Digital Transmission Lines: Computer Modelling and Analysis: with CD-ROM

Digital Transmission Lines: Computer Modeling and Analysis adopts a unique approach which offers the reader an intuitive understanding of the causes and nature of crosstalk as well as the conceptual and mathematical tools to control it. It begins with an introduction to the transmission line equations, progresses to the solution for the signals on networks of multi-wire lines in layered dielectric media, and further develops a method to include the skin effect in the propagation algorithm. All of the algorithms developed are illustrated in computer codes (in the C programming language). The codes are discussed in the book and included on a compact disk (CD-ROM). The text's most significant feature is its method of simulating crosstalk between closely spaced traces on a circuit board and providing design tools for its control. The author explains methods that he has successfully used to simulate multi-wire transmission line signal propagation; provides explanations that enhance students' understanding of propagation and crosstalk; and uses mathematical algorithms for their numerical evaluation. He also describes design methods for reducing crosstalk between traces on a multi-layered circuit board. Numerous exercises, hints, problems, and computer code illustrate each of the algorithms developed and encourage the reader to become actively involved. An accompanying CD-ROM contains all source code from the text as well as executable demo versions of commercial CAD programs that illustrate use of the principles in the book. Ideal for graduate courses in electrical engineering and computer science, Digital Transmission Lines: Computer Modeling and Analysis will also serve as an indispensable reference for software engineers, electronic design engineers, and electromagnetic research professionals.

Table of Contents:
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

Review :
"This in-depth and hands-on book is valuable as a reference book for undergraduate and graduate students and to help them learn that knowledge of transmission lines can be applied to the propagation of signals on circuit boards. I like the fact that numerical stimulation can be performed with the computer codes on the accompanying disk. How thoughtful and inviting to visualize the dynamics of transmission characteristics."--Richard K. Chang, Yale University