Design of Wideband Power Transfer Networks [Other digital carrier]

About the Author xiii Preface xv 1 Circuit Theory for Power Transfer
Networks 1 1.1 Introduction 1 1.2 Ideal Circuit Elements 2 1.3 Average Power
Dissipation and Effective Voltage and Current 3 1.4 Definitions of Voltage
and Current Phasors 5 1.5 Definitions of Active, Passive and Lossless
One-ports 6 1.6 Definition of Resistor 6 1.7 Definition of Capacitor 7 1.8
Definition of Inductor 8 1.9 Definition of an Ideal Transformer 11 1.10
Coupled Coils 12 1.11 Definitions: Laplace and Fourier Transformations of a
Time Domain Function f(t) 12 1.12 Useful Mathematical Properties of Laplace
and Fourier Transforms of a Causal Function 14 1.13 Numerical Evaluation of
Hilbert Transform 20 1.14 Convolution 21 1.15 Signal Energy 21 1.16
Definition of Impedance and Admittance 22 1.17 Immittance of One-port
Networks 23 1.18 Definition: 'Positive Real Functions' 25 2 Electromagnetic
Field Theory for Power Transfer Networks: Fields, Waves and Lumped Circuit
Models 35 2.1 Introduction 35 2.2 Coulomb's Law and Electric Fields 36 2.3
Definition of Electric Field 37 2.4 Definition of Electric Potential 38 2.5
Units of Force, Energy and Potential 41 2.6 Uniform Electric Field 42 2.7
Units of Electric Field 43 2.8 Definition of Displacement Vector or 'Electric
Flux Density Vector' D 43 2.9 Boundary Conditions in an Electric Field 46
2.10 Differential Relation between the Potential and the Electric Field 47
2.11 Parallel Plate Capacitor 49 2.12 Capacitance of a Transmission Line 52
2.13 Capacitance of Coaxial Cable 54 2.14 Resistance of a Conductor of Length
L: Ohm's Law 55 2.15 Principle of Charge Conservation and the Continuity
Equation 60 2.16 Energy Density in an Electric Field 61 2.17 The Magnetic
Field 61 2.18 Generation of Magnetic Fields: Biot-Savart and Ampe're's Law 64
2.19 Direction of Magnetic Field: Right Hand Rule 67 2.20 Unit of Magnetic
Field: Related Quantities 67 2.21 Unit of Magnetic Flux Density B 68 2.22
Unit of Magnetic Flux 68 2.23 Definition of Inductance L 68 2.24 Permeability
m and its Unit 69 2.25 Magnetic Force between Two Parallel Wires 70 2.26
Magnetic Field Generated by a Circular Current-Carrying Wire 71 2.27 Magnetic
Field of a Tidily Wired Solenoid of N Turns 73 2.28 The Toroid 73 2.29
Inductance of N-Turn Wire Loops 74 2.30 Inductance of a Coaxial Transmission
Line 76 2.31 Parallel Wire Transmission Line 81 2.32 Faraday's Law 82 2.33
Energy Stored in a Magnetic Field 83 2.34 Magnetic Energy Density in a Given
Volume 83 2.35 Transformer 84 2.36 Mutual Inductance 87 2.37 Boundary
Conditions and Maxwell Equations 89 2.38 Summary of Maxwell Equations and
Electromagnetic Wave Propagation 96 2.39 Power Flow in Electromagnetic
Fields: Poynting's Theorem 101 2.40 General Form of Electromagnetic Wave
Equation 101 2.41 Solutions of Maxwell Equations Using Complex Phasors 103
2.42 Determination of the Electromagnetic Field Distribution of a Short
Current Element: Hertzian Dipole Problem 105 2.43 Antenna Loss 108 2.44
Magnetic Dipole 108 2.45 Long Straight Wire Antenna: Half-Wave Dipole 109
2.46 Fourier Transform of Maxwell Equations: Phasor Representation 110 3
Transmission Lines for Circuit Designers: Transmission Lines as Circuit
Elements 117 3.1 Ideal Transmission Lines 117 3.2 Time Domain Solutions of
Voltage and Current Wave Equations 122 3.3 Model for a Two-Pair Wire
Transmission Line as an Ideal TEM Line 122 3.4 Model for a Coaxial Cable as
an Ideal TEM Line 123 3.5 Field Solutions for TEM Lines 123 3.6 Phasor
Solutions for Ideal TEM Lines 124 3.7 Steady State Time Domain Solutions for
Voltage and Current at Any Point z on the TEM Line 125 3.8 Transmission Lines
as Circuit Elements 126 3.9 TEM Lines as Circuit or 'Distributed' Elements
127 3.10 Ideal TEM Lines with No Reflection: Perfectly Matched and Mismatched
Lines 142 4 Circuits Constructed with Commensurate Transmission Lines:
Properties of Transmission Line Circuits in the Richard Domain 149 4.1 Ideal
TEM Lines as Lossless Two-ports 149 4.2 Scattering Parameters of a TEM Line
as a Lossless Two-port 151 4.3 Input Reflection Coefficient under Arbitrary
Termination 153 4.4 Choice of the Port Normalizations 154 4.5 Derivation of
the Actual Voltage-Based Input and Output Incident and Reflected Waves 154
4.6 Incident and Reflected Waves for Arbitrary Normalization Numbers 157 4.7
Lossless Two-ports Constructed with Commensurate Transmission Lines 165 4.8
Cascade Connection of Two UEs 168 4.9 Major Properties of the Scattering
Parameters for Passive Two-ports 170 4.10 Rational Form of the Scattering
Matrix for a Resistively Terminated Lossless Two-port Constructed by
Transmission Lines 176 4.11 Kuroda Identities 187 4.12 Normalization Change
and Richard Extractions 188 4.13 Transmission Zeros in the Richard Domain 196
4.14 Rational Form of the Scattering Parameters and Generation of g(l) via
the Losslessness Condition 197 4.15 Generation of Lossless Two-ports with
Desired Topology 197 4.16 Stepped Line Butterworth Gain Approximation 211
4.17 Design of Chebyshev Filters Employing Stepped Lines 216 4.18 MATLABCodes
to Design Stepped Line Filters Using Chebyshev Polynomials 230 4.19 Summary
and Concluding Remarks on the Circuits Designed Using Commensurate
Transmission Lines 241 5 Insertion Loss Approximation for Arbitrary Gain
Forms via the Simplified Real Frequency Technique: Filter Design via SRFT 255
5.1 Arbitrary Gain Approximation 255 5.2 Filter Design via SRFT for Arbitrary
Gain and Phase Approximation 256 5.3 Conclusion 267 6 Formal Description of
Lossless Two-ports in Terms of Scattering Parameters: Scattering Parameters
in the p Domain 277 6.1 Introduction 277 6.2 Formal Definition of Scattering
Parameters 278 6.3 Generation of Scattering Parameters for Linear Two-ports
290 6.4 Transducer Power Gain in Forward and Backward Directions 292 6.5
Properties of the Scattering Parameters of Lossless Two-ports 293 6.6 Blashke
Products or All-Pass Functions 300 6.7 Possible Zeros of a Proper Polynomial
f(p) 301 6.8 Transmission Zeros 302 6.9 Lossless Ladders 307 6.10 Further
Properties of the Scattering Parameters of Lossless Two-ports 308 6.11
Transfer Scattering Parameters 310 6.12 Cascaded (or Tandem) Connections of
Two-ports 311 6.13 Comments 313 6.14 Generation of Scattering Parameters from
Transfer Scattering Parameters 315 7 Numerical Generation of Minimum
Functions via the Parametric Approach 317 7.1 Introduction 317 7.2 Generation
of Positive Real Functions via the Parametric Approach using MATLAB318 7.3
Major Polynomial Operations in MATLAB321 7.4 Algorithm: Computation of
Residues in Bode Form on MATLAB323 7.5 Generation of Minimum Functions from
the Given All-Zero, All-Pole Form of the Real Part 335 7.6 Immittance
Modeling via the Parametric Approach 349 7.7 Direct Approach for Minimum
Immittance Modeling via the Parametric Approach 359 8 Gewertz Procedure to
Generate a Minimum Function from its Even Part: Generation of Minimum
Function in Rational Form 373 8.1 Introduction 373 8.2 Gewertz Procedure 374
8.3 Gewertz Algorithm 377 8.4 MATLABCodes for the Gewertz Algorithm 378 8.5
Comparison of the Bode Method to the Gewertz Procedure 386 8.6 Immittance
Modeling via the Gewertz Procedure 392 9 Description of Power Transfer
Networks via Driving Point Input Immittance: Darlington's Theorem 405 9.1
Introduction 405 9.2 Power Dissipation PL over a Load Impedance ZL 405 9.3
Power Transfer 406 9.4 Maximum Power Transfer Theorem 407 9.5 Transducer
Power Gain for Matching Problems 408 9.6 Formal Definition of a Broadband
Matching Problem 408 9.7 Darlington's Description of Lossless Two-ports 410
9.8 Description of Lossless Two-ports via Z Parameters 423 9.9 Driving Point
Input Impedance of a Lossless Two-port 426 9.10 Proper Selection of Cases to
Construct Lossless Two-ports from the Driving Point Immittance Function 430
9.11 Synthesis of a Compact Pole 435 9.12 Cauer Realization of Lossless
Two-ports 436 10 Design of Power Transfer Networks: A Glimpse of the Analytic
Theory via a Unified Approach 439 10.1 Introduction 439 10.2 Filter or
Insertion Loss Problem from the Viewpoint of Broadband Matching 444 10.3
Construction of Doubly Terminated Lossless Reciprocal Filters 446 10.4
Analytic Solutions to Broadband Matching Problems 447 10.5 Analytic Approach
to Double Matching Problems 453 10.6 Unified Analytic Approach to Design
Broadband Matching Networks 463 10.7 Design of Lumped Element Filters
Employing Chebyshev Functions 464 10.8 Synthesis of Lumped Element Low-Pass
Chebyshev Filter Prototype 474 10.9 Algorithm to Construct Monotone Roll-Off
Chebyshev Filters 477 10.10 Denormalization of the Element Values for
Monotone Roll-off Chebyshev Filters 490 10.11 Transformation from Low-Pass LC
Ladder Filters to Bandpass Ladder Filters 492 10.12 Simple Single Matching
Problems 494 10.13 Simple Double Matching Problems 499 10.14 A Semi-analytic
Approach for Double Matching Problems 500 10.15 Algorithm to Design Idealized
Equalizer Data for Double Matching Problems 500 10.16 General Form of
Monotone Roll-Off Chebyshev Transfer Functions 511 10.17 LC Ladder Solutions
to Matching Problems Using the General Form Chebyshev Transfer Function 517
10.18 Conclusion 526 11 Modern Approaches to Broadband Matching Problems:
Real Frequency Solutions 539 11.1 Introduction 539 11.2 Real Frequency Line
Segment Technique 540 11.3 Real Frequency Direct Computational Technique for
Double Matching Problems 571 11.4 Initialization of RFDT Algorithm 599 11.5
Design of a Matching Equalizer for a Short Monopole Antenna 600 11.6 Design
of a Single Matching Equalizer for the Ultrasonic T1350 Transducer 611 11.7
Simplified Real Frequency Technique (SRFT): 'A Scattering Approach' 616 11.8
Antenna Tuning Using SRFT: Design of a Matching Network for a Helix Antenna
619 11.9 Performance Assessment of Active and Passive Components by Employing
SRFT 634 12 Immittance Data Modeling via Linear Interpolation Techniques: A
Classical Circuit Theory Approach 691 12.1 Introduction 691 12.2
Interpolation of the Given Real Part Data Set 693 12.3 Verification via
SS-ELIP 693 12.4 Verification via PS-EIP 696 12.5 Interpolation of a Given
Foster Data Set Xf (!) 698 12.6 Practical and Numerical Aspects 701 12.7
Estimation of the Minimum Degree n of the Denominator Polynomial D(!2) 702
12.8 Comments on the Error in the Interpolation Process and Proper Selection
of Sample Points 703 12.9 Examples 704 12.10 Conclusion 716 13 Lossless
Two-ports Formed with Mixed Lumped and Distributed Elements: Design of
Matching Networks with Mixed Elements 719 13.1 Introduction 719 13.2
Construction of Low-Pass Ladders with UEs 725 13.3 Application 727 13.4
Conclusion 731 Index 751