一本传输线理论的好书——Artech House出版的

RFbeginner

Preface xi
1 Introduction 1
1.1 Planar Transmission Lines and Microwave Integrated Circuits 1
1.2 Analysis Methods for Planar Transmission Lines 7
1.3 Organization of the Book 9
2 Fundamentals of Electromagnetic Theory 12
2.1 Maxwell’s Equations 12
2.2 Constitutive Relations 14
2.3 Continuity Equation 15
2.4 Loss in Medium 15
2.5 Boundary Conditions 17
2.6 Skin Depth 18
2.7 Power Flow 19
2.8 Poisson’s and Laplace’s Equations 19
2.9 Wave Equations 20
2.10 Electric and Magnetic Potentials 21
2.11 Wave Types and Solutions 23
2.11.1 Wave Types 23
2.11.2 Wave Solutions 24
2.12 Orthogonality Relations 28
2.12.1 Orthogonality Relations Between h
mnx, y  and
Between e
mnx, y  28
2.12.2 Orthogonality Relations Between Electric Fields and
Between Magnetic Fields 31
vii
2.12.3 Orthogonality Relations Between Electric and
Magnetic Fields 32
2.12.4 Power Orthogonality for Lossless Structures 35
References 37
Problems 37
3 Green’s Function 39
3.1 Descriptions of Green’s Function 39
3.1.1 Solution of Poisson’s Equation Using Green’s
Function 39
3.1.2 Solution of the Wave Equation Using Green’s
Function 41
3.2 Sturm–Liouville Equation 42
3.3 Solutions of Green’s Function 44
3.3.1 Closed-Form Green’s Function 44
3.3.2 Series-Form Green’s Function 49
3.3.3 Integral-Form Green’s Function 53
References 56
Problems 56
Appendix: Green’s Identities 62
4 Planar Transmission Lines 63
4.1 Transmission Line Parameters 64
4.1.1 Static Analysis 64
4.1.2 Dynamic Analysis 66
4.2 Microstrip Line 68
4.3 Coplanar Waveguide 71
4.4 Coplanar Strips 74
4.5 Strip Line 76
4.6 Slot Line 78
References 80
Problems 81
5 Conformal Mapping 85
5.1 Principles of Mappings 85
5.2 Fundamentals of Conformal Mapping 87
5.3 The Schwarz–Christoffel Transformation 95
5.4 Applications of the Schwarz–Christoffel Transformation in
Transmisison Line Analysis 98
5.5 Conformal-Mapping Equations for Common Transmission
Lines 106
References 112
Problems 113
6 Variational Methods 120
6.1 Fundamentals of Variational Methods 121
6.2 Variational Expressions for the Capacitance per Unit Length
of Transmission Lines 123
6.2.1 Upper-Bound Variational Expression for C 124
6.2.2 Lower-Bound Variational Expression for C 125
6.2.3 Determination of C, Zo, and εeff 127
6.3 Formulation of Variational Methods in the Space Domain 128
6.3.1 Variational Formulation Using Upper-Bound
Expression 128
6.3.2 Variational Formulation Using Lower-Bound
Expression 130
6.4 Variational Methods in the Spectral Domain 135
6.4.1 Lower-Bound Variational Expression for C in the
Spectral Domain 135
6.4.2 Determination of C, Zo, and εeff 137
6.4.3 Formulation 138
References 142
Problems 143
Appendix: Systems of Homogeneous Equations from the
Lower-Bound Variational Formulation 148
7 Spectral-Domain Method 152
7.1 Formulation of the Quasi-static Spectral-Domain Analysis 152
7.2 Formulation of the Dynamic Spectral-Domain Analysis 162
References 176
Problems 177
Appendix A: Fourier Transform and Parseval’s Theorem 186
Appendix B: Galerkin’s Method 188
8 Mode-Matching Method 191
8.1 Mode-Matching Analysis of Planar Transmission Lines 191
8.1.1 Electric and Magnetic Field Expressions 193
8.1.2 Mode-Matching Equations 198
8.2 Mode-Matching Analysis of Planar Transmission Line
Discontinuities 203
8.2.1 Electric and Magnetic Field Expressions 203
8.2.2 Single-Step Discontinuity 207
8.2.3 Double-Step Discontinuity 211
8.2.4 Multiple-Step Discontinuity 214
References 221
Problems 222
Appendix A: Coefficients in Eqs. (8.62) 228
Appendix B: Inner Products in Eqs. (8.120)–(8.123) 233
Index 237
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