Relativistic Dynamics of a Charged Sphere

In addition to expanding and clarifying a number of sections of the first edition, it generalizes the analysis that eliminates the noncausal pre-acceleration so that it applies to removing any pre-deceleration as well. It also introduces a robust power series solution to the equation of motion that produces an extremely accurate solution to problems such as the motion of electrons in uniform magnetic fields.

"This is a remarkable book. [] A fresh and novel approach to old problems and to their solution." Fritz Rohrlich, Emeritus Professor of Physics, Syracuse University

This reexamination of the classical model of the electron, introduced by H. A. Lorentz more than 100 years ago, serves as both a review of the subject and as a context for presenting new material. The new material includes the determination and elimination of the noncausal behavior in the original equation of motion, and the derivation of the binding forces and total stress-momentum-energy tensor for a charged insulator moving with arbitrary velocity. The final equations of motion are given in a number of different formats to allow them to be readily used by physicists, engineers, and mathematicians.

Auteur

Arthur D. Yaghjian works primarily as a research engineer in the area of electromagnetic theory. His work has led to the determination of electric and magnetic fields in natural materials and metamaterials, as well as to the development of exact, numerical, and high-frequency methods for predicting and measuring the near and far fields of antennas and scatterers in both the time and frequency domains. His contributions to the determination of the classical equations of motion of accelerated charged particles have found recognition in a number of texts such as the latest edition of Jackson's "Classical Electrodynamics." He has published two books, several chapters in other books, and about 120 archival journal articles, four of which received IEEE best paper awards. He is an IEEE Life Fellow, has received an Honorary Doctorate from the Technical University of Denmark, the IEEE Electromagnetics Award, the IEEE-APS Distinguished Achievement Award, and has served as an IEEE-APS Distinguished Lecturer.

Contenu
Foreword.- Preface To The First Edition.- Preface To The Second Edition.- Introduction and Summary of Results.- Lorentz-Abraham Force And Power Equations.- Derivation of Force And Power Equations.- Internal Binding Forces.- Electromagnetic, Electrostatic, Bare, Measured, and Insulator Masses.- Transformation and Redefinition of Forcepower and Momentum-Energy.- Momentum and Energy Relations.- Solutions to The Equation of Motion.- Derivation and Transformation of Smallvelocity Force and Power.- Derivation of Force and Power at Arbitrary Velocity.- Electric and Magnetic Fields in a Spherical Shell of Charge.- Derivation of The Linear Terms for the Self Electromagnetic Force.- References.