Includes bibliographical references (p. 334-335) and index.
Part I. Transmission Line Fundamental 1. Introduction
1.1. Fundamental Approach
1.2. Overview
1.3. The Transmission Line Paritial Differential Equations (PDEs)
2. Single-Wave Lines
2.1. The Wave Equation
2.2. The Lossless Line
2.3. Termination in the Characteristic Impedance z0
2.4. Termination with a Resistive Load
2.5. Time Stepping Transmission Line Solutions
2.6. Numerical Algorithms -- Propagation
2.7. Lossy Lines
2.8. Small Backward Signal Approximation
2.9. Numierical Algorithm -- Lossy Propagation
3. Solutions of Resistive Networks
3.1. Kirchhoff's Laws
3.2. Voltage and Current Sources
3.3. Thevenin Equivalent Circuits
3.4. Norton Equivalent Circuits
3.5. General Network Solutions Using Norton Equivalent Circuits
4. Boundary Conditions -- Line End Equivalent Circuits
4.1. Thevenin Equivalent Circuit for a Transmission Line
4.2. Norton Equivalent Circuit for a Transmission Line
4.3. Joining Two or More Transmission Lines Together
5. Multi-Wire Lines -- Single Propagation Speed
5.1. Propagation
5.2. Boundary Conditions -- Line End Equivalent Circuits
5.3. Termination Crosstalk Between Traces
Part II. Circuit Solutions at Line Termination
6. Networks with Reactive and Non-linear Elements
6.1. Networks of Resistors
6.2. Synthesis of a Symmetric Resistive Circuit Matrix
6.3. Approximate Norton Equivalent for a Two-Terminal Network
6.4. Norton Equivalent for a Capacitor
6.5. Norton Equivalent for an Inductor
6.6. Norton Equivalent for an AC Termination
6.7. Performance of an AC Termination
6.8. Non-Linear Two-Terminal Circuit Elements
7. Simultaneous Transmission Line Network Solutions
7.1. Multi-Wire Line Terminated in a Network
7.2. Network of Multi-Wire Lines and Other Norton Circuits
8. Computer Algorithm for General Network Solutions
8.1. General Structure of the Code
8.2. Data-Input -- Network Definition
8.3. Initializing the Transmission Lines
8.4. Initializing the Networks
8.5. Open Output Files
8.6. Time-Stepping Loop
8.7. Closing the Output Files
9. Examples of Solutions Using Computer Code 8-1
9.1. Single-Wire Line -- Various Terminations
9.2. Three-Wire Line -- Control of Crosstalk
9.3. Branched Traces
Part III. Propagation in Layered Media
10. Modal Analysis in Layered Media
10.1. The Vector Wave Equations for Lossless Lines
10.2. Example of Multi-Speed Line
10.3. Propagation Modes of Multi-Speed Lines
10.4. Diagonalization of a Matrix
11. Characteristic Impedance of Multi-Speed Lines
11.1. Impedance Matrix for a Single Mode
11.2. Impedance Matrix, Combined Modes
11.3. Impedance Matrix in the Modal Basis
12. Transport on Lossy Multi-Speed Lines
12.1. Transmission Line Equations in the Modal Basis
12.2. Transport Equations in the Modal Basis
12.3. Transport Difference Approximation in the Modal Basis
13. Small Coupling Approximation of Propagation Crosstalk
13.1. Definition of the Primary Signal
13.2. The Secondary Signal, An Approximation of Propagation Crosstalk
13.3. Propagation Crosstalk of Impulse Function
14. Network Solutions Using Modal Analysis
14.1. Separating and Recombining the Propagation Modes
14.2. Solution of Networks with Multi-Speed Lines
Part IV. Transmission Line Parameter Determination
15. Introduction to Transmission Line Parameter Determination
16. Capacitance and Inductance in a Homogeneous Medium
16.1. Single Trace Capacitance and Inductance Simulation
16.2. Multi-Trace Capacitance and Inductance Simulation
17. Electric Fields in a Layered Circuit Board
17.1. Boundary Conditions at a Dielectric-Dielectric Boundary
17.2. Equivalent Charge at Dielectric-Dielectric Boundaries
17.3. Dielectrics Adjacent to Trace Surfaces
17.4. Equivalent Charges Induced by Physical Charges
17.5. Dielectric Boundary Intersecting a Conductor Surface
18. Calculation of Capacitance in a Layered Media
19. Capacitance and Inductance Between Two Ground Planes
19.1. Potential Due to a Uniformly Charged Segment
19.2. Electric Field Due to Segment Parallel to the X Axis
19.3. Electric Field Due to Segment Parallel to the Y Axis
19.4. Calculating the Capacitance and Inductance Matrices
20. Physics of the Skin Effect
20.1. Diffusion in a Slab
20.2. Classical Skin Effect
21. Plane Geometry Skin Effect Simulation
21.1. D.C. Current Density and Magnetic Field
21.2. Diffusion Equation Solutions
21.3. Equivalent Circuit for Two-Sided Diffusion
21.4. Diffusion on One Side of a Slab
21.5. Algorithm for Diffusive Voltage Drop
21.6. Diffusive Response to a Current Ramp
21.7. Norton and Thevenin Equivalents for Diffusion
21.8. Convergence of the Slab-Diffusion Series
22. Cylindrical Geometry Skin Effect Simulation
22.1. Field Partial Differential Equations
22.2. D.C. Current Density and Magnetic Field
22.3. Diffusion Equation Solutions
22.4. Equivalent Circuit for Diffusive Cylinder
22.5. Internal Inductance of a Cylindrical Conductor
22.6. Norton Equivalent Circuit for a Diffusive Cylinder
23. Propagation with Skin Effect
23.1. Distributed Voltage Source in the Transmission Line Equations
23.2. Lossy Propagation with Diffusion
23.3. Modified Circular Array for Propagation with Diffusion
23.4. Approximations Using Lumped Element Diffusion Model
Appendix A. Equivlence of Time-Domain and Frequency Domain Methods
Appendix B. Effect of Resistance in Reference Conductor
Solutions of Problems
References