Intro; Foreword; Contents; 1 Introduction; 2 Magnetic Materials and Magnetization Process; 2.1 Maxwell Equations and Magnetostatic Simplification; 2.2 Physical Principles of Magnetization Process; 2.3 Overview of Soft Magnetic Materials; 2.4 Models of Magnetic Characteristics of Soft Magnetic Materials; 2.4.1 Phenomenological Models; 2.4.2 Jiles-Atherton Model; 2.4.3 Preisach Model; References; 3 Thin-Layer Based Devices; 3.1 Fluxgates with Thin Layer Cores; 3.2 Thin Layer Magnetic Flux Concentrators; 3.3 Ships and Other Nut-Shell Objects; References; 4 Magnetostatic Modelling

4.1 Finite Elements Method4.1.1 Principles of Finite Elements Method; 4.1.2 Meshing and Discretization; 4.1.3 Solving Partial Differential Equations; 4.1.4 Interpolation and Presentation of the Results; 4.1.5 Limitations of the Finite Element Method; 4.2 Method of the Moments; 4.2.1 Magnetic Dipole; 4.2.2 Demagnetization of Magnetic Elements; References; 5 Analysis of 1D, 2D and 3D Systems Using the Method of Moments; 5.1 Thin Rod; 5.2 Cylindrical Rod; 5.3 Flat Rod; 5.4 Generalization of the Method of Moments for Rods; 5.5 Thin Layer; 5.5.1 Thin Layer with Uniform Mesh

5.5.2 Thin Layer with Adaptive Mesh5.6 3D Objects; 5.6.1 Thin Shells; 5.6.2 Bulk Objects; 5.7 Considering Non-linear Magnetization Characteristic; 5.8 Solving Large Systems of Linear Equations; 5.9 Optimisation of Calculations; References; 6 Practical Examples; 6.1 Optimisation of the Shape of Thin Layer, Ring-Shaped Fluxgate Sensor; 6.2 Analysis of Thin Layer Magnetic Flux Concentrator; Reference; 7 Final Remarks and Conclusions