## Analysis of Multiconductor Transmission LinesThe essential textbook for electrical engineering students and professionals-now in a valuable new edition The increasing use of high-speed digital technology requires that all electrical engineers have a working knowledge of transmission lines. However, because of the introduction of computer engineering courses into already-crowded four-year undergraduate programs, the transmission line courses in many electrical engineering programs have been relegated to a senior technical elective, if offered at all. Now, Analysis of Multiconductor Transmission Lines, Second Edition has been significantly updated and reorganized to fill the need for a structured course on transmission lines in a senior undergraduate- or graduate-level electrical engineering program. In this new edition, each broad analysis topic, e.g., per-unit-length parameters, frequency-domain analysis, time-domain analysis, and incident field excitation, now has a chapter concerning two-conductor lines followed immediately by a chapter on MTLs for that topic. This enables instructors to emphasize two-conductor lines or MTLs or both. In addition to the reorganization of the material, this Second Edition now contains important advancements in analysis methods that have developed since the previous edition, such as methods for achieving signal integrity (SI) in high-speed digital interconnects, the finite-difference, time-domain (FDTD) solution methods, and the time-domain to frequency-domain transformation (TDFD) method. Furthermore, the content of Chapters 8 and 9 on digital signal propagation and signal integrity application has been considerably expanded upon to reflect all of the vital information current and future designers of high-speed digital systems need to know. Complete with an accompanying FTP site, appendices with descriptions of numerous FORTRAN computer codes that implement all the techniques in the text, and a brief but thorough tutorial on the SPICE/PSPICE circuit analysis program, Analysis of Multiconductor Transmission Lines, Second Edition is an indispensable textbook for students and a valuable resource for industry professionals. |

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### Contents

Problems | 61 |

References | 69 |

The TransmissionLine Equations for Multiconductor Lines | 89 |

The PerUnitLength Parameters for TwoConductor Lines | 110 |

WireType Lines | 119 |

Problems | 156 |

Rectangular Cross Section | 189 |

FrequencyDomain Analysis of TwoConductor Lines | 240 |

References | 467 |

Problems | 537 |

Literal Symbolic Solutions for ThreeConductor Lines | 544 |

Problems | 575 |

Problems | 638 |

Problems | 691 |

Problems | 727 |

Publications by the Author Concerning Transmission Lines | 729 |

Problems | 278 |

Problems | 338 |

Time Domain? | 374 |

Transformation Method | 421 |

Problems | 461 |

Appendix A Description of Computer Software | 736 |

SPICEINC FOR | 753 |

771 | |

### Common terms and phrases

analysis approximate bound charge capacitance matrix chain-parameter matrix Chapter characteristic impedance charge distribution coefﬁcients components computed convolution coupling cross section crosstalk deﬁned deﬁnition denoted determine diagonal dielectric domain electric ﬁeld Electromagnetic Compatibility equivalent circuit FDTD ﬁrst FORTRAN frequency frequency-domain given gives ground plane Hence homogeneous medium identical IEEE Transactions illustrated in Figure incident field inﬁnite inhomogeneous internal inductance Laplace transform line length line voltages losses lossless line lumped-Pi method mils mode MTL equations multiconductor transmission lines near-end crosstalk node obtained output per-unit-length capacitance per-unit-length inductance per-unit-length parameters permittivity phasor predictions printed circuit board propagation pulse recursion reference conductor reﬂected representation ribbon cable shown in Figure skin effect solution solved SPICE model Substituting surface TDFD termination networks time-domain transmission lines transmission-line equations tube two-conductor lines vector voltages and currents VS(t wave waveform wire zero