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Anand K. Verma
Introduction To Modern Planar Transmission Lines
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Оглавление
Страница 1
Table of Contents
List of Tables
List of Illustrations
Guide
Pages
Страница 7
Страница 8
Страница 9
Preface
Страница 11
Страница 12
1 Overview of Transmission Lines: (
Historical Perspective, Overview of Present Book
) Introduction
Objectives
1.1 Overview of the Classical Transmission Lines
1.1.1 Telegraph Line
1.1.2 Development of Theoretical Concepts in EM‐Theory
Electrostatics and Scalar Potential
Magnetic Effect of Current
Ohm's Law
Electric Effect of the Time‐Varying Magnetic Field
Concept of the Magnetic Vector Potential
Maxwell's Dynamic Electromagnetic Theory
Generation and Transmission of Electromagnetic Waves
Further Information on Potentials
EM‐Modeling of Medium
1.1.3 Development of the Transmission Line Equations Kelvin's Cable Theory
Heaviside Transmission Line Equation
1.1.4 Waveguides as Propagation Medium
1.2 Planar Transmission Lines
1.2.1 Development of Planar Transmission Lines
1.2.2 Analytical Methods Applied to Planar Transmission Lines
1.3 Overview of Present Book
1.3.1 The Organization of Chapters in This Book
Introductory Transmission Line and EM‐Wave Theory
Basic Planar Lines and Resonators
Analytical Methods
Contemporary Engineered Planar Structures
1.3.2 Key Features, Intended Audience, and Some Suggestions Key Features
Intended Audience
Some Suggestions
References Books
Journals
2 Waves on Transmission Lines – I: (
Basic Equations, Multisection Transmission Lines
) Introduction
Objectives
2.1 Uniform Transmission Lines
2.1.1 Wave Motion
2.1.2 Circuit Model of Transmission Line
The Resistance of a Line
The Inductance of a Line
The Capacitance of a Line
The Conductance of a Line
2.1.3 Kelvin–Heaviside Transmission Line Equations in Time Domain
The Loop Equation
The Node Equation
2.1.4 Kelvin–Heaviside Transmission Line Equations in Frequency‐Domain
2.1.5 Characteristic of Lossy Transmission Line
Characteristic Impedance
Propagation Constant
2.1.6 Wave Equation with Source
Shunt Current Source
The Loop Equation
The Node Equation
2.1.7 Solution of Voltage and Current‐Wave Equation
The Hyperbolic Form of a Solution
Short‐Circuited Receiving End
Open‐Circuited Receiving End
Matched and Mismatched Termination
Exponential Form of Solution
2.1.8 Application of Thevenin's Theorem to Transmission Line
Transfer Function
2.1.9 Power Relation on Transmission Line
Available Power from Generator
2.2 Multisection Transmission Lines and Source Excitation
2.2.1 Multisection Transmission Lines
2.2.2 Location of Sources
Current Source at the Junction of Finite Length Line and Infinite Length Line
Series Voltage Source
2.3 Nonuniform Transmission Lines
2.3.1 Wave Equation for Nonuniform Transmission Line
2.3.2 Lossless Exponential Transmission Line
References Books
Journals
3 Waves on Transmission Lines – II: (
Network Parameters, Wave Velocities, Loaded Lines
) Introduction
Objectives
3.1 Matrix Description of Microwave Network
3.1.1 [Z] Parameters
Example 3.1
Solution
Example 3.2
Solution
3.1.2 Admittance Matrix
Example 3.3
Solution
Example 3.4
Solution
3.1.3 Transmission [ABCD] Parameter
Example 3.5
Solution
Example 3.6
Solution
Example 3.7
Solution
3.1.4 Scattering [S] Parameters
Basic Concept
Scattering [S] Matrix
Reflection Coefficient S
ii
Transmission Coefficient S
ij
Properties of [S] Matrix
Reciprocity Property
Unitary Property
Phase Shift Property
Example 3.8
Solution
Example 3.9
Solution
Example 3.10
Solution
Example 3.11
Solution
3.2 Conversion and Extraction of Parameters
3.2.1 Relation Between Matrix Parameters [Z] and [ABCD] Parameters
[S] and [Z] Parameters
[ABCD] and [S] Parameters
3.2.2 De‐Embedding of True S‐Parameters
3.2.3 Extraction of Propagation Characteristics
3.3 Wave Velocity on Transmission Line
3.3.1 Phase Velocity
3.3.2 Group Velocity
Formation of Two‐Frequency Wave‐Packet
3.4 Linear Dispersive Transmission Lines
3.4.1 Wave Equation of Dispersive Transmission Lines
3.4.2 Circuit Models of Dispersive Transmission Lines
Shunt Inductor Loaded Line
Backward Wave Supporting Line
Series Connected Parallel L
sh
‐C Type Line
Series Capacitor Loaded LC‐Line
References Books
Journals
4 Waves in Material Medium – I: (
Waves in Isotropic and Anisotropic Media, Polarization of Waves
) Introduction
Objectives
4.1 Basic Electrical Quantities and Parameters
4.1.1 Flux Field and Force Field
Gauss’s Law for Electric Flux
Gauss’s Law for Magnetic Flux
4.1.2 Constitutive Relations
4.1.3 Category of Materials Dielectric Materials
Magnetic Materials
Conductors
4.2 Electrical Property of Medium
4.2.1 Linear and Nonlinear Medium
4.2.2 Homogeneous and Nonhomogeneous Medium
4.2.3 Isotropic and Anisotropic Medium
Symmetric Anisotropic Materials
Anti‐symmetric Anisotropic Materials
Gyroelectric Medium
Gyromagnetic Medium
Magneto‐dielectric Composite Materials
Magnetoelectric Materials
4.2.4 Nondispersive and Dispersive Medium
4.2.5 Non‐lossy and Lossy Medium
4.2.6 Static Conductivity of Materials
4.3 Circuit Model of Medium
4.3.1 RC Circuit Model of Lossy Dielectric Medium
4.3.2 Circuit Model of Lossy Magnetic Medium
4.4 Maxwell Equations and Power Relation
4.4.1 Maxwell’s Equations
4.4.2 Power and Energy Relation from Maxwell Equations
4.5 EM‐waves in Unbounded Isotropic Medium
4.5.1 EM‐wave Equation
4.5.2 1D Wave Equation
4.5.3 Uniform Plane Waves in Linear Lossless Homogeneous Isotropic Medium
4.5.4 Vector Algebraic Form of Maxwell Equations
4.5.5 Uniform Plane Waves in Lossy Conducting Medium
4.6 Polarization of EM‐waves
4.6.1 Linear Polarization
4.6.2 Circular Polarization
4.6.3 Elliptical Polarization
4.6.4 Jones Matrix Description of Polarization States
Jones Vector
Jones Matrix
Jones Matrix of Linear Polarizer
Jones Matrix of a Linear Polarizer Rotated at Angle θ with the y‐Axis
Transformation of E‐vector Components
Transformation of Jones Matrix of Polarizer
Jones Matrix for Retarder (Phase Shifter)
Jones Matrix of Half‐waveplate
Jones Matrix of Quarter‐waveplate
4.7 EM‐waves Propagation in Unbounded Anisotropic Medium
4.7.1 Wave Propagation in Uniaxial Medium
Waveplates and Phase Shifters
4.7.2 Wave Propagation in Uniaxial Gyroelectric Medium
4.7.3 Dispersion Relations in Biaxial Medium
4.7.4 Concept of Isofrequency Contours and Isofrequency Surfaces
4.7.5 Dispersion Relations in Uniaxial Medium
References Books
Journals
5 Waves in Material Medium‐II: (
Reflection & Transmission of Waves, Introduction to Metamaterials
) Introduction
Objectives
5.1 EM‐Waves at Interface of Two Different Media
5.1.1 Normal Incidence of Plane Waves
5.1.2 The Interface of a Dielectric and Perfect Conductor
5.1.3 Transmission Line Model of the Composite Medium
5.2 Oblique Incidence of Plane Waves
5.2.1 TE (Perpendicular) Polarization Case
The Oblique Incidence on a Perfect Electric Conductor
5.2.2 TM (Parallel) Polarization Case
The Oblique Incidence on a Perfect Electric Conductor
5.2.3 Dispersion Diagrams of Refracted Waves in Isotropic and Uniaxial Anisotropic Media
5.2.4 Wave Impedance and Equivalent Transmission Line Model
Formulation of Transmission Line Model
Correspondence between Wave Impedance and Characteristic Impedance
Refection/Transmission Coefficients at Media Interface and Lines Junction
Computation of Reflection and Transmission Coefficients
5.3 Special Cases of Angle of Incidence
5.3.1 Brewster Angle
TE‐Polarization
TM‐Polarization
5.3.2 Critical Angle
Case #1: θ
1
< θ
c
Case#2: θ
1
= θ
c
Case#3: θ
1
> θ
c
TE Polarization
TM Polarization
5.4 EM‐Waves Incident at Dielectric Slab
5.4.1 Oblique Incidence
5.4.2 Normal Incidence
5.5 EM‐Waves in Metamaterials Medium
5.5.1 General Introduction of Metamaterials and Their Classifications
5.5.2 EM‐Waves in DNG Medium
Lossless DNG Medium
Refractive Index of DNG Medium
Wave Impedance of DNG and SNG Media
Negative Refraction in DPS‐DNG Composite Medium
5.5.3 Basic Transmission Line Model of the DNG Medium
5.5.4 Lossy DPS and DNG Media
5.5.5 Wave Propagation in DNG Slab
Phase – Compensation in the DPS‐DNG Slab
Amplitude‐Compensation in the DNG Slab
5.5.6 DNG Flat Lens and Superlens
Veselago Flat Lens
Pendry Superlens Lens
HyperLens
5.5.7 Doppler and Cerenkov Radiation in DNG Medium
Doppler Effect
Inverse Doppler Effect
Cerenkov Radiation
Inverse Cerenkov Radiation
5.5.8 Metamaterial Perfect Absorber (MPA)
Salisbury Absorber
Metasurface Absorber
DNG Slab Absorber
Lossy DNG Slab with Conductor Backing
Lossy DNG Slab Without Conductor Backing
References Books
Journals
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