内容

目次

Chapter 1: Foundation of Electromagnetic Theory1.1 Introduction1.2 Vector Analysis1.2.1 Vector Algebra1.2.2 Vector Gradient1.2.3 Vector Integration1.2.4 Vector Divergence1.2.5 Vector Curl1.2.6 Vector Differential Operator1.3 Further Developments1.4 Electrostatics1.4.1 The Coulomb's Law1.4.2 The Electric Field1.4.3 The Gauss's Law1.5 Solution of Electrostatic Problems1.5.1 Poisson's Equation1.5.2 Laplace's Equation1.6 Electrostatic Energy1.6.1 Potential Energy of a Group of Point Charges1.6.2 Electrostatic Energy of a Charge Distribution1.6.3 Forces and Torques1.7 Maxwell's Equations Descriptions1.8 Time-Independent Maxwell Equations1.8.1 Coulomb’s Law1.8.2 The Electric Scalar Potential1.8.3 Gauss’s Law1.8.4 Poisson’s Equation1.8.5 Ampere’s Experiments1.8.6 The Lorentz Force1.8.7 Ampere’s Law1.8.8 Magnetic Monopoles1.8.9 Ampere’s Circuital Law1.8.10 Helmholtz’s Theorem1.8.11 The Magnetic Vector Potential1.8.12 The Biot-Savart Law1.8.13 Electrostatics and Magnetostatics1.9 Time-Dependent Maxwell Equations1.9.1 Faraday’s Law1.9.2 Electric Scalar Potential1.9.3 Gauge Transformations1.9.4 The Displacement Current1.9.5 Potential Formulation1.9.6 Electromagnetic Waves1.9.7 Green’s Functions1.9.8 Retarded Potentials1.9.9 Advanced Potentials1.9.10 Retarded Fields1.9.11 Summary1.10 ReferencesChapter 2: Maxwell’s Equations - The Generalization of Ampere-Maxwell’s Law2.1 Introduction2.2 The Permeability of Free Space µ02.3 The Generalization of Ampere’s Law with Displacement Current2.4 The Electromagnetic Induction2.5 The Electromagnetic Energy and Poynting Vector2.6 Simple Classical Mechanics Systems and Fields2.7 Lagrangian and Hamiltonian of Relativistic Mechanics2.7.1 Four-Dimensional Velocity2.7.2 Energy and Momentum in Relativistic Mechanics2.8 Lorentz vs. Galilean Transformation2.9 The Structure of Spacetime, Interval, and Diagram2.9.1 Space-Time or Minkowski Diagram2.9.2 Time Dilation2.9.3 Time Interval2.9.4 The Invariant Interval2.9.5 Lorentz Contraction Length2.10 ReferencesChapter 3: All About Wave Equations3.1 Introduction3.2 The Classical Wave Equation and Separation of Variables3.3 Standing Waves3.4 Seiche wave3.4.1 Lake Seiche3.4.2 See and Bay Seiche3.5 Underwater or Internal Waves3.6 Maxwell’s Equations and Electromagnetic Waves3.7 Scalar and Vector Potentials3.8 Gauge Transformations, Lorentz Gauge, and Coulomb Gauge3.9 Infrastructure, Characteristic, Derivation, and Properties of Scalar Waves3.9.1 Derivation of the Scalar Waves3.9.2 Wave Energy3.9.3 The Particles or Charge Field Expression3.9.4 Particle Energy3.9.5 Velocity3.9.6 The Magnetic Field3.9.7 The Scalar Field3.9.8 Scalar Fields, from Classical Electromagnetism to Quantum Mechanics3.9.8.1 Scalar Interactions3.9.8.2 Quantum Gauge Invariance3.9.8.3 Gauge Invariant Phase Difference3.9.8.4 The Matrix of Space-Time3.9.9 Our Body Works with Scalar Waves3.9.10 Scalar Waves Superweapon Conspiracy Theory3.9.11 Deployment of Superweapon Scalar Wave Drive by Interferometer Paradigm3.9.11.1 Wireless Transmission of Energy at a Distance Driven by Interferometry3.10 The Quantum Waves3.11 The X-Waves3.12 The Nonlinear X-Waves3.13 The Bessel’s Waves3.14 Generalized Solution to Wave Equation3.14 ReferencesChapter 4: The Fundamental of Electrodynamics4.1 Introduction4.2 Maxwell’s Equations and Electric Field of the Electromagnetic Wave4.3 The Wave Equations for Electric and Magnetic Field4.4 Sinusoidal Waves4.5 Polarization of the Wave4.6 Monochromatic Plane Waves4.7 Boundary Conditions: Reflection & Transmission (Refraction) Dielectric Interface4.8 Electromagnetic Waves in Matter4.8.1 Propagation in Linear Media4.8.2 Reflection and Transmission at Normal Incidence4.8.3 Reflection and Transmission at Oblique Incidence4.9 Absorption and Dispersion4.9.1 Electromagnetic Waves in Conductors4.9.2 Reflection at a Conducting Surface4.9.3 The Frequency Dependence of Permittivity4.10 Electromagnetic Waves in Conductors4.11 ReferencesChapter 5: Deriving Lagrangian Density of Electromagnetic Field5.1 Introduction5.2 How the Field Transform5.3 The Field Tensor5.4 The Electromagnetic Field Tensor5.5 The Lagrangian and Hamiltonian For Electromagnetic Fields5.6 Introduction to Lagrangian Density5.7 The Euler-Lagrange Equation of Electromagnetic Field5.7.1 Error-Trial-Final Success5.8 The Formal Structure of Maxwell’s Theory5.9 ReferencesChapter 6: Scalar Waves6.1 Introduction6.2 Transverse and Longitudinal Waves Descriptions6.2.1 Pressure Waves and More Details6.2.2 What are Scalar Longitudinal Waves6.2.2 Scalar Longitudinal Waves Applications6.3 Description of   Field6.4 Scalar Wave Description6.5 Longitudinal Potential Waves6.6 Transmitters and Receiver for Longitudinal Waves6.6.1 Scalar Communication System6.7 Scalar Waves Experiments6.7.1 Tesla Radiation6.7.2 Vortex Model6.7.2.1 Resonant Circuit Interpretation6.7.2.2 Near Field Interpretation6.7.2.3 Vortex Interpretation6.7.4 Experiment6.7.5 Summary6.7 ReferencesAppendix A: Relativity and ElectromagnetismA.1 IntroductionA.2 The Formal Structure of Maxwell’s TheoryA.3 ReferencesAppendix B: Schrödinger Wave EquationB.1 IntroductionB.2 Schrödinger Equation ConceptB.3 The Time-Dependent Schrödinger Equation ConceptB.4 Time-Independent Schrödinger Equation ConceptB.5 A Free Particle inside a Box and Density of StateB.6 Relativistic Spin Zero Parties: Klein-Gordon EquationB.6.1 AntiparticlesB.6.2 Negative Energy States and AntiparticlesB.6.3 Neutral ParticlesB.6 ReferencesAppendix C: Four Vectors and Lorentz TransformationC.1 IntroductionC.2 Lorentz Transformation Factor DerivationC.3 Mathematical Properties of the Lorentz TransformationC.4 Cherenkov RadiationC.4.1 Arbitrary Cherenkov Emission AngleC.4.2 Reverse Cherenkov EffectC.4.3 Cherenkov Radiation CharacteristicsC.4.4 Cherenkov Radiation ApplicationsC.5 Vacuum Cherenkov RadiationC.6 Lorentz Invariance and Four-VectorsC.7 Transformation Laws for VelocitiesC.8 Faster Than Speed of LightC.7 ReferencesAppendix D: Vector DerivativesD.1 ReferencesAppendix E: Second Order Vector DerivativesE.1 ReferencesIndex