When the incidence angle is equal to the angle of refraction

Click For Summary
SUMMARY

The discussion centers on the relationship between the incidence angle and the angle of refraction in optics, specifically using Snell's Law, defined as n1 * sin(a) = n2 * sin(b). When the incidence angle (a) equals the angle of refraction (b), the scenario described leads to the conclusion that both angles can be zero radians, resulting in no refraction occurring. This situation is distinct from the critical angle, which occurs at a specific incidence angle where total internal reflection happens.

PREREQUISITES
  • Understanding of Snell's Law in optics
  • Basic knowledge of angles in radians
  • Familiarity with the concept of critical angle refraction
  • Knowledge of refractive indices (n1 and n2)
NEXT STEPS
  • Study the implications of Snell's Law in various media transitions
  • Explore the concept of critical angle and total internal reflection
  • Investigate practical applications of refraction in optical devices
  • Learn about the mathematical derivation of Snell's Law
USEFUL FOR

Students studying optics, physics educators, and professionals in fields involving optical engineering or photonics.

zade70
Messages
61
Reaction score
0

Homework Statement


When the incidence angle is equal to the angle of refraction?

Homework Equations


sina/sinb=n2/n1

The Attempt at a Solution


I think as a=b => sina=sinb => n1=n2. We should have the same environment? But is that refraction?
 
Physics news on Phys.org
At the interface of two different media, there is a certain angle of incidence where the incident ray just passes straight through. What is this angle?
 
blue_leaf77 said:
At the interface of two different media, there is a certain angle of incidence where the incident ray just passes straight through. What is this angle?
when b= pi/2 rad. It is the limit angle for a. sina=n2/n1
 
zade70 said:
when b= pi/2 rad. It is the limit angle for a. sina=n2/n1
No, that corresponds to critical angle refraction. It very simple, you have Snell's law ##n_1 \sin a = n_2 \sin b##. Try to find a trivial angle ##a=b## which will make the left and right hand side of Snell's law equal irrespective of the refractive indices.
 
blue_leaf77 said:
No, that corresponds to critical angle refraction. It very simple, you have Snell's law ##n_1 \sin a = n_2 \sin b##. Try to find a trivial angle ##a=b## which will make the left and right hand side of Snell's law equal irrespective of the refractive indices.
a=b=0 rad? 0=0
 
Yes.
 
  • Like
Likes   Reactions: zade70

Similar threads

Replies
11
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
962
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
9
Views
1K
  • · Replies 1 ·
Replies
1
Views
1K