Foundations of Antenna Radiation Theory: Eigenmode Analysis

ISBN-13: 9781394170852 / Angielski / Twarda / 2023 / 400 str.

Geyi

Spis treści

About the Author xiPreface xiii1 Eigenvalue Theory 11.1 Maxwell Equations 31.1.1 Wave Equations 31.1.2 Properties of Electromagnetic Fields 61.1.2.1 Superposition Theorem 71.1.2.2 Conservation of Electromagnetic Field Energy 71.1.2.3 Equivalence Theorem 121.1.2.4 Reciprocity 131.2 Methods for Partial Differential Equations 141.2.1 Method of Separation of Variables 141.2.1.1 Rectangular Coordinate System 151.2.1.2 Cylindrical Coordinate System 161.2.1.3 Spherical Coordinate System 191.2.2 Method of Green's Function 211.2.2.1 Green's Functions for Helmholtz Equation 221.2.2.2 Dyadic Green's Functions and Integral Representations 241.2.3 Variational Method 271.3 Eigenvalue Problem for Hermitian Matrix 291.3.1 Properties 291.3.2 Rayleigh Quotient 301.4 Eigenvalue Problems for the Laplace Operator on Scalar Field 321.4.1 Rayleigh Quotient 321.4.2 Properties of Eigenvalues 361.4.3 Completeness of Eigenfunctions 381.4.4 Differential Equations with Variable Coefficients 391.4.5 Green's Function and Spectral Representation 411.5 Eigenvalue Problems for the Laplace Operator on Vector Field 441.5.1 Rayleigh Quotient 451.5.2 Completeness of Vector Modal Functions 481.5.3 Classification of Vector Modal Functions 541.6 Ritz Method for the Solution of Eigenvalue Problem 551.7 Helmholtz Theorems 571.7.1 Helmholtz Theorem for the Field in Infinite Space 571.7.2 Helmholtz Theorem for the Field in Finite Region 591.7.3 Helmholtz Theorem for Time-Dependent Field 601.8 Curl Operator 611.8.1 Eigenfunctions of Curl Operator 621.8.2 Plane-Wave Expansions for the Fields and Dyadic Green's Functions 64References 662 Radiation in Waveguide 692.1 Vector Modal Functions for Waveguide 702.1.1 Classification of Vector Modal Functions 712.1.2 Vector Modal Functions for Typical Waveguides 752.1.2.1 Rectangular Waveguide 752.1.2.2 Circular Waveguide 762.1.2.3 Coaxial Waveguide 772.2 Radiated Fields in Waveguide 792.2.1 Modal Expansions for the Fields and Dyadic Green's Functions 792.2.2 Dyadic Green's Functions for Semi-infinite Waveguide 912.3 Waveguide Discontinuities 922.3.1 Excitation of Waveguide 922.3.2 Conducting Obstacles in Waveguide 952.3.3 Coupling by Small Aperture 972.4 Transient Fields in Waveguide 102References 1073 Radiation in Cavity Resonator 1093.1 Radiated Fields in Cavity Resonator 1103.1.1 Classification of Vector Modal Functions for Cavity Resonator 1113.1.2 Modal Expansions for the Fields and Dyadic Green's Functions 1143.2 Cavity with Openings 1173.2.1 Cavity with One Port 1183.2.2 Cavity with Two Ports 1203.3 Waveguide Cavity Resonator 1253.3.1 Field Expansions by Vector Modal Functions of Waveguide 1253.3.2 Modal Representations of Dyadic Green's Functions 1333.4 Vector Modal Functions for Typical Waveguide Cavity Resonators 1363.4.1 Rectangular Waveguide Cavity 1363.4.2 Circular Waveguide Cavity 1373.4.3 Coaxial Waveguide Cavity 1393.5 Radiation in Waveguide Revisited 1403.6 Transient Fields in Cavity Resonator 141References 1494 Radiation in Free Space (I): Generic Properties 1514.1 Antenna Parameters 1524.1.1 Power, Efficiencies, and Input Impedance 1524.1.2 Field Regions, Radiation Pattern, Radiation Intensity, Directivity, and Gain 1554.1.3 Vector Effective Length, Equivalent Area, and Antenna Factor 1584.1.4 Antenna Quality Factor 1634.2 Theory of Spherical Waveguide 1634.2.1 Vector Modal Functions for Spherical Waveguide 1644.2.2 Modal Expansions of Fields and Dyadic Green's Functions 1684.2.3 Properties of Spherical Vector Wave Functions 1804.2.4 Far-Zone Fields 1814.3 Stored Field Energies and Radiation Quality Factor 1824.3.1 Stored Field Energies in General Materials 1844.3.2 Stored Field Energies of Antenna 1944.3.3 Radiated Field Energy 1994.3.4 Evaluation of Radiation Quality Factor 2024.4 Modal Quality Factors 2064.4.1 Stored Field Energies Outside the Circumscribing Sphere of Antenna 2064.4.2 Two Inequalities for Spherical Hankel Functions 2104.4.3 Properties of Modal Quality Factors 2124.4.3.1 Proof of Properties 2, 4, and 7 2134.4.3.2 Proof of Properties 1, 3, 6, 8, and 9 2154.4.3.3 Proof of Property 5 2164.4.3.4 Proof of Properties 10 and 11 2174.4.4 Lower Bound for Antenna Quality Factor 2184.5 Upper Bounds for the Products of Gain and Bandwidth 2204.5.1 Directive Antenna 2214.5.2 OmniDirectional Antenna 2244.5.3 Best Possible Antenna Performance-Guidelines for Small Antenna Design 2264.6 Expansions of the Radiated Fields in Time Domain 230References 2385 Radiation in Free Space (II): Modal Analysis 2435.1 Basic Antenna Types 2455.2 Equivalent Current Distributions of Antenna 2465.3 Antenna as a Waveguide Junction 2495.4 Integral Equation Formulations 2505.4.1 Compensation Theorem for Time-Harmonic Fields 2515.4.2 Integral Equations for Composite Structure 2525.4.3 Integral Equation for Wire Antenna 2545.5 Vertical Dipole 2575.5.1 Fields in the Region r > b 2585.5.2 Fields in the Region r5.6 Horizontal Dipole 2615.6.1 Fields in the Region r > b 2625.6.2 Fields in the Region r5.7 Loop 2675.8 Spherical Dipole 2695.9 Dipole Near Conducting Sphere 2715.10 Finite Length Wire Antenna 2735.10.1 Fields in the Region r > l 2735.10.2 The Fields in the Region r5.11 Aperture Antenna 2765.12 Microstrip Patch Antenna 2805.13 Resonant Modal Theory for Antenna Design 2905.13.1 Formulations 2915.13.2 Applications 2935.13.2.1 Crossed-Dipole 2935.13.2.2 Dual-Band Bowtie Antenna 297References 3016 Radiation in Free Space (III): Array Analysis and Synthesis 3036.1 Introduction to Array Analysis 3056.1.1 Array Factor 3056.1.2 Linear Array 3076.1.2.1 Linear Array with Uniform Amplitude 3076.1.2.2 Linear Array with Nonuniform Amplitude 3116.1.3 Circular Array 3146.1.4 Planar Array 3166.2 Introduction to Array Synthesis with Conventional Methods 3186.2.1 Array Factor and Space Factor for Line Source 3186.2.2 Schelkunoff Unit Circle Method 3206.2.3 Dolph-Chebyshev Method 3236.2.4 Fourier Transform Method 3276.2.4.1 Continuous Line Source 3276.2.4.2 Linear Array 3296.3 Power Transmission Between Two Antennas 3306.3.1 The General Power Transmission Formula 3316.3.2 Power Transmission Between Two Planar Apertures 3356.3.3 Power Transmission Between Two Antennas with Large Separation 3416.4 Synthesis of Arrays with MMPTE 3436.4.1 Power Transmission Between Two Antenna Arrays 3446.4.1.1 Unconstrained Optimization 3466.4.1.2 Weighted Optimization 3466.4.1.3 Constrained Optimization 3476.4.2 Applications 3496.5 Synthesis of Arrays with EMMPTE 3696.5.1 Arrays with Specified Energy Distribution 3706.5.2 Arrays with Specified Power Distribution 3726.5.3 Applications 373References 376Appendix A Vector Analysis 381Appendix B Dyadic Analysis 383Appendix C SI Unit System 385Appendix D Unified Theory for Fields (UTF) 387Index 417

O autorze

Professor Wen Geyi is a Fellow of the IEEE. He has published very widely on theories of microwaves and antennas. He has authored four books and over 100 journal publications and holds more than 40 patents.