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Advanced Signal Integrity For High-Speed Digital Designs by HOWARD L. HECK, STEPHEN H. HALL

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3

IDEAL TRANSMISSION-LINE FUNDAMENTALS

3.1 Transmission-Line Structures

3.2 Wave Propagation on Loss-Free Transmission Lines

3.2.1 Electric and Magnetic Fields on a Transmission Line

3.2.2 Telegrapher’s Equations

3.2.3 Equivalent Circuit for the Loss-Free Case

3.2.4 Wave Equation in Terms of LC

3.3 Transmission-Line Properties

3.3.1 Transmission-Line Phase Velocity

3.3.2 Transmission-Line Characteristic Impedance

3.3.3 Effective Dielectric Permittivity

3.3.4 Simple Formulas for Calculating the Characteristic Impedance

3.3.5 Validity of the TEM Approximation

3.4 Transmission-Line Parameters for the Loss-Free Case

3.4.1 Laplace and Poisson Equations

3.4.2 Transmission-Line Parameters for a Coaxial Line

3.4.3 Transmission-Line Parameters for a Microstrip

3.4.4 Charge Distribution near a Conductor Edge

3.4.5 Charge Distribution and Transmission-Line Parameters

3.4.6 Field Mapping

3.5 Transmission-Line Reflections

3.5.1 Transmission-Line Reflection and Transmission Coefficient

3.5.2 Launching an Initial Wave

3.5.3 Multiple Reflections

3.5.4 Lattice Diagrams and Over- or Underdriven Transmission Lines

3.5.5 Lattice Diagrams for Nonideal Topologies

3.5.6 Effect of Rise and Fall Times on Reflections

3.5.7 Reflections from Reactive Loads

3.6 Time-Domain Reflectometry

3.6.1 Measuring the Characteristic Impedance and Delay of a Transmission Line

3.6.2 Measuring Inductance and Capacitance of Reactive Structures

3.6.3 Understanding the TDR Profile

References

Problems

Transmission lines are ...

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