Chapter |
Section |
Title |
Page |
1 | | The Transmision Line Equations | 1 |
| 1.1 | The Transmission Line: A Definition | 1 |
| 1.2 | The Transmission Line Equations From Maxwell's Equations | 2 |
| 1.3 | The Transmission Line Equations From Kirchhoff's Equations | 6 |
| 1.4 | Low Pass Filters And Simulated Transmission Lines | 9 |
| 1.5 | The Wave Equation | 10 |
| 1.6 | Lossy Media | 12 |
| 1.7 | Suggested Further Reading | 14 |
| | - - - - - - - - - - | |
2 | | Time Domain Solutions To The Transmission
Line Equations | 15 |
| 2.1 | Travelling Waves On A Lossless Line | 15 |
| 2.2 | The Finite Length Lossless Line | 17 |
| 2.3 | Laplace Transform Solutions For The Lossless Line | 22 |
| 2.4 | Transmission Coefficients | 26 |
| 2.5 | Gas Discharges And Lighting Devices | 30 |
| 2.6 | Time Domain Reflectometry | 27 |
| 2.7 | Suggested Further Reading | 32 |
| | - - - - - - - - - - | |
3 | | The Alternating Current Steady State | 33 |
| 3.1 | General Solutions | 33 |
| 3.2 | The Finite Line And Its Two-Port Network Parameters | 36 |
| 3.3 | Standing Waves, VSWR And The Smith Chart | 38 |
| 3.4 | Suggested Further Reading | 45 |
| | - - - - - - - - - - | |
4 | | Scattering Parameters | 46 |
| 4.1 | The Scattering Matrix | 47 |
| 4.2 | Basic Properties of S Parameters | 51 |
| 4.3 | Examples of Two-Port Networks Characterized By
S Parameters | 51 |
| 4.4 | The Network Analyzer Measurement System | 57 |
| 4.5 | Reflectometer Network Measurements | 62 |
| 4.6 | Suggested Further Reading | 64 |
| | - - - - - - - - - - | |
5 | | Some Non-TEM Transmission Lines | 65 |
| 5.1 | The Quasi-Static Microstrip Line | 66 |
| 5.2 | The Frequency-Dependent Microstrip Line | 69 |
| 5.3 | The Microstrip Slow Wave Mode | 74 |
| 5.4 | The Parallel Stripline About A Sheet Of Dielectric | 75 |
| 5.5 | Slotline | 76 |
| 5.6 | Helical Line | 79 |
| 5.7 | Suggested Further Reading | 80 |
| | - - - - - - - - - - | |
6 | | Introduction To Conformal Transformations | 82 |
| 6.1 | Conformal Transformations | 82 |
| 6.2 | Example: The Coaxial Cable | 88 |
| 6.3 | Example: The Parallel Wire Line | 89 |
| 6.4 | Example: Two Thin Strips In The Same Plane | 92 |
| 6.5 | Stripline | 93 |
| 6.6 | Suggested Further Reading | 95 |
| | - - - - - - - - - - | |
7 | | The Skin Effect And Losses In Transmission Lines | 97 |
| 7.1 | The Skin Effect Equation | 98 |
| 7.2 | The Incremental Inductance Calculation | 105 |
| 7.3 | Suggested Further Reading | 107 |
| | - - - - - - - - - - | |
8 | | Coupled Transmission Lines | 109 |
| 8.1 | The Four-Port Impedance Matrix For a Coupled Pair Of
Identical Lines | 109 |
| 8.2 | Example: The Bi-Directional Coupler | 114 |
| 8.3 | Example: Coupled Transmission Line Filters | 117 |
| 8.4 | Miscellaneous Coupled Line Structures | 124 |
| 8.5 | Asymmetric Coupled Lines | 126 |
| 8.6 | Suggested Further Reading | 135 |
| | - - - - - - - - - - | |
9 | | Discrete Variable Solutions Of Laplace's Equation | 137 |
| 9.1 | Transmission Line Parameters From Laplace's Equation | 138 |
| 9.2 | The Discrete Form Of Laplace's Equation | 140 |
| 9.3 | The Total Energy Capacitance Calculation | 143 |
| 9.4 | A Simple Relaxation Program | 144 |
| 9.5 | Overrelaxation And Predictor Equations | 147 |
| 9.6 | The Relaxation Equation For Non-Uniform Dielectrics | 152 |
| 9.7 | Example: The Boxed Microstrip Line | 156 |
| 9.8 | Example: Coupled Lines | 159 |
| 9.9 | Example: The Total Charge Capacitance | 162 |
| 9.10 | Probabilistic Potential Theory | 165 |
| 9.11 | Suggested Further Reading | 169 |
| | - - - - - - - - - - | |
10 | | Determination Of Transmission Line Parameters | 170 |
| 10.1 | Poisson's Equation And A Green's Function Solution | 171 |
| 10.2 | An Analytic Laplace's Equation Solution For Stripline | 179 |
| 10.3 | Transmission Line Discontinuities And The Capacitance Matrix | 184 |
| 10.4 | Suggested Further Reading | 197 |
| | - - - - - - - - - - | |
11 | | Transmission Lines As Impedance Matching Networks | 199 |
| 11.1 | Impedance Matching With Quarter-Wave Sections Of Line | 200 |
| 11.2 | Tapered Transmission Lines | 203 |
| 11.3 | Transmission Line Transformers | 208 |
| 11.4 | Unbalanced Circuits, Grounding And Balun Transformers | 215 |
| 11.5 | Suggested Further Reading | 221 |
| | - - - - - - - - - - | |
12 | | Potpourri: Several Uses Of Transmission Lines As
Circuit Elements | 223 |
| 12.1 | Impedance Approximations For Low-Loss Lines | 223 |
| 12.2 | DC Blocks, DC Returns and Bias T's | 227 |
| 12.3 | Attenuator Circuits | 231 |
| 12.4 | Suggested Further Reading | 234 |
|
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| | - - - - - - - - - - | |
| | Index | 235 |