How does the inverse square law apply to electromagnetic radiation?

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Discussion Overview

The discussion revolves around the application of the inverse square law to electromagnetic radiation, particularly focusing on light as both waves and photons. Participants explore the implications of this law in different contexts, including classical wave analysis, photon flux density, and probability density at varying distances from a light source.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants question whether the inverse square law applies to electromagnetic radiation when considering photons as particles rather than waves.
  • Others assert that the inverse square law holds for light regardless of whether it is viewed as a wave or a photon, emphasizing its dependence on the area over which power is dissipated.
  • Participants discuss the distinction between energy flux density, photon flux density, and probability density in relation to the inverse square law.
  • There is uncertainty about whether photons are emitted equally in all directions or if there is a random distribution, particularly at very weak light levels.
  • One participant mentions that counting single photons can reveal quantum effects, such as in the double slit experiment.
  • Some participants express confusion about the wave-particle duality of photons, noting that scientific literature often favors the wave model while acknowledging both characteristics.
  • A later reply clarifies that photons are neither classical waves nor particles, but are described by quantum field theory.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of photons or the implications of the inverse square law in different contexts. Multiple competing views remain regarding the interpretation of light as waves or particles and the uniformity of photon emission.

Contextual Notes

Some participants express uncertainty about definitions and mathematical interpretations, particularly regarding probability densities and the implications of distance on photon behavior.

disregardthat
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Does the inverse square law work for electromagnetic radiation?

It should only work if we strictly looks at electromagnetic radiation as 'waves'. But the photon particle isn't a wave, so how would you explain how it works with the photon? I may have misconceptet the photon, but I think that a photon is a particle.
 
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If you're analyzing light as a classical electromagnetic wave, the inverse square law describes the energy flux density: the energy carried by the wave per unit area that it passes through, per second.

If you're analyzing light as a collection of many many photons, the inverse square law describes the photon flux density: the number of photons that pass through a unit area, per second.

If you're analyzing (very weak) light as a collection of a few photons, the inverse square law describes a probability density: the probability that a photon passes through a unit area, per second.
 
I understand, so if we are analalyzing light as a collcetion of many photons, will the amount of photons that are 'shot' out be equal in every direction`?
ehm,
Is there be a randomly selected 'amount' of photons that are shot in each way, just that it seems like they are equal in every direction?

I got a bit of problem of describing my question, I hope you understand. Because if photons are not stricly waves I wonder how they works...

And if we go at an extremely long distance away from the emitting atom, where the probability is 0.1 per square meter. Would this mean that there is 1 photon per tenth meter at average?
 
Jarle said:
I understand, so if we are analalyzing light as a collcetion of many photons, will the amount of photons that are 'shot' out be equal in every direction`?
ehm,
Is there be a randomly selected 'amount' of photons that are shot in each way, just that it seems like they are equal in every direction?

I got a bit of problem of describing my question, I hope you understand. Because if photons are not stricly waves I wonder how they works...

And if we go at an extremely long distance away from the emitting atom, where the probability is 0.1 per square meter. Would this mean that there is 1 photon per tenth meter at average?

You can dim down a light to the point where you are effectively counting single photons. This is how we look at quantum effects in such things as the double slit experiment.

Yes, the formula will represent the probability or frequency of photons at any given point.

(BTW, your numbers are wrong. You divided when you shoulod have multiplied. A probability of 0.1 per square meter works out to one photon for every ten square meters, not tenth of a square metre.)
 
Yeah, I MEANT every ten square meter, I'm just not familiar with the english definition of that..

By the way, does this mean that photons are particles? In my science book it says that it has wave and particle properties, but they went with the wave model... What is the correct one? I understand that this won't have a single answer, but I want to know what makes the scientists uncertain of this.
 
Photons are neither classical waves nor classical particles. They are objects that are fully described only by quantum field theory. They have both wavelike characteristics and particle-like characteristics.
 
Jarle said:
I understand, so if we are analalyzing light as a collcetion of many photons, will the amount of photons that are 'shot' out be equal in every direction`?
ehm,
Is there be a randomly selected 'amount' of photons that are shot in each way, just that it seems like they are equal in every direction?

To make an analogy, it's like when you toss a coin multiple times (or multiple coins at once). You expect equal numbers to come up "heads" and "tails". However, with only a few tosses (or coins), it's very possible for them all to come up "heads." As the number of tosses (or coins) becomes larger, the percentages of "heads" and "tails" both approach 50%.

Similarly, with a light source that radiates "uniformly" in all directions, if it's very very weak, it's possible for the photons to come out more or less bunched in one direction. But if you have bazillions and bazillions of photons, as is the case with everyday light sources, you get very nearly the same number in all directions.
 
Last edited:
Oh, ok. Do you have a link to the explanation?
 
  • #10
Just Google or Wiki "wave-particle duality of light".
 
  • #11
kk, thanks
 
  • #12
I1 x d12=I2 x d22
where:
I=intensity d2=distance per sq. unit

Hope this works for you...that is, if the thread is still active.
 
  • #13
MangoOverlord said:
that is, if the thread is still active.

After nearly three years, well, uh... :rolleyes:
 

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