Fields and electromagnetic waves

The book discusses the properties of electromagnetic waves, issues of wave propagation in various centers and on the border between two centers. The sources of electromagnetic fields and properties of these fields in phase guides and resonators were considered. Much space was also devoted to the computer analysis of electromagnetic fields. Numerous examples and physical interpretations explain the mathematical equations obtained. The authors tried to make their textbook useful for students of various electronics specialties, studying on the basis of different curricula. It is intended for students of electronics faculties in the fields of electronics and telecommunications.

Table of Contents

PREFACE

LIST OF IMPORTANT MARKINGS

1. INTRODUCTION

1.1. Subject of consideration
1.2. Basic assumptions and limitations of classical field theory
1.3 Maxwell equations
1.4 Selected interpretations of Maxwell's equations
1.5 Types of centers
1.6. Symbolic account in field issues
Works

2. PROPERTIES OF FLAT WAVE

2.1. Wave equations in the ideal dielectric and their solutions
2.2 Flat wave in a lossy dielectric
2.3 Wave polarity
2.4 Waves in low-loss real centers
2.5 Waves in real conductors
Works

3. ENERGY RELATIONSHIPS IN THE ELECTROMAGNETIC FIELD

3.1 Losses in the electromagnetic field
3.2 Energy stored in electric and magnetic fields
3.3. Poynting's theorem in the real form
3.4. Poynting's theorem in complex form
3.5. Tensor properties
Works

4. PROPORTION OF WAVES IN DIFFERENT CENTERS

4.1. Propagation of plane waves in centers with single axis anisotropy
4.2. Waves in a ryrotropic center
4.3. Waves in ionized gas
4.4. Plasma properties in a constant magnetic field
4.5. Phase and group speed
4.6. Waves in heterogeneous media
4.7. Waves in non-linear centers
Works

5. WAVES ON THE BORDER OF TWO CENTERS

5.1 Preliminary remarks
5.2. Boundary conditions for electromagnetic fields
5.3. A flat wave falling perpendicular to the border of two centers
5.4. A flat wave falling diagonally to the border of two centers
5.5. Reflections of waves in real conditions
Works

6. POTENTIALS. SOURCES AND RADIATION OF WAVES

6.1. Admission
6.2. Static scalar potentials
6.3. Magnetic vector potential
6.4. Potentials of variable fields
6.5. Quasi-static approximation of variable field potentials
6.6. Hertz's potential
6.7. Calculation of fields in the vicinity of the Hertz dipole
6.8. The basic parameters of antennas
6.9. Systems of dipole antennas
Works

7. WATER WAVES IN WAVANT GUIDES

7.1. Introductory remarks. Types of waves
7.2. Bringing Maxwell's equations to the two-dimensional LapIace equation
7.3. Methods for solving the Laplace equation (Dirichlet's problem)
7.4. Perimeter parameters of the TEM line
7.5. TEM lines with lossy wires
7.6. TEM lines with heterogeneous dielectrics
7.7. The most frequently used TEM lines and their properties
Works

8. ELECTROMAGNETIC WAVES IN THE VALVES

8.1. General wave properties in waveguides with conductive walls
8.2. Examples of waveguides with conductive walls
8.3. Losses in waveguides with conductive walls
8.4. Heterogeneities in waveguides. Replacement diagrams
8.5. Other types of waveguides
Works

9. FIELDS IN RESONATORS

9.1. Admission
9.2. General properties of fields in resonators
9.3. The claim of perturbation
9.4. Vibrations forced in the resonator
9.5. Resonator replacement schemes
9.6. The most commonly used types of resonators
9.7. Other types of resonators
Works

10. SELECTED GENERAL PROPERTIES OF ELECTROMAGNETIC FIELDS

10.1. Unambiguity of solutions of Maxwell's equations
10.2. Equivalence of Maxwell's equations solutions
10.3. Reflection method
10.4. Duality of Maxwell's equation solutions
10.5. Babinet's rule
10.6. Lorentz's theorem on reciprocity
10.7. General classification of boundary problems
10.8. Green functions
Works

11. COMPUTER ELECTROMAGNETIC ANALYSIS

SHORT PROBLEMS

11.1. Finite difference method
11.2. Moment method and finite element method
11.3. Methods that use the Green function
11.4. Comparison of the presented methods and ranges of their applications

Appendix l System of MKSA units
Appendix 2 Curved coordinates
Appendix 3 Selected vector analysis relationships
Appendix 4 Properties of the Bessel function
Appendix 5 Fields in rectangular and circular waveguides

TASK SOLUTIONS

LITERATURE

INDEX