Note: Förderkennzeichen BMBF 22007100. - Verbund-Nr. 01021553. - Literaturverz , Unterschiede zwischen der gedruckten und der elektronischen Dokumentversion sind möglich , Auch als gedr. Ausg. vorh , Systemvoraussetzungen: Acrobat reader.

Note: Intro -- MAGNETIC FIELDS -- CONTENTS -- 1 FOUNDATION OF MAGNETIC FIELD THEORY -- 1.1 Maxwell's Field Equations -- Introduction -- Differential equations -- Material-related electromagnetic quantities -- Magnetic quantities -- Magnetic charges and nonsolenoidal fields -- Example: Magnetic rod -- Electric quantities -- Ohm's law -- 1.2 Electromagnetic Field Approximations -- Magnetostatics and electrostatics -- Quasistationary magnetic fields -- Quasistationary electric fields -- 1.3 Electrodynamics of Moving Media -- Coordinate frames of reference -- Moving coordinate system -- Maxwell-Lorentz transformation -- Maxwell-Galilean transformation -- Moving media -- 1.4 Alternative Electromagnetic Equations -- Integral laws -- Ampère's law -- Faraday's law -- Miscellaneous laws -- Diffferential laws -- Current densities -- Magnetic circuits -- 1.5 Boundary Conditions -- Field conditions -- General conditions -- Nonsuperconducting media -- Example: Calculation of the conditions -- Current density conditions -- Moving boundaries -- 2 MAGNETIC POTENTIALS -- 2.1 Magnetic Scalar Potential -- Potential in empty space -- Definitions and solutions -- Boundary conditions -- Axisymmetric systems -- General equations -- Expansion near the axis -- Example: Diamagnetic sphere -- Two-dimensional plane systems -- General equations -- Example: Transverse field on diamagnetic rod -- The conformal transformation method -- Example: Parallel lines -- Potential in and outside magnetized material -- Example: Permanent spherical magnet -- Example: Magnetized sphere -- Method of images -- 2.2 Magnetic Vector Potential -- Basic equations and solutions -- Equations -- Solutions -- Boundary conditions -- Retarded potentials -- Axisymmetric systems -- Plane two-dimensional systems -- Biot-Savart law -- Filamentary conductor -- Multipole expansion -- Magnetic dipole. , 2.3 Fields in Cylindrical and Straight Conductors -- Circular loop -- Multiloop system -- Coil pair -- Field shaping -- Thin solenoid -- Thick solenoid -- Bitter solenoid -- Toroidal magnets -- Straight conductors -- Example: Rectangular bar conductor -- Example: Strip conductor -- Example: Two-dimensional multipole configurations -- Saddle-shaped coils -- Short filamentary coil -- Long coils -- 2.4 Inductance of Conductors -- Self-inductance -- Filamentary approximation -- Faraday law -- Example: Wire transmission line -- Mutual inductance -- Filamentary approximation -- General expressions -- 2.5 Structure of Magnetic Fields -- Magnetic field lines -- Magnetic surfaces -- Toroidal surfaces -- 3 PERIODIC FIELDS AND WAVE PHENOMENA -- 3.1 Complex Functions -- Sinusoidal functions -- Complex variables and functions -- Example: Conformal transformations -- Complex vectors -- 3.2 Sinusoidal and Rotating Electromagnetic Fields -- Electromagnetic equations -- Generalized wave equations -- Magnetic potential -- Rotating magnetic fields -- Two-phased coil arrangement -- Three-phased coil arrangement -- 3.3 Wave Phenomena -- Wave equations -- Example: Radiation from a Hertzian dipole -- Plane waves in a uniform medium -- Plane waves in a conducting medium -- 4 MAGNETIC FIELD DIFFUSION AND EDDY CURRENTS -- 4.1 Magnetic Diffusion Theory -- General equations for a solid conductor -- Quasistationary diffusion equations -- Solutions to the diffusion problem -- Solutions and analogies -- Response to a step-function field -- Generalization -- Diffusion time -- 4.2 Field Diffusion into Plane Conductors -- Half-space conductor -- Step-function field -- General solution -- Characteristic diffusion parameters -- Special boundary fields on half-space -- Transient polynomial fields -- Transient sinusoidal field -- Steady sinusoidal field -- Exponential field. , Slab conductor -- Step-function field -- Steady sinusoidal field -- 4.3 Field Diffusion in Cylindrical Geometry -- Equations in simple geometry -- One-dimensional equations -- Axisymmetric equations -- Two-dimensional equations -- Diffusion of axial fields -- Step-function field on a rod -- Steady sinusoidal field on a rod -- Diffusion through a hollow conductor -- Diffusion of transverse fields -- Transverse step-function field on a rod -- Steady and rotating transverse fields -- Transverse diffusion through a hollow conductor -- 4.4 Eddy Currents -- The eddy current approach -- Two-dimensional currents in sheets -- The thin-sheet approximation -- Field equations -- Vector potential equations -- Example: Thin disc -- Example: Moving thin disc -- Example: Moving sheet -- Eddy currents in cylindrical shells -- Limiting cases -- The thin-walled shell -- The magnetically thin shell -- Example: Transverse field on thin shell with gaps -- Magnetic shielding -- Example: Shielding of a steady sinusoidal field -- Example: Shielding by a thick hollow conductor -- Example: Shielding by a thin hollow conductor -- 4.5 Diffusion in Electric Circuits -- Lumped circuits -- Skin-effect impedance -- Example: Step-function current on plane conductor -- Example: Step-function current on a rod -- Generalization of the results and equivalent circuits -- Alternating currents -- 5 ELECTROMAGNETIC AND THERMAL ENERGIES -- 5.1 Electromagnetic Energy Equations -- Electromagnetic energy -- Field equations -- Potential equations -- Sinusoidal fields -- Inductive energy -- Example: Coaxial transmission line -- Thermal energy -- Example: Thermal diffusion in slab -- 5.2 Magnetic Heating in Constant Conductivity Conductors -- Dffusion heating -- joule's law -- Energy equations -- Heating in the conducting half-space -- Polynomial field -- Step-function field -- Sinusoidal field. , Energy skin depth -- Heating of thick sheets and cylindrical conductors -- Slab -- Rod -- Hollow cylindrical conductor -- 5.3 Heating in Thin Conductors -- Plane and cylindrical geometries -- Thin slab -- Thin rod -- Thin disc -- Electric conductivity law -- Temperature-dependent conductivity -- Current integral -- Diffusion and heating in hollow conductors -- Example: Step-function field diffusion -- Example: Transient sinusoidal field diffusion -- Example: Steady sinusoidal heating -- 5.4 Nonlinear Magnetic Diffusion -- Nonlinear diffusion equations -- One-dimensional diffusion -- An approximated solution -- Energy skin depth -- Diffusion and heating in magnetic materials -- Steady sinusoidal magnetic field heating -- Ferromagnetic induction heating -- Ferromagnetic hysteresis heating -- 6 MAGNETIC FORCES AND THEIR EFFECTS -- 6.1 Electromagnetic Forces -- Elemental forces -- Lorentz force -- Biot-Savart force -- Electromagnetic force density -- Forces on finite bodies -- Magnetic force density -- Example: Axisymmetric force density -- Maxwell's magnetic stress tensor -- Magnetic multipole expansion -- More on electromagnetic forces and torques -- 6.2 Magnetic Forces on Rigid Conductors -- Inductive forces -- Virtual work formalism -- Loops and solenoids -- Magnetic suspension and braking -- Magnetic dipole suspension -- Magnetic braking -- Example: Moving disc -- Example: Moving sheet -- Example: Rotating sheet -- Homopolar generator -- Magnetic levitation -- Ferromagnetic track -- Conducting track -- Magnetomechanical machines -- Rotating machines -- Synchronous machines -- Induction machines -- More on magnetomechanical machines -- Forces within a conductor -- 6.3 Magnetic Propulsion Effects in Conducting Sheets -- Plane sheet propulsion -- Equation of motion -- Thermal velocity limitation for thin conductors -- Shock waves -- Ablation effect. , Velocity limitation for thick conductors -- Implosion of a cylindrical sheet -- General equations -- Constant current driver -- 6.4 Acceleration and Trajectories of Particles -- Equation of motion -- Pellet acceleration methods -- Magnetic acceleration -- Magnetic dipole acceleration -- Diamagnetic sphere -- Example: Toroidal coil -- Magnetic rail gun -- Particle trajectories in electromagnetic fields -- Cartesian equations -- Motion in static, uniform fields -- Motion in variable fields -- Motion in axisymmetric fields -- Example: Trajectories in toroidal fields -- Electromagnetic optics -- 7 MAGNETOMECHANICAL STRESSES -- 7.1 Stress-Strain Relations and their Limits -- The stress tensor -- Elastic stress-strain relations -- The displacement vector -- Effects of thermal expansion -- Thermoelasticity in dynamic system -- Failure criteria -- 7.2 Stresses in Solenoidal Magnets -- Thick cylinder and disk -- Solenoidal coils -- Yielding in cylindrical containers -- Thin-walled cylindrical magnet -- Dynamic containment -- 7.3 Stresses in Toroidal Magnets -- Container shell of general shape -- Toroidal magnet -- Toroidal magnet with constant stress -- 7.4 Force-Free Fields and Current Distributions -- General formulation -- Force-free configurations -- Plane geometry -- Cylindrical geometry -- Spherical geometry -- Variable-pitch solution -- 8 MAGNETOHYDRODYNAMICS AND PROPERTIES OF MATTER -- 8.1 Magnetohydrodynamic Equations -- General formulation -- Eirlerian frame -- Lagrangian frame -- Magnetic diffusion -- Field diffusion -- Vector potential diffusion -- Limiting cases -- Cylindrical one-dimensional geometry -- 8.2 Magnetic Flux Compression -- Current generators -- Flux compression circuit -- Flux compression by incompressible plane conductors -- Implosion of an ideal flux compressing shell -- Field diffusion -- Ideal flux compression. , Ultrahigh field generators.