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 ...