Confusion on Source of EM Radiation? (segment Serway)

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SUMMARY

The discussion centers on the confusion surrounding electromagnetic (EM) radiation as described in the textbook by Serway. Participants highlight the contradiction in the text regarding the Poynting vector and the phase relationship between electric (E) and magnetic (B) fields produced by an oscillating dipole antenna. It is clarified that while the near-field regions exhibit non-radiative behavior with a 1/r³ dependence, the far-field regions radiate energy with a 1/r dependence. The consensus is that the text is poorly written, and readers are encouraged to consult engineering textbooks by authors such as Kraus and Balanis for clearer explanations.

PREREQUISITES
  • Understanding of electromagnetic theory, particularly the concepts of electric dipoles and Poynting vectors.
  • Familiarity with the phase relationship between electric and magnetic fields in wave propagation.
  • Knowledge of the near-field and far-field behavior of antennas.
  • Basic principles of Faraday's Law and Ampere-Maxwell Law.
NEXT STEPS
  • Study the Poynting vector in detail to understand energy flow in electromagnetic fields.
  • Learn about the differences between near-field and far-field radiation patterns of antennas.
  • Explore engineering textbooks on electromagnetics, specifically those by Kraus, Harrington, and Balanis.
  • Investigate the implications of phase relationships in electromagnetic wave propagation.
USEFUL FOR

Students of physics, electrical engineers, and anyone seeking a deeper understanding of electromagnetic radiation and antenna theory.

nonequilibrium
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Goodday.

In my introductory course of Physics, we use Serway. I've typed over a little piece from the book that I find quite vague. It is giving an example of (after deducing the plane wave EM equations) EM radiation. It uses the following antenna:

attachment.php?attachmentid=26087&stc=1&d=1275226939.gif


The positive and negative sides are continuously switching due to the AC voltage source in the middle and thus we approximate it with an oscillating electric dipole.

Serway said:
"At the two points where the magnetic field is shown in Figure 34.10, the Poynting
vector S is directed radially outward. This indicates that energy is flowing away from
the antenna at this instant. At later times, the fields and the Poynting vector reverse
direction as the current alternates. Because E and B are 90° out of phase at points
near the dipole, the net energy flow is zero. From this, we might conclude (incorrectly)
that no energy is radiated by the dipole.

However, we find that energy is indeed radiated. Because the dipole fields fall off as
1/r³ (as shown in Example 23.6 for the electric field of a static dipole), they are negligible
at great distances from the antenna. At these great distances, something else
causes
a type of radiation different from that close to the antenna. The source of this
radiation is the continuous induction of an electric field by the time-varying magnetic
field and the induction of a magnetic field by the time-varying electric field, predicted
by Equations 34.3 and 34.4. The electric and magnetic fields produced in this manner
are in phase with each other and vary as 1/r. The result is an outward flow of energy at
all times."

1) So first they use the Poynting vector to argue energy is flowing out, but then they say it's actually not those fields that present the radiation, because they're out of phase.

2) Then they go on to say that at a farther distance, the earlier E and B fields have gone and just the derivates are there, am I right? And they say the changing E-field produces a B-field, much like the law of Faraday and Ampere-Maxwell, but that would mean they are out of phase, wouldn't it? Yet a little further in the text they seem to take it as evident that the E and B are in phase.

3) Also, in the description in bold "at a farther distance, something else...", they seem to imply the radiation itself only originates from a far distance? But the photons actually come from the antenna itself, don't they? It's not that if there is a certain point in space with varying E and B waves, that photons start to shoot out of that point, right?

This section has confused me a bit on the production of EM-waves.

The way they explain it, you would also expect EM-waves going directly up for example, because far (directly) above the antenna, there is also a changing E-field (no matter how weak), but the formula it gives a little bit later ("I ~ sin²(theta)/r²") gives a theoretical zero for theta = 90°...

Is this a bad text or am I completely misinterpreting it? (or both...)

EDIT: A NB that has nothing to do with Serway: and would you expect a uniformly accelerating charge to radiate? The derivate of the E-field is constant...
 

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An antenna is often described as having a set of near-field and far-field behavior. In the regions immediately surrounding the antenna, there is a large concentration of fields. If you were to construct the Poynting vector for these near fields, you woud find that the direction of the Poynting vector is largely inconclusive. That is, the dominant fields in the near-field are non-radiative. For a dipole, these fields have a 1/r^3 dependence (thus you can see that they are dominant for small r). If you move far away from the antenna, then these fields quickly die out (as we would expect since they are non-radiative). What you have left are the radiating portion of the fields from the antenna. For a dipole antenna, these fields drop off as 1/r. So, you can see from the relative r dependence that in the immediate volume surrounding the antenna, the non-radiative fields will be dominant and can hide the radiative nature of the antenna.
 
It's a poorly written book. The diagram is ok.

If you want this very clearly explained, pick up any engineering textbook on electromagnetics by Kraus, Harrington, Balanis, Stratton etc. The units will be MKS but the processes will be elucidated much more clearly than in physics texts albeit from a classical perspective (which is completely sufficient to describe antennas all the way up to millimeter wavelengths and even higher in frequency.)
 

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