The Classical Electromagnetic Field (Dover Books on Physics)

Title Page; Dedication; Copyright Page; PREFACE; Table of Contents; PREFATORY NOTES; 1 - CONCEPTS OF A FIELD THEORY; REFERENCES; 2 - THE ELECTROSTATIC FIELD; 2.1 THE DISTRIBUTION OF CHARGE; 2.2 COULOMB'S LAW AND SUPERPOSITION; 2.3 THE ELECTRIC FIELD; 2.4 THE POTENTIAL; PROBLEMS; REFERENCES; 3 - THE SUMMATION PROBLEM FOR CHARGES; 3.1 POINT CHARGE ON z-AXIS; 3.2 AXIAL MULTIPOLE EXPANSION; 3.3 GENERAL MULTIPOLE EXPANSION; 3.4 TWO-DIMENSIONAL DISTRIBUTIONS; 3.5 ONE-DIMENSIONAL DISTRIBUTIONS; 3.6 SURFACE CHARGES AND DOUBLE LAYERS; 3.7 DIPOLE DISTRIBUTIONS-EXTERIOR FIELDS. 3.8 DIPOLE DISTRIBUTIONS-INTERIOR FIELDSPROBLEMS; REFERENCES; 4 - BOUNDARY VALUE PROBLEMS WITH CONDUCTORS; 4.1 THE PHYSICS OF CONDUCTORS IN FIELDS; 4.2 HOMOGENEOUS AND INHOMOGENEOUS PROBLEMS; 4.3 A UNIQUENESS THEOREM; 4.4 METHOD OF IMAGES; 4.5 LAPLACE'S EQUATION AND SUPERPOSITION OF ELEMENTARY SOLUTIONS; 4.6 COMPOSITE PROBLEMS; 4.7 INTEGRAL EQUATIONS; PROBLEMS; REFERENCES; 5 - GENERAL BOUNDARY VALUE PROBLEMS; 5.1 DIRICHLET AND NEUMANN PROBLEMS; 5.2 SUPERPOSITION OF ELEMENTARY SOLUTIONS; 5.3 GREEN'S THEOREM AND AN INTEGRAL IDENTITY FOR THE POTENTIAL. 5.4 A GENERALIZED INTEGRAL IDENTITY AND GREEN FUNCTIONS5.5 APPLICATION OF GREEN FUNCTIONS; 5.6 GENERAL PROPERTIES OF GREEN FUNCTIONS; PROBLEMS; REFERENCES; 6 - DIELECTRICS; 6.1 INTRODUCTION; 6.2 POLARIZATION CHARGE AND THE AVERAGE INTERNAL FIELD; 6.3 THE RELATION OF POLARIZATION TO THE APPLIED FIELD; 6.4 CAPACITORS AND THE DIELECTRIC CONSTANT; 6.5 BOUNDARY VALUE PROBLEMS WITH DIELECTRICS; 6.6 MACROSCOPIC AND MICROSCOPIC PROPERTIES; PROBLEMS; REFERENCES; 7 - THE MAGNETOSTATIC FIELD; 7.1 CURRENT AND RELATED CONCEPTS; 7.2 FORCES BETWEEN CONDUCTORS AND THE MAGNETOSTATIC FIELD B. 7.3 DIFFERENTIAL AND INTEGRAL PROPERTIES OF B7.4 THE MAGNETIC SCALAR POTENTIAL; 7.5 THE VECTOR POTENTIAL; PROBLEMS; REFERENCE; 8 - THE SUMMATION PROBLEM FOR STATIONARY CURRENTS; 8.1 INTRODUCTION; 8.2 INTEGRAL MAGNETIC SCALAR POTENTIAL; 8.3 DIFFERENTIAL MAGNETIC SCALAR POTENTIAL; 8.4 THE VECTOR POTENTIAL AND A MULTIPOLE EXPANSION; 8.5 EXTERNAL FIELD OF DIPOLAR MAGNETIC MATTER; PROBLEMS; REFERENCES; 9 - MAGNETIC MATERIALS AND BOUNDARY VALUE PROBLEMS; 9.1 INTRODUCTION; 9.2 AN AVERAGE INTERNAL FIELD; 9.3 A POSTULATE RELATING MEAN MAGNETIZATION AND THE APPLIED FIELD. 9.4 THEORY OF PERMEABLE MATTER IN AN APPLIED FIELD9.5 THE VECTOR H; 9.6 A BOUNDARY VALUE PROBLEM; PROBLEMS; REFERENCES; 10 - FORCE AND ENERGY IN STATIC FIELDS; 10.1 ENERGY OF ASSEMBLAGE OF CHARGE DISTRIBUTION; 10.2 ENERGY OF FORMATION OF CURRENT DISTRIBUTION; 10.3 RIGID CHARGE DISTRIBUTION IN APPLIED ELECTRIC FIELD; 10.4 RIGID CURRENT DISTRIBUTION IN APPLIED MAGNETIC FIELD; 10.5 FORCE ON CONDUCTORS; 10.6 DIELECTRIC MATTER IN APPLIED ELECTRIC FIELD; 10.7 PERMEABLE MATTER IN APPLIED MAGNETIC FIELD; PROBLEMS; REFERENCES; 11 - TIME-VARYING FIELDS; 11.1 INTRODUCTION. 11.2 FARADAY'S LAW OF INDUCTION. This excellent text covers a year's course in advanced theoretical electromagnetism, first introducing theory, then its application. Topics include vectors D and H inside matter, conservation laws for energy, momentum, invariance, form invariance, covariance in special relativity, and more. Read more... The Classical Electromagnetic Field emphasizes physics first, then mathematics. This and the fact that lucid exposition of theory receives priority over subsequent manipulation marks the book unusual, not to say unique, among field physics texts for advanced undergraduates and graduate students. Long experience of and dissatisfaction with existing texts used in teaching electromagnetic theory at MIT prompted the author to clarify his own approach, resulting in this book. Dr. Eyges is now a Senior Research Physicist at the Rome Air Development Center, Hanscom Air Force Base. Electromagnetic theory is basic to classical and relativistic physics at every level. This text covers material for a year's course in advanced theoretical electromagnetism, at all times keeping mathematics ancillary to the physics. Prior knowledge of differential equations and vector analysis will prepare the reader for inquiry into: • meaning and definition of vectors D and H inside matter • interpretations of the conservation laws for energy, momentum and angular momentum • localization and flow of electromagnetic energy • concepts of invariance, form invariance and covariance in special relativity Summation problems form a kind of pattern in treating all the topics, which include general boundary value, dielectrics, time-varying fields, time-harmonic currents and propagation in imperfect conductors. Problems (no solutions) and references (annotated) are found at the end of each chapter; a general bibliography is also appended. Students have discovered this book in its earlier hardcover edition to be a stimulating exploration of theory, self-contained and suitable for unsupervised study; physicists and professors will find more than one fresh insight into their field.