Electromagnetic wave (light) propagation

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SUMMARY

Electromagnetic (EM) waves, such as light, propagate through space without the need for a medium, as established by Maxwell's equations. The speed of light is influenced by the permittivity and permeability of the medium, with light traveling at approximately half its speed in a vacuum when passing through materials like diamond. The emission of photons occurs when electrons transition between energy levels, creating a ripple effect similar to disturbances in water. Understanding the electric field as a map of electrostatic forces is crucial for grasping how energy and momentum transfer through EM waves.

PREREQUISITES
  • Maxwell's equations
  • Understanding of electric and magnetic fields
  • Basic concepts of photon emission and electron energy levels
  • Knowledge of permittivity and permeability
NEXT STEPS
  • Study Maxwell's equations in detail
  • Explore the properties of electric and magnetic fields
  • Learn about photon emission and electron transitions
  • Investigate the effects of different materials on light speed
USEFUL FOR

Students of physics, educators, and anyone interested in understanding the fundamental principles of light propagation and electromagnetic theory.

SimpleMinds
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My first posting after joining today so starting off "light" - I know a terrible pun but please be kind as I will ask a lot of basic and seemingly dumb questions from my simple mind in my quest to learn a lot as quickly as I can!

I will try to word this as best I can but, how exactly do EM waves like light actually travel through space? What is driving it forward and radiating outwards and how in the world is it possible it can travel at such an incredible speed?
 
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I think the easiest way to explain it is like a ripple in a pond: When an electron transitions energy levels, the lost energy is emitted as a photon. - think of it like touching the surface of water. The initial disturbance results in a wave that propagates away from the source.
The speed in a water wave depends on things like amplitude and density and so forth, but this is not the case for light.
However, the speed is dependent on permittivity and permeability... I believe in a diamond light travels around half the speed it does in a vacuum.
The Aether theory was popular but has been disproved, so it is believed light does not need a medium.
I can offer equations to model it, but I cannot provide a physical interpretation of why they work.
 
Wave behaviour arises when the second spatial derivative of some quantity (in the case, say an Electric field) is proportional to the second time derivative of the said quantity.

One of the triumphs of Maxwell's equations was to prove this relationship for E and B fields. Not only did this show that EM waves exist, it correctly predicted the velocity of these waves.

From a laymans perspective though, it is helpful to remind yourself what an E-field actually is. It is a "map" of how the electrostatic force affects a one Couloumb charge throughout space. Imagine two spatially separated charges. If you were to wiggle one charge up and down, the other charge would invariably move via Couloumbs Law, causing it to wiggle as well. This transfer of energy and momentum is essentially described by an EM wave.

Claude.
 

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