# Lossy Transmission Lines

Author: Fred E. Gardiol

Publisher: Artech House on Demand

ISBN: UOM:39015012451343

Category: Technology & Engineering

Page: 384

View: 447

Categories: Technology & Engineering

# Transmission Lines and Lumped Circuits

For lines with frequency dependent losses, the attenuation will be different for various frequency components and there will be a further variation in the phase velocity (see next chapter). 4.2. SOLUTION OF THE LOSSY TRANSMISSION LINE ...

Author: Giovanni Miano

Publisher: Elsevier

ISBN: 9780080519593

Category: Technology & Engineering

Page: 479

View: 230

The 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 high-speed 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 high-speed 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 in-depth analysis of transmission lines with nonlinear loads. A unified approach for the analysis of networks composed of distributed and lumped circuits A simple, concise and completely general way to present the wave propagation on transmission lines, including a thorough study of the line equations in characteristic form Frequency and time domain multiport representations of any linear transmission line A detailed analysis of the influence on the line characterization of the frequency and space dependence of the line parameters A rigorous study of the properties of the analytical and numerical solutions of the network equations The associated discrete circuits and the associated resisitive circuits of transmission lines Periodic solutions, bifurcations and chaos in transmission lines connected to noninear lumped circuits
Categories: Technology & Engineering

# Transmission Lines and Wave Propagation

A study of the step-function response of a lossy transmission line will complement the analysis of the preceding chapters. The Laplace transform provides a general operational technique which will accommodate problems of this ...

Author: Philip C. Magnusson

Publisher: CRC Press

ISBN: 9781351830690

Category: Technology & Engineering

Page: 536

View: 140

Categories: Technology & Engineering

# Lossy Transmission Lines

Author: Fred E. Gardiol

Publisher:

ISBN: 0608005649

Category:

Page: 396

View: 202

Categories:

# Optimal Design in Self damped Lossy Transmission Lines for Multichip Modules

S - Parameter Based Macro - Model with the Time - of - Flight Extraction 6 S - Parameter Based Macro - Model with the Time - of - Flight Extraction In order to precisely analyze the lossy transmission lines on MCM substrates ...

Author: Jimmy Shinn-Hwa Wang

Publisher:

ISBN: UCSC:32106013466195

Category: Electric lines

Page: 20

View: 674

Categories: Electric lines

# The Electrical Engineering Handbook

Power Flow A transmission line is intended for power transfer between the generator and the load. The average power flow along a lossless line can be calculated using: Pav = 'Revolo), (4.57) where the voltage and current are given by ...

Author: Wai Kai Chen

Publisher: Elsevier

ISBN: 0080477488

Category: Technology & Engineering

Page: 1018

View: 303

The Electrical Engineer's Handbook is an invaluable reference source for all practicing electrical engineers and students. Encompassing 79 chapters, this book is intended to enlighten and refresh knowledge of the practicing engineer or to help educate engineering students. This text will most likely be the engineer’s first choice in looking for a solution; extensive, complete references to other sources are provided throughout. No other book has the breadth and depth of coverage available here. This is a must-have for all practitioners and students! The Electrical Engineer's Handbook provides the most up-to-date information in: Circuits and Networks, Electric Power Systems, Electronics, Computer-Aided Design and Optimization, VLSI Systems, Signal Processing, Digital Systems and Computer Engineering, Digital Communication and Communication Networks, Electromagnetics and Control and Systems. About the Editor-in-Chief... Wai-Kai Chen is Professor and Head Emeritus of the Department of Electrical Engineering and Computer Science at the University of Illinois at Chicago. He has extensive experience in education and industry and is very active professionally in the fields of circuits and systems. He was Editor-in-Chief of the IEEE Transactions on Circuits and Systems, Series I and II, President of the IEEE Circuits and Systems Society and is the Founding Editor and Editor-in-Chief of the Journal of Circuits, Systems and Computers. He is the recipient of the Golden Jubilee Medal, the Education Award, and the Meritorious Service Award from the IEEE Circuits and Systems Society, and the Third Millennium Medal from the IEEE. Professor Chen is a fellow of the IEEE and the American Association for the Advancement of Science. * 77 chapters encompass the entire field of electrical engineering. * THOUSANDS of valuable figures, tables, formulas, and definitions. * Extensive bibliographic references.
Categories: Technology & Engineering

# High speed Circuit Board Signal Integrity

Transmission Lines 5.1 Introduction Lossy transmission lines are the norm on circuit boards , especially when signaling over narrow trace at high frequencies , where skin effect and dielectric losses cause signal distortion .

Author: Stephen C. Thierauf

Publisher: Artech House

ISBN: 1580538460

Category: Technology & Engineering

Page: 243

View: 491

This leading-edge circuit design resource offers the knowledge needed to quickly pinpoint transmission problems that can compromise circuit design. Discusses both design and debug issues at gigabit per second data rates.
Categories: Technology & Engineering

# Optimal Design of Self damped Lossy Transmission Lines in a Tree Network for Multichip Module

This paper addresses the above mentioned problems encountered in propagating highspeed signals through lossy transmission lines , which are found on the silicon - on - silicon thin - film multichip modules . Instead of termination by ...

Author: Jimmy S.-H. Wang

Publisher:

ISBN: UCSC:32106020335078

Category: Computer network architectures

Page: 18

View: 484

Abstract: "This paper addresses some of the problems encountered in propagating high-speed signals through lossy transmission lines on the substrates of silicon-on-silicon thin-film multichip modules (MCM). Instead of terminated by resistors, the lossy lines on the thin-film multichip modules can be structured to critically damp out the signal resonances, they are thus called optimal, self-damped lossy transmission lines. It is easiest to manufacture interconnection lines with fixed metal and dielectric thicknesses, and vary only the line width. This results in specific dependency of line width on length for self-damped lines. In this paper, we present a simple and robust method of designing self-damped lossy transmission lines in a tree network for multichip module. We vary the width of each branch of the network to meet certain electrical damping criteria. This results in stable operation as long as the lossy transmission line is shorter than the quarter wave length of the highest frequency component of interests. The lengths of lines on the silicon-on- silicon thin-film MCM substrate usually does not exceed this limit. If certain designs require larger substrate or higher speed, the materials and structural properties of the substrate (for example the dielectric thickness) is changed according to the method."
Categories: Computer network architectures

# Electromagnetic Waves

2.14 LOSSY TRANSMISSION LINES Till now we assumed the loss on the transmission line to be negligible and therefore we assumed the propagation constant of the line to be purely imaginary ( y = jß ) ...

Author: R K Shevgaonkar

Publisher: Tata McGraw-Hill Education

ISBN: 0070591164

Category: Electromagnetic waves

Page: 580

View: 526

Categories: Electromagnetic waves

# Introduction To Modern Planar Transmission Lines

The expression for the characteristic impedance of a line is obtained from equation (2.1.32). Characteristic Impedance The characteristic impedance Z0 of a uniform lossy transmission line is given by equation (2.1.39).

Author: Anand K. Verma

Publisher: John Wiley & Sons

ISBN: 9781119632276

Category: Technology & Engineering

Page: 944

View: 143

Provides a comprehensive discussion of planar transmission lines and their applications, focusing on physical understanding, analytical approach, and circuit models Planar transmission lines form the core of the modern high-frequency communication, computer, and other related technology. This advanced text gives a complete overview of the technology and acts as a comprehensive tool for radio frequency (RF) engineers that reflects a linear discussion of the subject from fundamentals to more complex arguments. Introduction to Modern Planar Transmission Lines: Physical, Analytical, and Circuit Models Approach begins with a discussion of waves on transmission lines and waves in material medium, including a large number of illustrative examples from published results. After explaining the electrical properties of dielectric media, the book moves on to the details of various transmission lines including waveguide, microstrip line, co-planar waveguide, strip line, slot line, and coupled transmission lines. A number of special and advanced topics are discussed in later chapters, such as fabrication of planar transmission lines, static variational methods for planar transmission lines, multilayer planar transmission lines, spectral domain analysis, resonators, periodic lines and surfaces, and metamaterial realization and circuit models. Emphasizes modeling using physical concepts, circuit-models, closed-form expressions, and full derivation of a large number of expressions Explains advanced mathematical treatment, such as the variation method, conformal mapping method, and SDA Connects each section of the text with forward and backward cross-referencing to aid in personalized self-study Introduction to Modern Planar Transmission Lines is an ideal book for senior undergraduate and graduate students of the subject. It will also appeal to new researchers with the inter-disciplinary background, as well as to engineers and professionals in industries utilizing RF/microwave technologies.
Categories: Technology & Engineering