An accurate quantitative picture of electric field distribution is essential in many electrical and electronic applications. In composite dielectric configurations composed of multiple dielectrics, anomalous or unexpected behavior of electric fields may appear when a solid dielectric is in contact with a conductor or another solid dielectric. The electric field near the contact point may become higher than the original field not only in the surrounding medium but also in the solid dielectric. Theoretically it may become infinitely high, depending on the contact angle. Although these characteristics are very important in a variety of applications, they have been clarified only recently using analytical and numerical calculation methods, and this is the first book to cover these new findings.
Electric Fields in Composite Dielectrics and Their Applications describes the fundamental characteristics and practical applications of electric fields in composite dielectrics. The focus is on the field distribution (and the resultant force when appropriate) near points of contact. Applications include insulation design of high-voltage equipment with solid insulating supports, utilization of electrostatic force on dielectric particles in electrophotography and electrorheological fluids, and others. Electric Fields in Composite Dielectrics and Their Applications also explains the calculation methods used to analyze electric fields in composite dielectrics.
Preface. Acknowledgements. 1 Basic Properties of Electric Fields in Composite Dielectrics. 1.1 Background. 1.2 Fundamentals of Composite Dielectric Fields. 1.3 Effect of Conduction. 1.4 Outline of Field Behavior near a Contact Point. 1.5 Outline of the Chapters. References. 2 Electric Field Behavior for a Finite Contact Angle. Introduction. 2.1 Analytical Treatment. 2.2 Numerical Treatment. 2.3 Effect of Volume and Surface Conduction. References. 3 Electric Field for a Zero Contact Angle (Smooth Contact). Introduction. 3.1 Stressed Conductor in Contact with a Solid Dielectric. 3.2 Uncharged Spherical Conductor Under a Uniform Field. 3.3 Stressed Conductor on a Solid Dielectric of Finite Thickness. 3.4 Other Basic Configurations. 3.5 Effect of Volume and Surface Conduction. References. 4 Electric Field Behavior for the Common Contact of Three Dielectrics Introduction. 4.1 Contact of Straight Dielectric Interfaces. 4.2 Perpendicular Contact of a Solid Dielectric with another Solid. 4.3 Numerical Analysis of Field Behavior. References. 5 Electric Field in High-Voltage Equipment. Introduction. 5.1 Finite Contact Angle: Prevention of Field Singularity near a Contact Point. 5.2 Zero Contact Angle in Gas-Insulated Equipment. 5.3 Common Contact of Three Dielectrics. 5.4 Application to High-Field-Emission Devices. References. 6 Electric Field and Force in Electrorheological Fluid: a System of Multiple Particles. Introduction. 6.1 Equivalent Dipole Expression. 6.2 Particles Lined Up Parallel to an Applied Field. 6.3 Particle Chain Tilted to the Field Direction. 6.4 Two-Particle Chain Between Parallel Plane Electrodes with the Minimum Separation. 6.5 Nonhomogeneous Particles. References. 7 Electric Field and Force on Toners in Electrophotography. Introduction. 7.1 Fundamental Characteristics. 7.2 Charged Dielectric Particle on a Conductor. 7.3 Charged Dielectric Particle on a Dielectric Barrier. References. 8 Analytical Calculation Methods.Introduction. 8.1 Variable-Separation Method for Straight Dielectric Interfaces. 8.2 Iterative Image Charge Method. 8.3 Uncharged Conducting Sphere Under a Uniform Field on a Dielectric Plane. 8.4 Re-expansion Method for a System of Particles. References. 9 Numerical Calculation Methods. Introduction. 9.1 General Remarks. 9.2 Charge Simulation Method (CSM). 9.3 Surface Charge Method (SCM). 9.4 Boundary Element Method (BEM). References. Index.