Nesterenko / Katrich / Penkin Thin Impedance Vibrators

Theory and Applications
1. Auflage 2011
ISBN: 978-1-4419-7850-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 95, 107 Seiten

Reihe: Lecture Notes in Electrical Engineering

The book is devoted to exploring the foundations of the theory of thin impedance vibrator antennas. The text provides a continuation of the classic theory of thin perfectly conducting vibrators. Many consider impedance conception one of the most universal models in the theory of wave processes, as it informs such a wide spectrum of uses in solving practical problems of electrodynamics. This topic provides an opportunity to further search analytical solutions, allowing a simplification of the mathematical formulation of the boundary problem. The theory strives to widen the boundaries of the impedance vibrator antennas application in complex modern radio-and-electronic systems and devices. The results of much original research conducted by the authors will be useful for practicing engineers and designers of antenna and waveguide systems. The book is written in an academic style, and can be used to teach students and post graduates about radiotechnical and radiophysical specialities. The conclusion of the book lists many actual applied problems, which can provide inspiration for several potential PhD projects. Topics covered in this book are: •general questions of the theory of impedance vibrators in the spatial-frequency representation •electromagnetic waves radiation by impedance vibrators in free space and material mediums •electromagnetic waves radiation by impedance vibrators in material mediums over the perfectly conducting plane •electromagnetic waves scattering by irregular impedance vibrators in free space •generalized method of induced electromotive forces for investigation of the characteristics of impedance vibrators •radiation of electromagnetic waves by radial impedance vibrators on the perfectly conducting sphere •electromagnetic waves scattering by impedance vibrators in the rectangular waveguide

Autoren/Hrsg.

Nesterenko, Mikhail V.

Katrich, Victor A.

Penkin, Yuriy M.

Dakhov, Victor M.

Berdnik, Sergey L.

Inhaltsverzeichnis

1;Preface;8
2;Contents;12
3;Chapter 1: General Questions of the Theory of Impedance Vibrators in the Spatial-Frequency Representation;16
3.1;1.1 Problem Formulation and Initial Integral Equations;16
3.2;1.2 Green´s Function as the Kernel of Integral Equations;19
3.3;1.3 Integral Equations for a Current on Thin Impedance Vibrators;22
3.4;1.4 Approximate Analytical Methods for the Solution of Integral Equations;24
3.4.1;1.4.1 Series Expansion Technique;25
3.4.2;1.4.2 Successive Iterations Method;28
3.5;1.5 Averaging Method;30
3.6;References;34
4;Chapter 2: Radiation of Electromagnetic Waves by Impedance Vibrators in Free Space and Material Medium;35
4.1;2.1 Asymptotic Solution of Integral Equations for Vibrator Current in Free Space;35
4.2;2.2 Vibrator Excitation in the Center by Concentrated EMF;38
4.2.1;2.2.1 Impedance Vibrator with Lumped Load in the Center;51
4.2.2;2.2.2 Surface Impedance of Thin Vibrators;52
4.2.3;2.2.3 Resonant Properties of Impedance Vibrators in Free Space;55
4.3;2.3 Impedance Vibrators in an Infinite Homogeneous Lossy Medium;58
4.4;2.4 Radiation Fields of Impedance Vibrators in Infinite Medium;61
4.5;References;70
5;Chapter 3: Radiation of Electromagnetic Waves by Impedance Vibrators in Material Medium over a Perfectly Conducting Plane;71
5.1;3.1 Horizontal Impedance Vibrator in a Semi-infinite Material Medium;72
5.2;3.2 Systems of Crossed Impedance Vibrators in a Semi-infinite Material Medium;81
5.2.1;3.2.1 Comparison of Numeric Calculations Obtained by Analytical Solution and the Finite Elements Method;95
5.3;3.3 Formation of the Radiation Field with Specified Spatial-Polarization Characteristics by a System of Crossed Impedance Vibrators;99
5.4;References;104
6;Chapter 4: Electromagnetic Waves Scattering by Irregular Impedance Vibrators in Free Space;106
6.1;4.1 Impedance Vibrators with Variable Radius;106
6.2;4.2 Vibrators with Variable Surface Impedance;113
6.2.1;4.2.1 Solution of the Equation for Current by the Averaging Method;113
6.2.2;4.2.2 Solution of the Equation for Current by the Induced EMF Method;115
6.2.3;4.2.3 Choice of the Approximating Functions for the Vibrator Current;121
6.3;References;124
7;Chapter 5: Generalized Method of Induced EMF for Investigation of the Characteristics of Impedance Vibrators;126
7.1;5.1 Problem Formulation and Solution;126
7.2;5.2 Impedance Vibrators with Arbitrary Excitation Point;129
7.3;5.3 Vibrator with Symmetric and Antisymmetric Components of Surface Impedance in Free Space;146
7.4;5.4 System of Impedance Vibrators in Free Space;151
7.5;References;167
8;Chapter 6: Radiation of Electromagnetic Waves by Radial Impedance Vibrators on a Perfectly Conducting Sphere;168
8.1;6.1 Problem Formulation and Initial Integral Equations;169
8.2;6.2 Solution of the Equation for Current by the Successive Iterations Method;170
8.3;6.3 Radiation Fields of the Radial Impedance Vibrator on a Perfectly Conducting Sphere;175
8.4;6.4 Numerical Results;177
8.5;References;180
9;Chapter 7: Electromagnetic Waves Scattering by Impedance Vibrators in a Rectangular Waveguide;181
9.1;7.1 Vibrators with Constant Surface Impedance in Single-Mode and Below-Cutoff Rectangular Waveguides;181
9.1.1;7.1.1 Problem Formulation and Solution by the Averaging Method;181
9.1.2;7.1.2 Current Distribution and Scattering Fields of Impedance Vibrators in a Waveguide;183
9.1.3;7.1.3 Resonant Properties of Impedance Vibrators in Single-Mode and Below-Cutoff Waveguides;189
9.2;7.2 Vibrators with Variable Surface Impedance in a Rectangular Waveguide;196
9.2.1;7.2.1 Problem Formulation and Solution by the Method of Induced EMF;197
9.2.2;7.2.2 Numerical Results;200
9.3;7.3 Impedance Vibrators of Variable Radius in a Rectangular Waveguide;200
9.3.1;7.3.1 Problem Formulation and Solution by the Method of Induced EMF;204
9.3.2;7.3.2 Numerical Results;206
9.4;7.4 Original Aspects of Experimental Investigations;207
9.5;References;210
10;Conclusion;211
10.1;Appendix A;212
10.1.1;Electric Dyadic Green´s Functions of the Considered Electrodynamic Volumes;212
10.2;Appendix B;216
10.2.1;Basics of the Method of Moments;216
10.3;Appendix C;220
10.3.1;Generalized Integral Functions;220
10.4;Appendix D;224
10.4.1;Series Summation in the Function of the Self-Field of a Vibrator in a Rectangular Waveguide;224
10.5;Appendix E;228
10.5.1;Electromagnetic Values in the CGS and SI Systems of Units;228
11;Index;231