Hertzian dipole generating EM Waves.

Click For Summary
SUMMARY

The discussion centers on deriving the electric (E) and magnetic (B) fields from the vector potential (A) and scalar potential (φ) of a Hertzian dipole. The user notes that only the theta component of the E field is present, involving parameters such as angular frequency (ω), current (I0), and sine functions related to the retarded time. A suggestion is made to utilize the curl of the vector potential to obtain the magnetic field. The reference provided is a link to a relevant chapter on electromagnetic waves.

PREREQUISITES
  • Understanding of vector potential (A) and scalar potential (φ) in electromagnetism
  • Familiarity with Maxwell's equations
  • Knowledge of the curl operation in vector calculus
  • Basic concepts of electromagnetic wave propagation
NEXT STEPS
  • Study the derivation of electric and magnetic fields from potentials in electromagnetic theory
  • Learn about the application of curl in vector calculus, specifically in the context of electromagnetic fields
  • Review the chapter on electromagnetic waves from the provided link: http://www.ece.rutgers.edu/~orfanidi/ewa/ch15.pdf
  • Explore the concept of retarded time in wave propagation and its mathematical implications
USEFUL FOR

Students and professionals in electrical engineering, physicists studying electromagnetism, and anyone involved in the analysis of electromagnetic wave generation and propagation.

polystethylene
Messages
17
Reaction score
0
Hi, in my notes for the Hertzian Dipole I have a derivation of the vector potential A, and the scalar potential (phi). However, I'm missing the derivation of the E and B fields from these potentials. It seems that only the theta component of the E field exists, and I have ... well, I can't write it out because I don't how to use the webcode to equations... but it has omega, I0 (current), sin(theta), and another sine term, but with an argument that is omega x the retarded time.

Anyone got any clues? Or even an idea of what I'm trying to say? (I realize the question is a little sketchy)
 
Physics news on Phys.org
hi, polystethylene:
Here is something you need: please read the weblink first; if you still have problem, please contact me! :smile:http://www.ece.rutgers.edu/~orfanidi/ewa/ch15.pdf"
 
Last edited by a moderator:
If you've got the vector potential, take the curl to get the magnetic field? I don't see where the problem is.
 

Similar threads

Graduate Origin of Hertzian dipole radiation
  • · Replies 21 ·
Replies
21
Views
2K
Graduate Are EM waves reflected by inducing Hertzian dipoles?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Two molecules with different polarizability in an EM field
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Understanding the Expression for a Linear EM Wave Transmission?
  • · Replies 2 ·
Replies
2
Views
1K
Graduate EM wave generation using a single charge in a vaccum?
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad Mechanism of Energy Conservation in Zero-Amplitude Sum of EM Waveforms
  • · Replies 21 ·
Replies
21
Views
2K
Graduate EM waves, longitudinal EM propagation?
  • · Replies 15 ·
Replies
15
Views
3K
Undergrad Energy emitted by EM sources under constructive interference
  • · Replies 7 ·
Replies
7
Views
1K
Undergrad Energy transfer and conservation cases for pendulum motion and EM wave
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad How Do Time-Varying Currents in Conductors Generate EM Fields and Waves?
  • · Replies 3 ·
Replies
3
Views
2K