Nonlinear Diffusion of Electromagnetic Fields

WITH APPLICATIONS TO EDDY CURRENTS
AND SUPERCONDUCTIVITY

• Diffusion of Electromagnetic Fields in Magnetically Nonlinear Conducting Media (Linear Polarization)
  • Statement of the Problem
  • Nonlinear Diffusion in the Case of Abrupt (Sharp) Magnetic Transitions
  • Model Problem for Gradual Magnetic Transitions
  • Solution of the Model Problem (Self-Sirnilar Solutions)
  • Generalization of Self-similar Solutions
  • Standing Mode of Nonlinear Diffusion
  • Nonlinear Diffusion in a Cylinder
  • Applications to Circuit Analysis
  • Eddy Current Hysteresis and the Preisach Model
• Diffusion of Electromagnetic Fields in Magnetically Nonlinear Conducting Media (Vector Polarization)
  • Nonlinear Diffusion of Circularly Polarized Electromagnetic Fields in Isotropic Media
  • Perturbation Technique
  • Nonlinear Diffusion of Elliptically Polarized Electromagnetic Fields in Isotropic Media
  • Nonlinear Diffusion of Circularly Polarized Electromagnetic Fields in Anisotropic Media
  • Nonlinear Diffusion of Elliptically Polarized Electromagnetic Fields in Anisotropic Media
  • Eddy Current Losses in Thin Laminations
• Nonlinear Diffusion of Weak Magnetic Fields
  • Nonlinear Diffusion of Linearly Polarized Electromagnetic Fields
  • Nonlinear Diffusion of Circularly Polarized Electromagnetic Fields in Isotropic Media
• Nonlinear Diffusion in Superconductors
• Nonlinear Impedance Boundary Conditions and Their Application to the Solution of Eddy Current Problems
• Appendix A – The Preisach Model of Hysteresis