Exploring the Limits of Snell's Law

In summary, Snell's law states that sinθ = (v2/v1)sinβ. If v2/v1 is greater than 1, then sinβ can be made close to 1, causing sinθ to also be greater than 1 and resulting in total internal reflection. It is important to be consistent with notation when using Snell's law.
  • #1
MHD93
93
0
Hi people..

Snell's law reads sinθ = (v2/v1)sinβ

Suppose that v2/v1 > 1, then we can make sinβ as close to 1 as we like, even close enough to make sinθ>1 as Snell's law states.

So what's wrong?
 
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  • #2
Hi Mohammad_93! :smile:

(try using the X2 button just above the Reply box :wink:)
Mohammad_93 said:
Suppose that v2/v1 > 1, then we can make sinβ as close to 1 as we like, even close enough to make sinθ>1 as Snell's law states.

So what's wrong?

In that case, θ does not exist, and there is total internal reflection. :wink:
 
  • #3
Try to be consistent with your notation.
Snells law is written as
Sinia/Sinib = va/vb
 

1. What is Snell's Law?

Snell's Law, also known as the law of refraction, is a fundamental principle in optics that describes the relationship between the angles of incidence and refraction when a light ray passes through two different mediums.

2. What are the limitations of Snell's Law?

Snell's Law is only applicable to light rays passing through two mediums with a smooth, flat interface. It also assumes that the light rays are traveling in a straight line and that the speed of light is constant in both mediums.

3. How do scientists explore the limits of Snell's Law?

Scientists use advanced experimental techniques and mathematical models to study the behavior of light at different angles of incidence and in various mediums. They also study the effects of introducing irregularities or varying the speed of light in different mediums.

4. What are some practical applications of Snell's Law?

Snell's Law is used in various fields such as optics, medicine, and engineering. It is the basis for the design of lenses, prisms, and other optical devices. It is also used in the production of prescription eyeglasses and in medical procedures such as laser eye surgery.

5. Are there any real-world scenarios where Snell's Law does not apply?

Snell's Law is a simplified model that does not take into account factors such as diffraction, dispersion, and polarization of light. In scenarios where these factors play a significant role, Snell's Law may not accurately predict the behavior of light.

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