Permittivity and Permeability affect propagation velocity?

Click For Summary
SUMMARY

The discussion centers on the relationship between permittivity, permeability, and the speed of electromagnetic wave propagation. It is established that the speed of light in a medium is inversely proportional to the square root of the product of permittivity and permeability, as derived from Maxwell's equations. The phenomenon of light appearing to travel slower in a medium is attributed to the absorption and re-emission of photons, which causes delays in the wavefront. This understanding is supported by authoritative sources and expert insights from Richard Blade, a former Chair of the Physics Department at the University of Colorado at Colorado Springs.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Knowledge of electromagnetic wave theory
  • Familiarity with the concepts of permittivity and permeability
  • Basic grasp of wave propagation in different media
NEXT STEPS
  • Study the derivation of the wave equation from Maxwell's equations
  • Explore the implications of permittivity and permeability in various materials
  • Investigate the phenomenon of refraction and its mathematical representation
  • Review advanced texts on electromagnetic theory for deeper insights
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetic theory will benefit from this discussion, particularly those interested in wave propagation and the effects of material properties on electromagnetic waves.

jmatejka
Messages
126
Reaction score
1
If I understand correctly in refraction, photon absorption and re-emission accounts for light taking "longer" to travel.

Regarding Permeability and Permittivity, the below linked website states:


"permittivity affects the speed of propagation of a wave through a medium"

http://www.antenna-theory.com/definitions/permittivity.php

AND

"permeability also affects the speed of propagation of an electromagnetic wave in a medium"

http://www.antenna-theory.com/definitions/permeability.php



Googling didnt lead me to any supportive information, do the statements make any sense?

Thanks, John
 
Physics news on Phys.org
I am aware of the speed of light, my question is if anything unusual is going on with permittivity and permeability that could account for "apparent" change in velocity, as refraction does.

I also hopefully understand refraction is dealing with the photon and my question pertains to E&M fields.

If you believe the page to be in error please say so, Thanks, John
 
Last edited:
jmatejka said:
I am aware of the speed of light, my question is if anything unusual is going on with permittivity and permeability that could account for "apparent" change in velocity, as refraction does.

If you followed the link, it should be pretty obvious that the speed of propagation is directly related to the product of the quantities in question. If that is not what you are looking for, then I have no idea what you are asking about; you may want to rephrase your question.
 
  • Like
Likes   Reactions: 1 person
If anyone is interested, below is a reply to my question from my friend Richard Blade, former Chair of the Physics Dept, University of Colorado at Colorado Springs:

John-

All the statements you quoted are true. Macrosopically and mathematically, the speed of light in a transparent medium is one over the square root of the product of the permittivity and the permeability. That comes about by deriving the wave equation from Maxwell's equations. From the microscopic view, you can imagine that the incident EM wave is being scattered inside the medium, and that the scattered wave is slightly delayed from the incident wave, thereby making the composite wave front slightly slower (during the period of absorption and re-emission) than the incident wave front. The math, although looking quite different, predicts exactly the same reduction in speed as the macroscopic.

Richard

This seems to be an elaboration to what was stated above by Voko. Thanks, Regards, John
 

Similar threads

  • · Replies 15 ·
Replies
15
Views
5K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 15 ·
Replies
15
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
6K
  • · Replies 12 ·
Replies
12
Views
11K
  • · Replies 1 ·
Replies
1
Views
2K