Why Does Dipole Radiation Shift from Radial to Theta Hat Direction?

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SUMMARY

The discussion centers on the behavior of electric dipole radiation, specifically the transition of the electric field from a radial (r hat) direction to a theta hat direction in oscillating dipoles. According to "Intro to Electrodynamics" by David Griffiths, while static electric fields from point charges radiate radially, oscillating dipoles introduce additional components due to changing magnetic fields. This results in a complex electric field that includes theta hat components, indicating that the radiation pattern is highly dependent on the angle relative to the dipole axis.

PREREQUISITES
  • Understanding of electric dipoles and their structure
  • Familiarity with electromagnetic wave propagation
  • Knowledge of vector calculus, particularly spherical coordinates
  • Basic principles of electromagnetic fields as outlined in "Intro to Electrodynamics" by David Griffiths
NEXT STEPS
  • Study the mathematical derivation of electric dipole radiation patterns
  • Learn about the contributions of changing magnetic fields to electric fields in oscillating systems
  • Explore the concept of transverse waves and their properties in electromagnetic theory
  • Investigate the implications of dipole radiation in practical applications such as antennas
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Students and professionals in physics, particularly those studying electromagnetism, as well as engineers working with antenna design and electromagnetic wave applications.

AriAstronomer
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Hello everyone,
I'm a bit confused about electric dipole radiation. In my E&M book "Intro to Electrodynamics" by David Griffiths, it states that the electric field from an oscillating dipole is in theta hat direction. Mathematically I have the proof as to why in my book, but conceptually I'm having a hard time picturing everything.
Normally, electric field goes radially in r hat direction. Since it is a transverse wave, I picture it like a hand moving a string up and down, and the wave is perpendicular to the hand motion. I don't picture the electric field moving in circles (do they close in on themselves like magnetic field??) around a dipole. What's causing this change from an r hat direction (pointing away from a charge) to theta hat (perpendicular to a charge)?

Ari
 
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AriAstronomer said:
Normally, electric field goes radially in r hat direction.

That's for a single point charge. Consider a "physical" dipole, which consists of two opposite charges with equal magnitude, separated by a short distance. Even for a static dipole (not oscillating) the net E field is radial only along the dipole axis.

With an oscillating dipole, you also have contributions to the E field that are related to the changing magnetic field.
 
jtbell said:
That's for a single point charge. Consider a "physical" dipole, which consists of two opposite charges with equal magnitude, separated by a short distance. Even for a static dipole (not oscillating) the net E field is radial only along the dipole axis.

With an oscillating dipole, you also have contributions to the E field that are related to the changing magnetic field.

In other words, the static electric field of a dipole does not go around in a circle. It as a theta-hat component, but it has r-hat and phi-hat components as well.
 
But it still radiates in the r hat direction doesn't it? I mean the fact that it reaches you from some distant point means it must have an r hat component, but I guess the point is that it's highly theta dependent?
 
AriAstronomer said:
But it still radiates in the r hat direction doesn't it? I mean the fact that it reaches you from some distant point means it must have an r hat component, but I guess the point is that it's highly theta dependent?

Yes, exactly right.
 

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