Full-Wave Field Interactions of Nonuniform TransmissionLinesDissertationzur Erlangung des akademischen GradesDoktoringenieur(Dr.-Ing.)von Dipl.-Ing. Heiko Haasegeb. am 30.01.1974 in Magdeburggenehmigt durch die Fakult at fur Elektrotechnik und Informationstechnikder Otto-von-Guericke-Universit at MagdeburgGutachter:Univ.-Prof. Dr. rer. nat. habil. Jurg en Nitsch Dr.-Ing. Gun ter WollenbergDr. Dr. E.h. Carl E. BaumProf. Dr.-Ing. habil. Albrecht ReibigerPromotionskolloquium am 02.03.20052“Just because something doesn’t do what you planned it to do doesn’t mean it’suseless.”Thomas A. Edison (1847 - 1931)34ContentsAcknowledgment 9Abstract 13Zusammenfassung 15List of Symbols 171 Introduction 212 ReviewofMaxwell’sTheoryandtheClassicalTransmission-LineThe-ory 272.1 Maxwell’s Theory 272.1.1 Formulation of Maxwell’s Equations 272.1.2 Retarded Electromagnetic Potentials 302.1.3 Calculating the Current and Charge Distributions 322.2 Classical Transmission-Line Theory 332.2.1 Properties of the TEM Mode 342.2.2 Telegrapher Equations 352.2.3 Field Coupling 372.2.4 Losses and Dielectrics 392.2.5 Nonuniformity and Multiconductor Lines 392.2.6 Di erent Representations 402.2.7 Solution 413 Equations for Nonuniform Transmission Lines 433.1 Conductor Geometry 443.1.1 Local Coordinate System 443.1.2 Tangential Surface Vector 463.1.3 Volume and Integrals 473.2 Equations from Electrodynamics 473.2.1 Continuity Equation 483.2.