Light Intensity: Is it Decreasing at 1/r2?

In summary, the intensity of light decreases in proportion to 1/r2 as the distance from the source increases, with the caveat that this is only an approximation for real sources of light due to diffraction. This applies to all light, including lasers, but only becomes a good approximation after several hundred meters. This also assumes that there are no other elements in the path, such as absorption or lenses.
  • #1
hiltac
24
0
Hello,
If we consider a source of light (in a point x), is it wright to say that the intensity decreases in 1/r2 ?

Thank you !
 
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  • #2
If r is the distance to point x, it is right. Note that there are no exactly point-like sources of light, so for real sources this is only an approximation.
 
  • #3
Does this apply to any light? Including, say, a laser?
 
  • #4
Very far away from the source, yes, as you are always limited by diffraction. For a laser pointer (or all visible light lasers with a similar beam diameter), it becomes a good approximation after several hundred meters.

This assumes no absorption or other elements (like lenses) in the path, of course.
 
  • #5


Yes, it is correct to say that the intensity of light decreases in 1/r2 as distance from the source increases. This is known as the inverse square law and is a fundamental principle in physics. It states that the intensity of light, or any type of radiation, decreases in proportion to the square of the distance from the source. This means that if you double the distance from the source, the intensity decreases by a factor of four. This law applies to many natural phenomena, such as the brightness of stars and the strength of gravitational and electric fields.
 

1. What is light intensity?

Light intensity refers to the amount of light energy that is received per unit area. It is typically measured in watts per square meter (W/m2).

2. Why does light intensity decrease at 1/r2?

This is due to the inverse square law, which states that the intensity of light decreases in proportion to the square of the distance from the source. This means that as the distance from the light source increases, the intensity of light decreases exponentially.

3. Is light intensity decreasing at a constant rate?

Yes, according to the inverse square law, light intensity will decrease at a constant rate of 1/r2. This means that for every doubling of the distance from the light source, the intensity will decrease by a factor of four.

4. How does this affect the brightness of objects?

The decrease in light intensity at 1/r2 has a significant impact on the brightness of objects. As the distance from the light source increases, the perceived brightness of objects will decrease. This is why objects appear dimmer or less illuminated when they are further away from a light source.

5. Does light intensity decrease in a vacuum?

Yes, light intensity follows the inverse square law even in a vacuum. This is because the decrease in light intensity is a result of the spreading out of light waves as they travel through space, rather than any interaction with the medium through which they are traveling.

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