Transmission Lines and Lumped Circuits: Fundamentals and ApplicationsThe theory of transmission lines is a classical topic of electrical engineering. Recently this topic has received renewed attention and has been a focus of considerable research. This is because the transmisson line theory has found new and important applications in the area of highspeed VLSI interconnects, while it has retained its significance in the area of power transmission. In many applications, transmission lines are connected to nonlinear circuits. For instance, interconnects of highspeed VLSI chips can be modelled as transmission lines loaded with nonlinear elements. These nonlinearities may lead to many new effects such as instability, chaos, generation of higher order harmonics, etc. The mathematical models of transmission lines with nonlinear loads consist of the linear partial differential equations describing the current and voltage dynamics along the lines together with the nonlinear boundary conditions imposed by the nonlinear loads connected to the lines. These nonlinear boundary conditions make the mathematical treatment very difficult. For this reason, the analysis of transmission lines with nonlinear loads has not been addressed adequately in the existing literature. The unique and distinct feature of the proposed book is that it will present systematic, comprehensive, and indepth analysis of transmission lines with nonlinear loads.

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Contents
49  
Chapter 3 Ideal Multiconductor Transmission Lines  93 
Chapter 4 Lossy TwoConductor Transmission Lines  129 
Chapter 5 Lossy TwoConductor Transmission Lines with FrequencyDependent Parameters  181 
Chapter 6 Lossy Multiconductor Transmission Lines  215 
Chapter 7 Nonuniform Transmission Lines  265 
Chapter 8 Transmission Line Equations in Characteristic Form  305 
Chapter 9 Lumped Nonlinear Networks Interconnected by Transmission Lines  337 
Periodic Solutions Bifurcations and Chaos  377 
Appendix A Some Useful Notes on the Matrix Operators  435 
Appendix B Some Useful Notes on the Laplace Transformation  445 
Appendix C Some apriori Estimates  453 
Appendix D Tables of Equivalent Representations of Transmission Lines  457 
463  
471  
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Common terms and phrases
admittance amplitude analytically asymptotic behavior asymptotic expressions backward voltage wave backward wave boundary conditions branch points capacitor Chapter characteristic curves conductor convolution convolution theorem depend described dielectric differential equations Dirac pulse distributed sources dynamics eigenvalues eigenvectors electrical equivalent circuit Figure fixed point forward wave frequency function given by Eq guiding structure Heaviside condition impedance impulse responses initial conditions inputoutput description inputstateoutput description interval inverse Laplace transform Korn Laplace domain Let us consider line connected line ends lossy lumped circuits matrix multiconductor lines multiconductor transmission line multiport nonlinear resistor numerical obtain oneport ordinary differential equation parameters passive perunitlength Poynting theorem problem propagation properties represented resistor shown in Fig skin effect ſº solution of Eq system of equations tent map theorem Thévenin Thévenin equivalent transmission line equations transverse twoconductor line twoconductor transmission lines twoport variables voltage and current voltage source Volterra integral equations wi(t zero
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Page 470  Fast and accurate switching transient calculations on transmission lines with ground return using recursive convolutions,
Page ii  Giovanni Miano and Antonio Maffucci, Transmission Lines and Lumped Circuits Shan X. Wang and Alexander M. Taratorin, Magnetic Information Storage Technology Related Books John C. Mallinson, The Foundations of Magnetic Recording, Second Edition Reinaldo Perez, Handbook of Electromagnetic Compatibility Related Journals A sample journal issue is available online by visiting the homepage of the journal (homepage details at the top of this page). Free specimen copy gladly sent on request.
Page 464  Arbitrary Pulse Shape Synthesis via Nonuniform Transmission Lines,
Page 23  India. where /4 is the magnetic permeability and a is the electrical conductivity of the fluid.
Page xxii  In particular, we appreciate the support for the development of this text from the Department of Electrical Engineering of the University of Naples, Federico II.