagrangian Approach for Reconstruction of the Conductivity in a Waveguide.- Beilina, L., Guillot, G. and Niinimaki, K: On Finite Element Method for Magnetic Resonance Imaging.- Beilina, L., Cristofol, M. and Li, S: Uniqueness, Stability and Numerical Reconstruction of a Time and Space-dependent Conductivity for an Inverse Hyperbolic Problem.