Thin Impedance Vibrators (eBook)

Preface 8
Contents 12
Chapter 1: General Questions of the Theory of Impedance Vibrators in the Spatial-Frequency Representation 16
1.1 Problem Formulation and Initial Integral Equations 16
1.2 Green´s Function as the Kernel of Integral Equations 19
1.3 Integral Equations for a Current on Thin Impedance Vibrators 22
1.4 Approximate Analytical Methods for the Solution of Integral Equations 24
1.4.1 Series Expansion Technique 25
1.4.2 Successive Iterations Method 28
1.5 Averaging Method 30
References 34
Chapter 2: Radiation of Electromagnetic Waves by Impedance Vibrators in Free Space and Material Medium 35
2.1 Asymptotic Solution of Integral Equations for Vibrator Current in Free Space 35
2.2 Vibrator Excitation in the Center by Concentrated EMF 38
2.2.1 Impedance Vibrator with Lumped Load in the Center 51
2.2.2 Surface Impedance of Thin Vibrators 52
2.2.3 Resonant Properties of Impedance Vibrators in Free Space 55
2.3 Impedance Vibrators in an Infinite Homogeneous Lossy Medium 58
2.4 Radiation Fields of Impedance Vibrators in Infinite Medium 61
References 70
Chapter 3: Radiation of Electromagnetic Waves by Impedance Vibrators in Material Medium over a Perfectly Conducting Plane 71
3.1 Horizontal Impedance Vibrator in a Semi-infinite Material Medium 72
3.2 Systems of Crossed Impedance Vibrators in a Semi-infinite Material Medium 81
3.2.1 Comparison of Numeric Calculations Obtained by Analytical Solution and the Finite Elements Method 95
3.3 Formation of the Radiation Field with Specified Spatial-Polarization Characteristics by a System of Crossed Impedance Vibrators 99
References 104
Chapter 4: Electromagnetic Waves Scattering by Irregular Impedance Vibrators in Free Space 106
4.1 Impedance Vibrators with Variable Radius 106
4.2 Vibrators with Variable Surface Impedance 113
4.2.1 Solution of the Equation for Current by the Averaging Method 113
4.2.2 Solution of the Equation for Current by the Induced EMF Method 115
4.2.3 Choice of the Approximating Functions for the Vibrator Current 121
References 124
Chapter 5: Generalized Method of Induced EMF for Investigation of the Characteristics of Impedance Vibrators 126
5.1 Problem Formulation and Solution 126
5.2 Impedance Vibrators with Arbitrary Excitation Point 129
5.3 Vibrator with Symmetric and Antisymmetric Components of Surface Impedance in Free Space 146
5.4 System of Impedance Vibrators in Free Space 151
References 167
Chapter 6: Radiation of Electromagnetic Waves by Radial Impedance Vibrators on a Perfectly Conducting Sphere 168
6.1 Problem Formulation and Initial Integral Equations 169
6.2 Solution of the Equation for Current by the Successive Iterations Method 170
6.3 Radiation Fields of the Radial Impedance Vibrator on a Perfectly Conducting Sphere 175
6.4 Numerical Results 177
References 180
Chapter 7: Electromagnetic Waves Scattering by Impedance Vibrators in a Rectangular Waveguide 181
7.1 Vibrators with Constant Surface Impedance in Single-Mode and Below-Cutoff Rectangular Waveguides 181
7.1.1 Problem Formulation and Solution by the Averaging Method 181
7.1.2 Current Distribution and Scattering Fields of Impedance Vibrators in a Waveguide 183
7.1.3 Resonant Properties of Impedance Vibrators in Single-Mode and Below-Cutoff Waveguides 189
7.2 Vibrators with Variable Surface Impedance in a Rectangular Waveguide 196
7.2.1 Problem Formulation and Solution by the Method of Induced EMF 197
7.2.2 Numerical Results 200
7.3 Impedance Vibrators of Variable Radius in a Rectangular Waveguide 200
7.3.1 Problem Formulation and Solution by the Method of Induced EMF 204
7.3.2 Numerical Results 206
7.4 Original Aspects of Experimental Investigations 207
References 210
Conclusion 211
Appendix A 212
Electric Dyadic Green´s Functions of the Considered Electrodynamic Volumes 212
Appendix B 216
Basics of the Method of Moments 216
Appendix C 220
Generalized Integral Functions 220
Appendix D 224
Series Summation in the Function of the Self-Field of a Vibrator in a Rectangular Waveguide 224
Appendix E 228
Electromagnetic Values in the CGS and SI Systems of Units 228
Index 231