Contents

  • 1 - INTRODUCTION TO THE THEORY OF MULTICONDUCTOR TRANSMISSION LINES
  • 1.1 - Time-Domain Equations
  • 1.1.1 - Maxwell's Equations
  • 1.1.2 - Wave Equations in Vacuum
  • 1.2 - Frequency-Domain Equations
  • 1.2.1 - Time-Harmonic Regimes
  • 1.2.2 - Longitudinal Impedance and Transverse Admittance Matrices per Unit Length
  • 1.3 - Ordinary Propagation Modes
  • 1.3.1 - Diagonalization of ZY and YZ
  • 1.3.2 - A Remark and a Word of Caution
  • 1.3.3 - Characteristic Wave Immitances in Modal Coordinates
  • 1.3.4 - Modal Solution of Transmission-Line Equations
  • 1.4 - Transmission-Line Matrices
  • 1.4.1 - Transfer Matrices
  • 1.4.2 - Immitance Matrices
  • 1.4.3 - Line Termination
  • 1.5 - Demonstration Example
  • 2 - A PERTURBATION APPROACH TO MODAL ANALYSIS
  • 2.1 - Perturbation Formalism for Nondegenerate Cases
  • 2.2 - Perturbation Formalism for Degenerate Cases
  • 2.3 - Application Examples
  • 2.3.1 - Asymmetrical Two-Line Microstrip Structures
  • 2.3.2 - Weakly Coupled Strongly Nondegenerate Structures
  • 2.3.3 - Coplanar N-Coupled-Stripline Structures
  • 2.3.4 - Quasi-Periodic Cascaded Structures
  • 3 - RESONANCE EFFECTS DUE TO MULTICONDUCTOR-LINE DISCONTINUITIES
  • 3.1 - Frequency-Dependent Propagation Characteristics
  • 3.2 - Techniques Based on Immitance Matrices
  • 3.2.1 - Short-Circuit Discontinuities
  • 3.2.2 - Open-Circuit Discontinuities
  • 3.2.3 - Demonstration Examples
  • 3.3 - Techniques Based on Modal Analysis
  • 3.3.1 - Three-Line Microstrip Structure with Grounded Side Lines
  • 3.3.2 - Application Example
  • 3.4 - Techniques Based on Transfer Matrices
  • 3.4.1 - Three-Line Microstrip Structure with Internal Gaps and Shorted Terminals
  • 3.4.2 - Application Example
  • 3.4.3 - Effect of Increasing the Series-Gap Capacitance
  • 4 - GENERALIZED MODAL THEORY
  • 4.1 - Diagonalizability and Degeneracy
  • 4.1.1 - Single Eigenvalues
  • 4.1.2 - Multiple Eigenvalues
  • 4.2 - Demonstration of Nondiagonalizable Cases
  • 4.2.1 - Asymmetrical Two-Line Microstrip Configuration
  • 4.2.2 - Symmetrical Three-Line Microstrip Configuration
  • 4.2.3 - Cylindrical-Conductor Two-Line Configuration
  • 4.3 - Modal Groups
  • 4.3.1 - Jordan Forms
  • 4.3.2 - Modal-Group Voltages and Currents
  • 4.3.3 - Properties of Modal Groups
  • 4.4 - Transmission-Line Matrices
  • 4.4.1 - Characteristic Wave Immitances
  • 4.4.2 - Exponential and Hyperbolic Matrix Functions
  • 4.5 - Application Example