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Chapter 1Vector Analysis(ʸÁ¿·ÖÎö)

1.1Introduction(ÒýÑÔ)

1.2Vector Representation(ʸÁ¿µÄ±íʾ·½Ê½)

1.3Addition and Subtraction(ʸÁ¿µÄ¼Ó¼õ·¨)

1.4Products of Vectors(ʸÁ¿³Ë»ý)

1.4.1Multiplication by scalars(Êý³Ë)

1.4.2Dot Product/Scalar Product(µã»ý/±êÁ¿»ý)

1.4.3Cross Product/Vector Product(²æ»ý/ʸÁ¿»ý)

1.4.4Scalar and vector triple products(±êÁ¿/ʸÁ¿ÈýÖØ»ý)

1.5Orthogonal Coordinate Systems(Õý½»×ø±êϵ)

1.5.1Cartesian Coordinates(µÑ¿¨¶ù×ø±ê)

1.5.2Cylindrical Coordinates(Ô²Öù×ø±ê)

1.5.3Spherical Coordinates(Ô²Çò×ø±ê)

1.6Integrals of Vector Fields(ʸÁ¿³¡µÄ»ý·Ö)

1.7Gradient of a Scalar Field(±êÁ¿³¡µÄÌݶÈ)

1.8Divergence of a Vector Field(ʸÁ¿³¡µÄÉ¢¶È)

1.9Divergence Theorem(É¢¶È¶¨Àí)

1.10Curl of a Vector Field(ʸÁ¿³¡µÄÐý¶È)

1.11Stokes¡¯s Theorem(˹ÍпË˹¶¨Àí)

1.12Laplacian Operator(À­ÆÕÀ­Ë¹Ëã×Ó)

1.13Curlª²free and Divergenceª²free Fields(ÎÞÐý³¡ÓëÎÞÉ¢³¡)

1.14Helmholtz¡¯s Theorem(º¥Ä·»ô×ȶ¨Àí)

Summary

Review Questions

Problems

Chapter 2Static Electric Fields(¾²µç³¡)

2.1Introduction(ÒýÑÔ)

2.2Electric Fields and Charges(µç³¡ÓëµçºÉ)

2.2.1Electric Fields Due to Discrete Charges(ÀëÉ¢µçºÉ²úÉúµÄµç³¡)

2.2.2Electric Fields Due to Continuous Charge Distributions

(Á¬Ðø·Ö²¼µçºÉ²úÉúµÄµç³¡)

2.3Divergence of Electrostatic Fields and Gauss¡¯s Law(¾²µç³¡µÄÉ¢¶ÈÓë¸ß˹¶¨ÂÉ)

2.4Curl of Electrostatic Fields and Electric Potential(¾²µç³¡µÄÐý¶ÈÓëµçλ)

2.4.1Electric Potential Due to Discrete Charges(ÀëÉ¢µçºÉ²úÉúµÄµçλ)

2.4.2Electric Potential Due to a Continuous Charge Distribution

(Á¬Ðø·Ö²¼µçºÉ²úÉúµÄµçλ)

2.5Conductors in Static Electric Field(¾²µç³¡Öеĵ¼Ìå)

2.6Dielectrics in Static Electric Fields(¾²µç³¡ÖеĽéÖÊ)

2.7Electric Flux Density and Gauss¡¯s Law(µçͨÃܶÈÓë¸ß˹¶¨ÂÉ)

2.8Boundary Conditions for Electrostatic Fields(¾²µç³¡µÄ±ß½çÌõ¼þ)

2.9Capacitance and Capacitors(µçÈÝ)

2.10Electrostatic Energy(¾²µçÄÜ)

2.10.1Electrostatic Energy in Terms of Charge and Potential

(µçºÉÓëµçλ±íʾµÄ¾²µçÄÜ)

2.10.2Electrostatic Energy in Terms of Electric Field Quantities

(µç³¡±íʾµÄ¾²µçÄÜ)

Summary

Review Questions

Problems

Chapter 3Solution of Electrostatic Boundary Value Problems

(¾²µç³¡±ß½çÖµÎÊÌâÇó½â)

3.1Introduction(ÒýÑÔ)

3.2Poisson¡¯s and Laplace¡¯s Equations(²´ËÉ·½³Ì¡¢À­ÆÕÀ­Ë¹·½³Ì)

3.3Uniqueness of Electrostatic Solutions(¾²µç³¡½âµÄΨһÐÔ)

3.4Method of Images(¾µÏñ·¨)

3.4.1Image with Respect to Planes(ƽÃæ¾µÏñ)

3.4.2Image with Respect to Spheres(ÇòÃæ¾µÏñ)

3.4.3Image in Cylinders(Ô²ÖùÃæ¾µÏñ)

3.5Method of Separation of Variables(·ÖÀë±äÁ¿·¨)

Summary

Review Questions

Problems

Chapter 4Steady Electric Currents(ºã¶¨µçÁ÷)

4.1Introduction(ÒýÑÔ)

4.2Current Density, Ohm¡¯s Law and Joule¡¯s Law(µçÁ÷Ãܶȡ¢Å·Ä·¶¨ÂÉÓë½¹¶ú¶¨ÂÉ)

4.3Divergence of Current Density and Conservation of Charge

(µçÁ÷ÃܶȵÄÉ¢¶ÈÓëµçºÉÊغ㶨ÂÉ)

4.4Curl of Steady Electric Field and Electromotive Force(ºã¶¨µç³¡µÄÐý¶ÈÓëµç¶¯ÊÆ)

4.5Boundary Conditions for Current Density(µçÁ÷Ãܶȵı߽çÌõ¼þ)

4.6Resistance Calculations(µç×è¼ÆËã)

Summary

Review Questions

Problems

Chapter 5Static Magnetic Fields(ºã¶¨´Å³¡)

5.1Introduction(ÒýÑÔ)

5.2Magnetic Flux Density and Biotª²Savart Law(´ÅͨÃܶÈÓë±È°ÂÈø·¨¶¨ÂÉ)

5.3Divergence of Magnetic Flux Density and Vector Magnetic Potential

(´ÅͨÃܶȵÄÉ¢¶ÈÓëʸÁ¿´Åλ)

5.4Curl of Magnetic Flux Density and Ampere¡¯s Circuital Law

(´ÅͨÃܶȵÄÐý¶ÈÓë°²Å໷·¶¨ÂÉ)

5.5Magnetization and Equivalent Current Densities(´Å»¯ÓëµÈЧµçÁ÷ÃܶÈ)

5.6Magnetic Field Intensity and Relative Permeability(´Å³¡Ç¿¶ÈÓëÏà¶Ô´Åµ¼ÂÊ)

5.7Boundary Conditions for Magnetostatic Fields(ºã¶¨´Å³¡µÄ±ß½çÌõ¼þ)

5.8Magnetic Circuits(´Å·)

5.9Inductances and Inductors(µç¸Ð)

5.9.1Selfª²inductances of thin wires(ϸÏß×Ô¸Ð)

5.9.2Internal and external inductances(ÄÚµç¸ÐÓëÍâµç¸Ð)

5.9.3Mutual inductances and the Neumann Formula(»¥¸ÐÓëŦÂü¹«Ê½)

5.10Magnetic Energy(´ÅÄÜ)

5.10.1Magnetic Energy in Terms of Currents and Magnetic Fluxes

(µçÁ÷ºÍ´Åͨ±íʾµÄ´ÅÄÜ)

5.10.2Magnetic Energy in Terms of Field Quantities(³¡Á¿±íʾµÄ´ÅÄÜ)

Summary

Review Questions

Problems

Chapter 6Timeª²Varying Electromagnetic Fields(ʱ±äµç´Å³¡)

6.1Introduction(ÒýÑÔ)

6.2Curl of Timeª²Varying Electric Field and Faraday¡¯s Law of Induction

(µç³¡µÄÐý¶ÈÓë·¨À­µÚµç´Å¸ÐÓ¦¶¨ÂÉ)

6.3Curl of Timeª²Varying Magnetic Field and Displacement Current

(ʱ±ä´Å³¡µÄÐý¶ÈÓëλÒƵçÁ÷)

6.4Maxwell¡¯s Equations(Âó¿Ë˹Τ·½³Ì×é)

6.5Electromagnetic Boundary Conditions(µç´Å³¡±ß½çÌõ¼þ)

6.5.1Interface between Two Perfect Dielectrics(Á½ÖÖÀíÏë½éÖÊ·Ö½çÃæ)

6.5.2Interface between a Dielectric and a Perfect Conductor

(ÀíÏë½éÖÊÓëÀíÏëµ¼Ìå·Ö½çÃæ)

6.6Potential Functions and Wave Equations(λº¯ÊýÓ벨¶¯·½³Ì)

6.6.1Potential functions for timeª²varying fields£¨Ê±±ä³¡µÄλº¯Êý£©

6.6.2Solution of Wave Equations for Potentials(λº¯Êý²¨¶¯·½³ÌµÄ½â)

6.7Homogeneous Wave Equations in Sourceª²Free Region(ÎÞÔ´ÇøÓòµÄÆë´Î²¨¶¯·½³Ì)

6.8Poynting Vector and Flow of Electromagnetic Power(ÆÂӡ͢ʸÁ¿Óëµç´Å¹¦ÂÊÁ÷)

6.9Timeª²Harmonic Fields and Waves(ʱг³¡Ó벨)

6.9.1Phasor Expressions of Sinusoidal Field Quantities(ÕýÏÒ³¡Á¿µÄÏàÁ¿±íʾ)

6.9.2Phasor Form of Maxwell¡¯s Equations(ÏàÁ¿ÐÎʽµÄÂó¿Ë˹Τ·½³Ì)

6.9.3Nonhomogeneous Helmholtz¡¯s Equations and Phasor Form of Retarded Potential

(·ÇÆë´Îº¥Ä·»ô×È·½³Ì£¬ÍƳÙλµÄÏàÁ¿ÐÎʽ)

6.9.4Homogeneous Helmholtz¡¯s Equations in Sourceª²Free Region

(ÎÞÔ´ÇøÓòµÄÆë´Îº¥Ä·»ô×È·½³Ì)

6.9.5Timeª²Average Power and Energy(ʱ¼äƽ¾ù¹¦ÂÊÓëÄÜÁ¿)

6.9.6Phasor Form of Poynting¡¯s Theorem(ÏàÁ¿ÐÎʽµÄÆÂÓ¡Í¢¶¨Àí)

Summary

Review Questions

Problems

Chapter 7Uniform Plane Waves(¾ùÔÈƽÃ沨)

7.1Introduction(ÒýÑÔ)

7.2Plane Waves in Lossless Medium(ÎÞËðýÖÊÖеÄƽÃ沨)

7.2.1Transverse Electromagnetic Waves(ºáµç´Å²¨)

7.2.2Polarization of Plane Waves(ƽÃ沨µÄ¼«»¯)

7.3Plane Waves in Lossy Medium(ÓÐËðýÖÊÖеÄƽÃ沨)

7.3.1Low Loss Dielectrics(µÍËðºÄ½éÖÊ)

7.3.2Good Conductors(Á¼µ¼Ìå)

7.3.3Surface Resistance and Surface Impedance(±íÃæµç×èÓë±íÃæ×迹)

7.4Group Velocity(ȺËÙ¶È)

Summary

Review Questions

Problems

Chapter 8Plane Wave Reflection and Transmission(ƽÃ沨µÄ·´ÉäÓë͸Éä)

8.1Introduction(ÒýÑÔ)

8.2Normal Incidence at a PEC Planar Boundary(ÀíÏëµ¼ÌåƽÃæµÄ´¹Ö±ÈëÉä)

8.3Oblique Incidence at a PEC Planar Boundary(ÀíÏëµ¼ÌåƽÃæµÄбÈëÉä)

8.3.1Perpendicular Polarization(´¹Ö±¼«»¯)

8.3.2Parallel Polarization(ƽÐм«»¯)

8.4Normal Incidence at a Dielectric Planar Boundary(ÀíÏë½éÖÊƽÃæµÄ´¹Ö±ÈëÉä)

8.5Normal Incidence at Multiple Dielectric Interfaces(¶à²ã½éÖÊ·Ö½çÃæµÄ´¹Ö±ÈëÉä)

8.5.1Wave Impedance and Impedance Transformation(²¨×迹Óë×迹±ä»»)

8.5.2Halfª²wave Dielectric Window and Quarterª²wave Impedance transformer

(°ë²¨³¤½éÖÊ´°Óë1/4²¨³¤×迹±ä»»Æ÷)

8.6Oblique Incidence at a Dielectric Planar Boundary(½éÖÊƽÃæÉϵÄбÈëÉä)

8.6.1Perpendicular Polarization(´¹Ö±¼«»¯)

8.6.2Parallel Polarization(ƽÐм«»¯)

8.6.3Total Reflection(È«·´Éä)

8.6.4Brewster Angle and Total Transmission(²¼Èå˹ÌؽÇÓëȫ͸Éä)

Summary

Review Questions

Problems

Chapter 9Waveguides and Cavity Resonators(²¨µ¼ÓëгÕñÇ»)

9.1Introduction(ÒýÑÔ)

9.2Wave Propagation along Uniform Guiding Structures(¾ùÔȲ¨µ¼½á¹¹ÄÚ²¨µÄ´«²¥)

9.3TEM Waves and Twoª²Conductor Transmission Lines(TEM²¨ÓëË«µ¼Ìå´«ÊäÏß)

9.3.1General Characteristics of TEM Waves(TEM²¨µÄÒ»°ãÌØÕ÷)

9.3.2TEM Waves in Coaxial Lines(ͬÖáÏßÖеÄTEM²¨)

9.4TM and TE Waves(ºá´Å²¨Óëºáµç²¨)

9.4.1General Characteristics of TM Waves(ºá´Å²¨µÄÒ»°ãÌØÕ÷)

9.4.2General Characteristics of TE Waves(ºáµç²¨µÄÒ»°ãÌØÕ÷)

9.5Rectangular Waveguides(¾ØÐ⨵¼)

9.5.1TM Waves in Rectangular Waveguides(¾ØÐ⨵¼ÄÚµÄTM²¨)

9.5.2TE Waves in Rectangular Waveguides(¾ØÐ⨵¼ÄÚµÄTE²¨)

9.5.3Attenuation in Rectangular Waveguides(¾ØÐ⨵¼µÄË¥¼õ)

9.6Circular Waveguides(Ô²²¨µ¼)

9.6.1TM Waves in Circular Waveguides(Ô²²¨µ¼ÄÚµÄTM²¨)

9.6.2TE Waves in Circular Waveguides(Ô²²¨µ¼ÄÚµÄTE²¨)

9.6.3Nonª²TEM Waves in Coaxial Lines(ͬÖáÏßÖеķÇTEM²¨)

9.7Cavity Resonators(гÕñÇ»)

9.7.1Rectangular Cavity Resonators(¾ØÐÎгÕñÇ»)

9.7.2Quality Factor of Cavity Resonator(гÕñÇ»µÄÆ·ÖÊÒòÊý)

9.7.3Circular Cavity Resonator(Ô²ÐÎгÕñÇ»)

Summary

Review Questions

Problems