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- ISBN: 9781260120974 | 126012097X
- Cover: Paperback
- Copyright: 10/22/2018

Preface

Contents

Chapter 1 The Subject of Electromagnetics

1.1 Historical Background

1.2 Objectives of the Chapter

1.3 Electric Charge

1.4 Units

1.5 Vectors

1.6 Electrical Force, Field, Flux, and Potential

1.7 Magnetic Force, Field, Flux, and Potential

1.8 Electromagnetic Induction

1.9 Mathematical Operators and Identities

1.10 Maxwell’s Equations

1.11 Electromagnetic Waves

1.12 Trajectory of a Sinusoidal Motion in Two Dimensions

1.13 Wave Polarization

1.14 Electromagnetic Spectrum

1.15 Transmission Lines

Chapter 2 Vector Analysis

2.1 Introduction

2.2 Vector Notation

2.3 Vector Functions

2.4 Vector Algebra

2.5 Coordinate Systems

2.6 Differential Volume, Surface, and Line Elements

Chapter 3 Electric Field

3.1 Introduction

3.2 Coulomb’s Law in Vector Form

3.3 Superposition

3.4 Electric Field Intensity

3.5 Charge Distributions

3.6 Standard Charge Configurations

Chapter 4 Electric Flux

4.1 Net Charge in a Region

4.2 Electric Flux and Flux Density

4.3 Gauss’s Law

4.4 Relation between Flux Density and Electric Field Intensity

4.5 Special Gaussian Surfaces

Chapter 5 Gradient, Divergence, Curl, and Laplacian

5.1 Introduction

5.2 Gradient

5.3 The Del Operator

5.4 The Del Operator and Gradient

5.5 Divergence

5.6 Expressions for Divergence in Coordinate Systems

5.7 The Del Operator and Divergence

5.8 Divergence of D

5.9 The Divergence Theorem

5.10 Curl

5.11 Laplacian

5.12 Summary of Vector Operations

Chapter 6 Electrostatics: Work, Energy, and Potential

6.1 Work Done in Moving a Point Charge

6.2 Conservative Property of the Electrostatic Field

6.3 Electric Potential between Two Points

6.4 Potential of a Point Charge

6.5 Potential of a Charge Distribution

6.6 Relationship between E and V

6.7 Energy in Static Electric Fields

Chapter 7 Electric Current

7.1 Introduction

7.2 Charges in Motion

7.3 Convection Current Density J

7.4 Conduction Current Density J

7.5 Conductivity s

7.6 Current I

7.7 Resistance R

7.8 Current Sheet Density K

7.9 Continuity of Current

7.10 Conductor-Dielectric Boundary Conditions

Chapter 8 Capacitance and Dielectric Materials

8.1 Polarization P and Relative Permittivity er

8.2 Capacitance

8.3 Multiple-Dielectric Capacitors

8.4 Energy Stored in a Capacitor

8.5 Fixed-Voltage D and E

8.6 Fixed-Charge D and E

8.7 Boundary Conditions at the Interface of Two Dielectrics

8.8 Method of Images

Chapter 9 Laplace’s Equation

9.1 Introduction

9.2 Poisson’s Equation and Laplace’s Equation

9.3 Explicit Forms of Laplace’s Equation

9.4 Uniqueness Theorem

9.5 Mean Value and Maximum Value Theorems

9.6 Cartesian Solution in One Variable

9.7 Cartesian Product Solution

9.8 Cylindrical Product Solution

9.9 Spherical Product Solution

Chapter 10 Magnetic Field and Boundary Conditions

10.1 Introduction

10.2 Biot-Savart Law

10.3 Ampère’s Law

10.4 Relationship of J and H

10.5 Magnetic Flux Density B

10.6 Boundary Relations for Magnetic Fields

10.7 Current Sheet at the Boundary

10.8 Summary of Boundary Conditions

10.9 Vector Magnetic Potential A

10.10 Stokes’ Theorem

Chapter 11 Forces and Torques in Magnetic Fields

11.1 Magnetic Force on Particles

11.2 Electric and Magnetic Fields Combined

11.3 Magnetic Force on a Current Element

11.4 Work and Power

11.5 Torque

11.6 Magnetic Moment of a Planar Coil

Chapter 12 Inductance and Magnetic Circuits

12.1 Inductance

12.2 Standard Conductor Configurations

12.3 Faraday’s Law and Self-Inductance

12.4 Internal Inductance

12.5 Mutual Inductance

12.6 Magnetic Circuits

12.7 The B-H Curve

12.8 Ampère’s Law for Magnetic Circuits

12.9 Cores with Air Gaps

12.10 Multiple Coils

12.11 Parallel Magnetic Circuits

Chapter 13 Time-Varying Fields and Maxwell’s Equations

13.1 Introduction

13.2 Maxwell’s Equations for Static Fields

13.3 Faraday’s Law and Lenz’s Law

13.4 Conductors’ Motion in Time-Independent Fields

13.5 Conductors’ Motion in Time-Dependent Fields

13.6 Displacement Current

13.7 Ratio of Jcto JD

13.8 Maxwell’s Equations for Time-Varying Fields

Chapter 14 Electromagnetic Waves

14.1 Introduction

14.2 Wave Equations

14.3 Solutions in Cartesian Coordinates

14.4 Plane Waves

14.5 Solutions for Partially Conducting Media

14.6 Solutions for Perfect Dielectrics

14.7 Solutions for Good Conductors; Skin Depth

14.8 Interface Conditions at Normal Incidence

14.9 Oblique Incidence and Snell’s Laws

14.10 Perpendicular Polarization

14.11 Parallel Polarization

14.12 Standing Waves

14.13 Power and the Poynting Vector

Chapter 15 Transmission Lines

15.1 Introduction

15.2 Distributed Parameters

15.3 Incremental Models

15.4 Transmission Line Equation

15.5 Impedance, Admittance, and Other Features of Interest

15.6 Sinusoidal Steady-State Excitation

15.7 Lossless Lines

15.8 The Smith Chart

15.9 Admittance Plane

15.10 Quarter-Wave Transformer

15.11 Impedance Matching

15.12 Single-Stub Matching

15.13 Double-Stub Matching

15.14 Impedance Measurement

15.15 Transients in Lossless Lines

Chapter 16 Waveguides

16.1 Introduction

16.2 Transverse and Axial Fields

16.3 TE and TM Modes; Wave Impedances

16.4 Determination of the Axial Fields

16.5 Mode Cutoff Frequencies

16.6 Dominant Mode

16.7 Power Transmitted in a Lossless Waveguide

16.8 Power Dissipation in a Lossy Waveguide

Chapter 17 Antennas

17.1 Introduction

17.2 Current Source and the E and H Fields

17.3 Electric (Hertzian) Dipole Antenna

17.4 Antenna Parameters

17.5 Small Circular-Loop Antenna

17.6 Finite-Length Dipole

17.7 Monopole Antenna

17.8 Self- and Mutual Impedances

17.9 The Receiving Antenna

17.10 Linear Arrays

17.11 Reflectors

Chapter 18 Propagation of Electromagnetic Waves in the Atmosphere

18.1 Introduction and Summary

18.2 Plane Waves in Homogeneous Media

18.3 Propagation Parameters

18.4 Complex Dielectric Constant

18.5 Power Equation

18.6 Refraction

18.7 Reflection, Diffraction, and Scattering

18.8 The Atmosphere

18.9 Atmospheric Effects on Propagation of Radio Waves

18.10 Attenuation by Gaseous Absorption

18.11 Attenuation by Hydrometeors

18.12 Ground and Sky Waves

18.13 Models of the Troposphere

18.14 Tropospheric Refractivity

18.15 Tropospheric Excess Delay

18.16 Bending Effect of Tropospheric Refraction

18.17 Conductivity, Permittivity, and Refraction Index of the Ionosphere

18.18 Satellite Microwave Ranging

18.19 Ionospheric Range Error

18.20 Tropospheric Range Error

Appendix

Index

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Contents

Chapter 1 The Subject of Electromagnetics

1.1 Historical Background

1.2 Objectives of the Chapter

1.3 Electric Charge

1.4 Units

1.5 Vectors

1.6 Electrical Force, Field, Flux, and Potential

1.7 Magnetic Force, Field, Flux, and Potential

1.8 Electromagnetic Induction

1.9 Mathematical Operators and Identities

1.10 Maxwell’s Equations

1.11 Electromagnetic Waves

1.12 Trajectory of a Sinusoidal Motion in Two Dimensions

1.13 Wave Polarization

1.14 Electromagnetic Spectrum

1.15 Transmission Lines

Chapter 2 Vector Analysis

2.1 Introduction

2.2 Vector Notation

2.3 Vector Functions

2.4 Vector Algebra

2.5 Coordinate Systems

2.6 Differential Volume, Surface, and Line Elements

Chapter 3 Electric Field

3.1 Introduction

3.2 Coulomb’s Law in Vector Form

3.3 Superposition

3.4 Electric Field Intensity

3.5 Charge Distributions

3.6 Standard Charge Configurations

Chapter 4 Electric Flux

4.1 Net Charge in a Region

4.2 Electric Flux and Flux Density

4.3 Gauss’s Law

4.4 Relation between Flux Density and Electric Field Intensity

4.5 Special Gaussian Surfaces

Chapter 5 Gradient, Divergence, Curl, and Laplacian

5.1 Introduction

5.2 Gradient

5.3 The Del Operator

5.4 The Del Operator and Gradient

5.5 Divergence

5.6 Expressions for Divergence in Coordinate Systems

5.7 The Del Operator and Divergence

5.8 Divergence of D

5.9 The Divergence Theorem

5.10 Curl

5.11 Laplacian

5.12 Summary of Vector Operations

Chapter 6 Electrostatics: Work, Energy, and Potential

6.1 Work Done in Moving a Point Charge

6.2 Conservative Property of the Electrostatic Field

6.3 Electric Potential between Two Points

6.4 Potential of a Point Charge

6.5 Potential of a Charge Distribution

6.6 Relationship between E and V

6.7 Energy in Static Electric Fields

Chapter 7 Electric Current

7.1 Introduction

7.2 Charges in Motion

7.3 Convection Current Density J

7.4 Conduction Current Density J

7.5 Conductivity s

7.6 Current I

7.7 Resistance R

7.8 Current Sheet Density K

7.9 Continuity of Current

7.10 Conductor-Dielectric Boundary Conditions

Chapter 8 Capacitance and Dielectric Materials

8.1 Polarization P and Relative Permittivity er

8.2 Capacitance

8.3 Multiple-Dielectric Capacitors

8.4 Energy Stored in a Capacitor

8.5 Fixed-Voltage D and E

8.6 Fixed-Charge D and E

8.7 Boundary Conditions at the Interface of Two Dielectrics

8.8 Method of Images

Chapter 9 Laplace’s Equation

9.1 Introduction

9.2 Poisson’s Equation and Laplace’s Equation

9.3 Explicit Forms of Laplace’s Equation

9.4 Uniqueness Theorem

9.5 Mean Value and Maximum Value Theorems

9.6 Cartesian Solution in One Variable

9.7 Cartesian Product Solution

9.8 Cylindrical Product Solution

9.9 Spherical Product Solution

Chapter 10 Magnetic Field and Boundary Conditions

10.1 Introduction

10.2 Biot-Savart Law

10.3 Ampère’s Law

10.4 Relationship of J and H

10.5 Magnetic Flux Density B

10.6 Boundary Relations for Magnetic Fields

10.7 Current Sheet at the Boundary

10.8 Summary of Boundary Conditions

10.9 Vector Magnetic Potential A

10.10 Stokes’ Theorem

Chapter 11 Forces and Torques in Magnetic Fields

11.1 Magnetic Force on Particles

11.2 Electric and Magnetic Fields Combined

11.3 Magnetic Force on a Current Element

11.4 Work and Power

11.5 Torque

11.6 Magnetic Moment of a Planar Coil

Chapter 12 Inductance and Magnetic Circuits

12.1 Inductance

12.2 Standard Conductor Configurations

12.3 Faraday’s Law and Self-Inductance

12.4 Internal Inductance

12.5 Mutual Inductance

12.6 Magnetic Circuits

12.7 The B-H Curve

12.8 Ampère’s Law for Magnetic Circuits

12.9 Cores with Air Gaps

12.10 Multiple Coils

12.11 Parallel Magnetic Circuits

Chapter 13 Time-Varying Fields and Maxwell’s Equations

13.1 Introduction

13.2 Maxwell’s Equations for Static Fields

13.3 Faraday’s Law and Lenz’s Law

13.4 Conductors’ Motion in Time-Independent Fields

13.5 Conductors’ Motion in Time-Dependent Fields

13.6 Displacement Current

13.7 Ratio of Jcto JD

13.8 Maxwell’s Equations for Time-Varying Fields

Chapter 14 Electromagnetic Waves

14.1 Introduction

14.2 Wave Equations

14.3 Solutions in Cartesian Coordinates

14.4 Plane Waves

14.5 Solutions for Partially Conducting Media

14.6 Solutions for Perfect Dielectrics

14.7 Solutions for Good Conductors; Skin Depth

14.8 Interface Conditions at Normal Incidence

14.9 Oblique Incidence and Snell’s Laws

14.10 Perpendicular Polarization

14.11 Parallel Polarization

14.12 Standing Waves

14.13 Power and the Poynting Vector

Chapter 15 Transmission Lines

15.1 Introduction

15.2 Distributed Parameters

15.3 Incremental Models

15.4 Transmission Line Equation

15.5 Impedance, Admittance, and Other Features of Interest

15.6 Sinusoidal Steady-State Excitation

15.7 Lossless Lines

15.8 The Smith Chart

15.9 Admittance Plane

15.10 Quarter-Wave Transformer

15.11 Impedance Matching

15.12 Single-Stub Matching

15.13 Double-Stub Matching

15.14 Impedance Measurement

15.15 Transients in Lossless Lines

Chapter 16 Waveguides

16.1 Introduction

16.2 Transverse and Axial Fields

16.3 TE and TM Modes; Wave Impedances

16.4 Determination of the Axial Fields

16.5 Mode Cutoff Frequencies

16.6 Dominant Mode

16.7 Power Transmitted in a Lossless Waveguide

16.8 Power Dissipation in a Lossy Waveguide

Chapter 17 Antennas

17.1 Introduction

17.2 Current Source and the E and H Fields

17.3 Electric (Hertzian) Dipole Antenna

17.4 Antenna Parameters

17.5 Small Circular-Loop Antenna

17.6 Finite-Length Dipole

17.7 Monopole Antenna

17.8 Self- and Mutual Impedances

17.9 The Receiving Antenna

17.10 Linear Arrays

17.11 Reflectors

Chapter 18 Propagation of Electromagnetic Waves in the Atmosphere

18.1 Introduction and Summary

18.2 Plane Waves in Homogeneous Media

18.3 Propagation Parameters

18.4 Complex Dielectric Constant

18.5 Power Equation

18.6 Refraction

18.7 Reflection, Diffraction, and Scattering

18.8 The Atmosphere

18.9 Atmospheric Effects on Propagation of Radio Waves

18.10 Attenuation by Gaseous Absorption

18.11 Attenuation by Hydrometeors

18.12 Ground and Sky Waves

18.13 Models of the Troposphere

18.14 Tropospheric Refractivity

18.15 Tropospheric Excess Delay

18.16 Bending Effect of Tropospheric Refraction

18.17 Conductivity, Permittivity, and Refraction Index of the Ionosphere

18.18 Satellite Microwave Ranging

18.19 Ionospheric Range Error

18.20 Tropospheric Range Error

Appendix

Index

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