: Mikhail V. Nesterenko, Victor A. Katrich, Yuriy M. Penkin, Victor M. Dakhov, Sergey L. Berdnik
: Thin Impedance Vibrators Theory and Applications
: Springer-Verlag
: 9781441978509
: 1
: CHF 85.60
:
: Elektronik, Elektrotechnik, Nachrichtentechnik
: English
: 107
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF
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•electroma netic 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
Preface8
Contents12
Chapter 1: General Questions of the Theory of Impedance Vibrators in the Spatial-Frequency Representation16
1.1 Problem Formulation and Initial Integral Equations16
1.2 Green´s Function as the Kernel of Integral Equations19
1.3 Integral Equations for a Current on Thin Impedance Vibrators22
1.4 Approximate Analytical Methods for the Solution of Integral Equations24
1.4.1 Series Expansion Technique25
1.4.2 Successive Iterations Method28
1.5 Averaging Method30
References34
Chapter 2: Radiation of Electromagnetic Waves by Impedance Vibrators in Free Space and Material Medium35
2.1 Asymptotic Solution of Integral Equations for Vibrator Current in Free Space35
2.2 Vibrator Excitation in the Center by Concentrated EMF38
2.2.1 Impedance Vibrator with Lumped Load in the Center51
2.2.2 Surface Impedance of Thin Vibrators52
2.2.3 Resonant Properties of Impedance Vibrators in Free Space55
2.3 Impedance Vibrators in an Infinite Homogeneous Lossy Medium58
2.4 Radiation Fields of Impedance Vibrators in Infinite Medium61
References70
Chapter 3: Radiation of Electromagnetic Waves by Impedance Vibrators in Material Medium over a Perfectly Conducting Plane71
3.1 Horizontal Impedance Vibrator in a Semi-infinite Material Medium72
3.2 Systems of Crossed Impedance Vibrators in a Semi-infinite Material Medium81
3.2.1 Comparison of Numeric Calculations Obtained by Analytical Solution and the Finite Elements Method95
3.3 Formation of the Radiation Field with Specified Spatial-Polarization Characteristics by a System of Crossed Impedance Vibrators99
References104
Chapter 4: Electromagnetic Waves Scattering by Irregular Impedance Vibrators in Free Space106
4.1 Impedance Vibrators with Variable Radius106
4.2 Vibrators with Variable Surface Impedance113
4.2.1 Solution of the Equation for Current by the Averaging Method113
4.2.2 Solution of the Equation for Current by the Induced EMF Method115
4.2.3 Choice of the Approximating Functions for the Vibrator Current121
References124
Chapter 5: Generalized Method of Induced EMF for Investigation of the Characteristics of Impedance Vibrators126
5.1 Problem Formulation and Solution126
5.2 Impedance Vibrators with Arbitrary Excitation Point129
5.3 Vibrator with Symmetric and Antisymmetric Components of Surface Impedance in Free Space146
5.4 System of Impedance Vibrators in Free Space151
References167
Chapter 6: Radiation of Electromagnetic Waves by Radial Impedance Vibrators on a Perfectly Conducting Sphere168
6.1 Problem Formulation and Initial Integral Equations169
6.2 Solution of the Equation for Current by the Successive Iterations Method170
6.3 Radiation Fields of the Radial Impedance Vibrator on a Perfectly Conducting Sphere175
6.4 Numerical Results177
References180
Chapter 7: Electromagnetic Waves Scattering by Impedance Vibrators in a Rectangular Waveguide181
7.1 Vibrators with Constant Surface Impedance in Single-Mode and Below-Cutoff Rectangular Waveguides181
7.1.1 Problem Formulation and Solution by the Averaging Method181
7.1.2 Current Distribution and Scattering Fields of Impedance Vibrators in a Waveguide183
7.1.3 Resonant Properties of Impedance Vibrators in Single-Mode and Below-Cutoff Waveguides189
7.2 Vibrators with Variable Surface Impedance in a Rectangular Waveguide196
7.2.1 Problem Formulation and Solution by the Method of Induced EMF197
7.2.2 Numerical Results200
7.3 Impedance Vibrators of Variable Radius in a Rectangular Waveguide200
7.3.1 Problem Formulation and Solution by the Method of Induced EMF204
7.3.2 Numerical Results206
7.4 Original Aspects of Experimental Investigations207
References210
Conclusion211
Appendix A212
Electric Dyadic Green´s Functions of the Considered Electrodynamic Volumes212
Appendix B216
Basics of the Method of Moments216
Appendix C220
Generalized Integral Functions220
Appendix D224
Series Summation in the Function of the Self-Field of a Vibrator in a Rectangular Waveguide224
Appendix E228
Electromagnetic Values in the CGS and SI Systems of Units228
Index231