What is the threshold for total extinction of light in a given medium?

  • Thread starter Thread starter Tiberius47
  • Start date Start date
  • Tags Tags
    Extinction Light
Click For Summary
SUMMARY

The discussion focuses on determining the threshold for total extinction of light in a medium, specifically air, using the equation I(x) = I0e-kρx. The participant seeks to understand the point at which light intensity becomes imperceptible, noting that total extinction occurs theoretically at infinite density, opacity, or distance. A practical approach suggests using approximations such as I(x) = I0/e or I(x) = I0/e2 to estimate when light is no longer visible. The reference material cited is "Foundations of Astrophysics" by Ryden.

PREREQUISITES
  • Understanding of the exponential decay model in physics
  • Familiarity with the concepts of light intensity and opacity
  • Basic knowledge of astrophysics principles
  • Ability to interpret mathematical equations related to light propagation
NEXT STEPS
  • Research the concept of light extinction coefficients in various media
  • Study the implications of the Beer-Lambert law in optics
  • Explore the relationship between opacity and visibility in atmospheric sciences
  • Investigate numerical methods for solving exponential decay equations
USEFUL FOR

Students in astrophysics, physicists studying light propagation, and researchers focusing on atmospheric optics will benefit from this discussion.

Tiberius47
Messages
5
Reaction score
0

Homework Statement



I am given a distance at which a particular object is just discernible and am asked to find the opacity of the air.

Homework Equations


The Attempt at a Solution

I know that:

I(x)=I0e-kρx

but I don't know at what point you have total extinction. Obviously you would only have zero intensity with the density, opacity, or distance at infinity.

I'm using Foundations of Astrophysics by Ryden and I can't find a reference to what intensity of light is not visible.
 
Last edited by a moderator:
Physics news on Phys.org
A rough approximation might be sufficient. In that case, you can consider something like I(x)=1/e I_0 or I(x)=1/e^2 I_0.
 

Similar threads

  • · Replies 0 ·
Replies
0
Views
2K
  • · Replies 38 ·
2
Replies
38
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
1
Views
2K
Replies
2
Views
2K
  • · Replies 93 ·
4
Replies
93
Views
6K
Replies
1
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K