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Published in:
Potential and Current Density Distribution Read chapter Read first chapter

2020 | OriginalPaper | Chapter

5. Wave Propagation

Author : Jürgen Donnevert

Published in: Maxwell´s Equations

Publisher: Springer Fachmedien Wiesbaden

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Abstract

The propagation in free space is determined by the type of excitation by the transmitter and its transmitting antenna. In chapter 5 of this book the solutions of Maxwell’s equations are discussed in detail. For simplicity, the wave propagation in free space was chosen with wave excitation by a Hertzian dipole. The formulas for calculating the near field and the far field are derived and the energy flux in these field areas are calculated. The procedure for calculating the field lines is given. Finally, the essential characteristic values of antennas are derived.

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previous chapter Time-Varying Electric and Magnetic Fields
next chapter Appendix: Verification of the Calculation Rules for Vector Analysis
Footnotes
1
[6, p. 507 ff.].
 
2
The wavelength \( \lambda \) is the distance by which a phase state (e.g., a maximum or a zero crossing) of a wave progresses or propagates within a period of time \( {T} \) (see Fig. 4.​19).
\( {\text{T}} = 1/{\text{f}} \), f = frequency, \( {\text{f}} = \frac{\omega }{{\left( {2 \cdot \pi } \right)}} , \,{\text{ i}}.{\text{e}}.,\;\omega = 2 \cdot \pi \cdot {\text{f}}, \) \( \omega = {\text{angular}}\;{\text{frequency}} \),
 
3
Why \( \sqrt {\frac{{\mu_{0} }}{{\varepsilon_{0} }}} \) is referred to as field impedance is explained in Sect. 5.1.2.
 
4
Corresponding to (5.16) \( \underline{H}_{0} \left( t \right) = \pi \cdot \underline{I} \cdot l/\lambda^{2} \).
 
5
Integral tables, e.g., in [7].
 
6
or receiving cross section
 
Metadata
Title
Wave Propagation
Author
Jürgen Donnevert
Copyright Year
2020
Book
Maxwell´s Equations

Print ISBN: 978-3-658-29375-8

Electronic ISBN: 978-3-658-29376-5

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-658-29376-5_5