Understanding Mirages and Snell's Law for Exam Prep

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SUMMARY

This discussion focuses on understanding Snell's Law and its application in total internal reflection (TIR) and mirages. Total internal reflection occurs when light rays are refracted at an angle greater than the critical angle, preventing them from exiting a medium, such as water. Mirages, particularly those seen in deserts or on hot pavement, result from light bending due to temperature differences in air layers, creating the illusion of water. The participants clarify these concepts with practical examples, enhancing comprehension for exam preparation.

PREREQUISITES
  • Understanding of Snell's Law and its mathematical formulation
  • Knowledge of total internal reflection and its critical angle
  • Familiarity with the concept of refractive index
  • Basic principles of light behavior in different mediums
NEXT STEPS
  • Research the mathematical derivation of Snell's Law
  • Explore detailed examples of total internal reflection in various mediums
  • Study the physics behind mirages, including temperature gradients and light refraction
  • Examine real-world applications of Snell's Law in optics and telecommunications
USEFUL FOR

Students preparing for physics exams, educators teaching optics, and anyone interested in the practical applications of light behavior in different environments.

cheddahchad
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So I have an exam tomorrow, and I'm pretty clear on all the topics. However, I'm having a little trouble with Snell's Law. I understand the majority of it, but a few points are still unclear to me.

1.Total Internal Reflection- I understand the definition (sort of) but I can't picture an example

2. Mirages- I know it deals with total internal reflection but I'm unclear on how it occurs. Two example I would love to have explained are mirages by puddles in the street and mirages in the desert. Can someone help me understand these topics? Thanks!
 
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cheddahchad said:
So I have an exam tomorrow, and I'm pretty clear on all the topics. However, I'm having a little trouble with Snell's Law. I understand the majority of it, but a few points are still unclear to me.

1.Total Internal Reflection- I understand the definition (sort of) but I can't picture an example

2. Mirages- I know it deals with total internal reflection but I'm unclear on how it occurs. Can someone help me understand these topics? Thanks!

A good physical example of TIR is if you are in a pool underwater with a diving mask on -- if you look straight up you can see things above the surface of the water. As you look farther and farther to the side, you still see things above the surface of the water, until you reack the TIR angle, when you start seeing reflections of things under the surface of the water...
 
In easy terms:

total internal reflection is when the ray is refracted so hard it doesn't actually come out at all.

mirage is when warm air bends the light such that it takes a "curved" path and the light appears to be coming from the ground rather than the original object.
 
Thanks berkeman. That cleared up TIR a little bit.

Curl, thanks for the easy terms, but I was looking more as to the whole process. I should've said a mirage like a puddle in the street or a mirage in the desert.
 
cheddahchad said:
Thanks berkeman. That cleared up TIR a little bit.

Curl, thanks for the easy terms, but I was looking more as to the whole process. I should've said a mirage like a puddle in the street or a mirage in the desert.

Does this help?

http://en.wikipedia.org/wiki/Mirage

It is the difference in density of air at the boundary with the hot air layer that gives the reflection (different density give different refractive index).
 

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