图书简介

Frequently Used Reference Material; 0.1. Table of Fundamental Constants; 0.2. Units; 0.3. The Greek Alphabet; 0.4. SI Prefixes; 0.5. Dielectric Constants of Materials; 0.6. Relative Permeabilities of Materials; I. Introductory Material; 1. Scalars and Vectors; 1.1. Introduction; 1.2. Scalars; 1.2.1. Rules to Manipulate Scalars; 1.2.2. Keeping Track of Calculations; 1.2.3. Order of Magnitude of Calculations; 1.2.4. Approximations; 1.3. Vectors; 1.3.1. The Unit Vector; 1.3.2. Vector Addition; 1.3.2.1. A Handy Technique; 1.3.2.2. Calculations with Vector Addition; 1.3.3. Dot Product or Scalar Product; 1.3.3.1. Work and Scalar Product; 1.3.3.2. Scalar Products of Orthogonal Unit Vectors; 1.3.4. Cross Product or Vector Product; 1.3.4.1. Cross Products of Orthogonal Unit Vectors; 1.3.4.2. Cross Product in Rectangular Coordinates; 1.3.4.3. Memorizing Cross-Product Calculations; 1.3.4.4. Scalar Triple Product; 1.4. Units and Dimensions; 1.5. Points to Remember; 1.6. Practice Problems and Self Assessment; 2. Coordinate Systems and Fields; 2.1. Introduction; 2.2. Scalar and Vector Fields; 2.2.1. Scalar Fields; 2.2.2. Vector Fields; 2.3. The Rectangular Coordinate System; 2.3.1. Distance Between Two Points; 2.3.2. Direction Cosines; 2.3.3. Vector Equation of a Straight Line; 2.3.4. Equation of a Plane; 2.4. Cylindrical Coordinate System; 2.4.1. Equations of Surfaces and Lines in Cylindrical Coordinates; 2.5. The Spherical Coordinate System; 2.6. Points to Remember; 2.7. Practice Problems and Self Assessment; 3. Vector Calculus 143; 3.1. Chapter Goals; 3.2. Basic 3-Dimensional Calculus; 3.2.1. Differential Element of a Line; 3.2.2. Line Integral; 3.2.3. Differential Element of a Surface; 3.2.4. Surface Integral; 3.2.5. The Volume Integral; 3.3. Differential Calculus Concepts; 3.3.1. The Del or Nabla Operator; 3.3.2. Gradient; 3.3.3. The Curl; 3.3.4. Divergence; 3.4. Maxwell’s Equations; 3.5. Units and Dimensions of EM Fields; 3.6. List of Formulae; 3.7. Practice Problems and Self Assessment; II. Electrostatics; 4. The Electric Field and Gauss’s Law; 4.1. Chapter Goals; 4.2. Electrostatics: An Introduction; 4.3. Charge; 4.3.1. The Dirac Delta Function; 4.4. Coulomb’s Law and the Electric Field; 4.5. The Electric Field due to a System of Point Charges; 4.5.1. Electric Dipole; 4.5.2. Electric Field Due to Any Number of Point Charges; 4.6. Electric Field due to Continuous Charge Distributions; 4.6.1. Infinite Line Charge; 4.6.2. Infinite Sheet Charge; 4.7. Electric Displacement ? and Flux Density D; 4.8. Gauss’s Law; 4.9. Gauss’s LawApplied to Cases of Spherical Symmetry; 4.9.1. Gauss’s Law Applied to a Point Charge; 4.9.2. Gauss’s Law Applied to a Charged Sphere; 4.10. Gauss’s Law Applied to Cases of Cylindrical Symmetry; 4.11. Gauss’s LawApplied to Cases of Rectangular Symmetry; 4.12. List of Formulae; 4.13. Practice problems and Self Assessment; 5. Energy and Potential; 5.1. Chapter Goals; 5.2. Potential Due to a Point Charge; 5.3. Equipotential Surfaces; 5.4. Potential Energy; 5.5. Potential Due to a System of Point Charges; 5.5.1. Far Fields for an Electric Dipole; 5.6. Potential Due Any Continuous Charge Distribution; 5.7. List of Formulae; 5.8. Practice Problems and Self Assessment; 6. The Electric Field and Material Media; 6.1. Chapter Goals; 6.2. Current and Current Density; 6.3. Continuity Equation; 6.4. Conductors, Semiconductors and Dielectrics; 6.4.1. Conductors and Resistance; 6.4.2. Relaxation Time for Conductors; 6.4.3. The Method of Images; 6.4.4. Semiconductors; 6.4.5. Dielectrics; 6.5. Capacitance; 6.5.1. Parallel Plate Capacitor; 6.5.2. Coaxial Line; 6.5.3. Two Conductor Line; 6.6. Relation Between Capacitance and Resistance; 6.7. Boundary Conditions for Electrostatic Fields; 6.8. Energy Stored in the Electric Field; 6.9. List of Formulae; 6.10. Practice Problems and Self Assessment; 7. Laplace’s and Poisson’s Equations; 7.1. Chapter Goals; 7.2. Introduction; 7.3. Uniqueness Theorem; 7.4. Laplace’s Equation; 7.4.1. Some One Dimensional Solutions; 7.4.1.1. Laplace’s Equation, Applied to Infinite Parallel Planes; 7.4.1.2. Laplace’sEquation,AppliedtoConcentric Cylinders; 7.4.1.3. Laplace’sEquation,AppliedtoConcentric Spheres; 7.4.1.4. Laplace’sEquationAppliedtoTwo Coaxial Cones; 7.4.2. TwoDimensional Solutions toLaplace’sEquation; 7.4.2.1. Analytic Functions; 7.4.3. Separation of Variables; 7.4.4. Numerical Techniques; 7.5. Poisson’s Equation; 7.5.1. One Dimensional Solutions; 7.6. List of Formulae; 7.7. Practice Problems and Self Assessment; III. Magnetostatics; 8. The Steady Magnetic Field; 8.1. Chapter Goals; 8.2. Introduction; 8.3. The Biot-Savart Law; 8.3.1. Biot-Savart Law Applied to a Tiny Filamentary Current; 8.4. Types of Current; 8.4.1. Biot-SavartLawAppliedto an InfinitelyLong Straight Wire; 8.4.2. Magnetic Field Lines of a Long Straight Wire; 8.4.3. Biot-Savart Law Applied to a Short Straight Wire; 8.5. Ampere’s Law; 8.5.1. Ampere’s Law Applied to a Long Straight Wire; 8.5.2. Ampere’s Law Applied to a Wire of Radius a; 8.5.3. Ampere’s Law Applied to an Infinite Solenoid; 8.5.4. Ampere’s Law Applied to a Winding Around a Torus; 8.6. The Magnetic Field-Some Calculations; 8.6.1. Loop of Wire Carrying a Current; 8.6.2. Magnetic Field Due to a Current Sheet; 8.6.3. Magnetic Field in the Interior of an Infinite Solenoid; 8.6.4. Magnetic Field in the Interior of a Finite Solenoid; 8.6.5. Magnetic Field on the Axis of a Rotating Charged Disk; 8.7. The Magnetic Scalar Potential; 8.7.1. Scalar Potential in the Interior of an Infinite Solenoid; 8.8. The Vector Potential and the Magnetic Flux Density; 8.8.1. Calculation of the Vector Potential; 8.8.2. Vector Potential of a Circular Loop; 8.9. The Biot-Savart Law-Revisited; 8.10. Various Results; 8.10.1. VectorPoential for aCurrentCarrying Straight Conductor; 8.10.2. Two Current Carrying Straight Conductors; 8.11. Far Field Approximation; 8.11.1. Square Current Loop and Magnetic Dipole; 8.12. List of Formulae; 8.13. Practice Problems and Self Assessment; 9. Magnetic Forces, Inductance and Magnetisation; 9.1. Chapter Goals; 9.2. The Lorentz Force; 9.3. Electron Moving in a Steady Magnetic Field; 9.4. A Straight Wire Carrying a Current in a Magnetic Field; 9.5. Other Formulations; 9.6. Loop Carrying a Current in a Constant Magnetic Field; 9.7. Torque on Loop Carrying a Current in a Constant Magnetic Field; 9.7.1. The Magnetic Dipole and Torque on an Arbitrary Loop; 9.8. Force between Two Current Elements; 9.9. Inductance; 9.9.1. Inductance of a Coil; 9.9.2. Inductance of a Coaxial Line; 9.9.3. Magnetic Energy; 9.9.4. Inductance of a Circular Loop; 9.9.5. Mutual inductance; 9.10. Magnetic Materials and Magnetic Circuits; 9.10.1. Magnetisation; 9.10.2. Magnetic Circuits; IV. Time Varying Fields, Radiation and Propagation; 10.Time Dependant Fields; 10.1. Chapter Goals; 10.2. List of Formulae; 10.3. Faraday’s Law; 10.4. A Maxwell Equation from Faraday’s Law; 10.5. The Displacement Current Density; 10.6. Time-DependentMaxwell’s Equations; 10.6.1. Point form of the Equations; 10.7. Integral Form of Maxwell’s Equations; 10.8. The FundamentalEquations ofRadiation and Propagation; 10.9. Time Domain Wave Equation; 10.10.Frequency Domain Wave Equation; 10.10.1.Phasors; 10.11.The Wave Equation; 10.12.Chapter Summary; 10.13.Short Answer Questions; 10.14.Problems; 11.Electromagnetic Waves; 11.1. Uniform Plane Wave; 11.2. Wave Polarisation; 11.2.1. Circular Polarisation; 11.2.2. Elliptical Polarisation; 11.3. Wave Propagation in Conducting Media; 11.3.1. Low Conductivity Materials; 11.3.2. High Conductivity Materials; 11.4. Boundary Conditions; 11.5. Reflection and Refraction of Waves; 11.5.1. Reflection from a Metal Surface; 11.5.1.1. Normal Incidence; 11.5.2. Refraction from a Dielectric Surface; 11.6. Poynting Vector and the Flow of Power; 11.6.1. Poynting’s Theorem; 11.6.2. Poynting Vector; 12.Transmission Lines; 12.1. Time Domain Equation; 12.2. Frequency Domain Equation; 12.3. Solutions to the Transmission Line Equation; 12.3.1. Power Considerations; 12.3.2. Reflections from Discontinuities; 12.3.3. StandingWave Ratio; 12.3.4. Input Impedance Anywhere Along the Line; 12.4. Transmission Line Charts; 12.5. Transformer Matching; 12.6. References; 13.Waveguides; 13.1. The Parallel Plate Waveguide; 13.2. TEM mode Waveguides; 13.3. The RectangularWaveguide; 13.4. The CircularWaveguide; 14.Radiation from Currents; 14.1. Wave Equation due to Charges and Currents; 14.2. Radiation from a Current Element; 14.3. The Half-Wave Dipole Antenna; 14.4. Basic Antenna Concepts; 14.5. Directivity; 14.5.1. Directivity from the Beam Pattern; 14.6. Effective Aperture and Friis’ Transmission Formula; 15. Introduction to Antennas; 15.1. Chapter Goals; 15.2. Introduction; 15.3. Linear Antenna Arrays; 15.4. Linear Array with Equal Currents; 15.4.1. The Array Factor; 15.4.2. Nulls and Sidelobes; 15.4.3. Beam Pointing Angle; 15.5. Farfield Pattern; 15.6. Aperture Antennas; 15.7. Horn Antennas; 15.7.1. Introduction; 15.8. Parabolic Reflector; 15.9. List of Formulae; 15.10.Practice Problems and Self Assessment; 16.Radio Wave Propagation; 16.1. Introduction; 16.2. Ground Wave Propagation; 16.3. Earth Reflection; 16.4. The Surface Wave; 16.4.1. The Surface Wave for the Vertical Dipole; 16.4.2. Wave Tilt of the Surface Wave; 16.5. Surface Wave for a Horizontal Dipole; 16.6. Approximations for Ground Wave Propagation; 16.7. Tropospheric Propagation; 16.7.1. Spherical Earth Considerations; 16.7.2. Tropospheric Waves; 16.8. Ionospheric Propagation; 16.8.1. The Ionosphere; 16.8.1.1. Plasma Oscillations; 16.8.1.2. Wave Propagation in a Plasma; A. List of Symbols; A.1. Commonly Use Symbols and Nomenclature; B. Coordinate Systems; B.1. Rectangular to Cylindrical, Cylindrical to Rectangular; B.2. Rectangular to Spherical, Spherical to Rectangular; B.3. Spherical and Cylindrical Coordinates; B.4. Grad, Div, Curl and Laplacian in Different Coordinate Systems; B.4.1. Cartesian Coordinate; B.4.2. Cylindrical Coordinates; B.4.3. Spherical Coordinates; C. Mathematical Reference; C.1. General; C.1.1. Important Constants; C.1.2. Taylor’s Series Expansion; C.1.3. C.2. Vector Identitiesdinate Systems; C.2.1. General; C.2.2. Gradient; C.2.3. Curl; C.2.4. Divergence; C.2.5. Double; C.3. Complex Variables; C.3.1. General; C.3.2. Inequalities; C.3.3. Complex conjugates; C.3.4. Euler’s Identity; C.4. Trigonometry; C.4.1. Basic formulae; C.4.2. Sum and difference formulae; C.4.3. Double angle formulae; C.4.4. Half angle formulae; C.4.5. Product to sum formulae; C.4.6. Sum and difference to product; C.4.7. Triangle Formulae; C.4.8. Powers of the trigonometric functions; C.5. Differentiation; C.5.1. Rules; C.5.2. Differentiation of Functions; C.6. Integration; C.6.1. Common Substitutions; C.6.2. Indefinite Integrals; Bibliography

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