Electromagnetic Waves 1. Pierre-Noël Favennec

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Table of Contents

      1  Cover

      2  Title Page

      3  Copyright

      4  Preface

      5  1 Maxwell’s Equations 1.1. Maxwell’s equations in a vacuum 1.2. Maxwell equations in material media 1.3. References

      6  2 The Propagation of Optical and Radio Electromagnetic Waves 2.1. Introduction 2.2. Maxwell’s equations 2.3. Solving Maxwell’s equations 2.4. Characteristics of electromagnetic waves 2.5. Propagation modeling 2.6. The propagation of visible and infrared waves in the Earth’s atmosphere 2.7. Conclusion 2.8. Recommendations ITU-R 2.9. References

      7  Appendix 1: Mathematical Formulae A1.1. Trigonometric transformation equations A1.2. Series developments

      8  Appendix 2: Vector Calculations A2.1. Vectors in coordinate systems A2.2. Vector operators A2.3. Integral transform theorems A2.4. Fundamental relations

      9  Appendix 3: Frequency Spectrum A3.1. Introduction A3.2. The different frequency ranges

      10  Appendix 4: The Decibel A4.1. Introduction A4.2. Definition A4.3. The different variants A4.4. Decibel operations A4.5. Correlation table A4.6. Particular values

      11  Appendix 5: The International Visibility Code

      12  List of Acronyms and Constants

      13  List of Authors

      14  Index

      15  End User License Agreement

      List of Illustrations

      1 PrefaceFigure P.1. A wave bath envisaged by Michel Urien¹

      2 Chapter 1Figure 1.1. Coulomb forces between two point and fixed charges q₁ and q₂Figure 1.2. Electrostatic field

created by a fixed point charge qFigure 1.3. Circulation of the electrostatic field about a closed contour (C)Figure 1.4. Continuous charge distributionsFigure 1.5. Electrostatic field linesFigure 1.6. Charge q_int at the center O of a sphere with radius rFigure 1.7. a) Electrostatic dipole; b) field lines (in green) and equipotential...Figure 1.8. Current density vector at point MFigure 1.9. Current density vector at point M’Figure 1.10. Portion of a conductor with section s, traversed by a current with ...Figure 1.11. Magnetic field

created by an element with a length

of a circuit...Figure 1.12. Current distribution within volume VFigure 1.13. Circulation of a magnetic field on a contour (C)Figure 1.14. Magnetic dipole composed of a circular coil with magnetic moment MFigure 1.15. Analogy a) electric dipole; b) magnetic dipoleFigure 1.16. a) Magnet far from the coil axis: an electric current occurs; b) ma...Figure 1.17. a) Portion AC of a conductor in motion in a magnetic field; b) elec...Figure 1.18. Area swept by a section AC of the filiform conductor in motionFigure 1.19. Conductors in equilibriumFigure 1.20. Electrostatic field surrounding a flat charged surfaceFigure 1.21. Conductors in equilibriumFigure 1.22. Sources (S) of charges and currentsFigure 1.23. Surface S surrounding volume V containing charge carriersFigure 1.24. Electric and magnetic fields perpendicular and orthogonal to the pr...Figure 1.25. Perfect metal arranged vertically on the propagation axis of a mono...Figure 1.26. Structure of an electromagnetic stationary waveFigure 1.27. Most likely arrangement