Snell's law and General Relativity

In summary, Snell's law is a fundamental principle in optics that describes the relationship between the angles of incidence and refraction when light passes through different mediums. It states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is constant. On the other hand, General Relativity is a theory of gravity proposed by Albert Einstein that has been widely accepted as the most accurate description of the way gravity works in our universe. It explains how massive objects warp the fabric of space-time, causing other objects to move along curved paths. Both concepts have had a significant impact on our understanding of light and gravity, and continue to be studied and applied in various fields of science and engineering.
  • #1
avery
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hi

I understand that Snell's law describe the relationship between the angles of incidence and refraction, when referring to light passing different isotropic media.

someone told me that Snell's law describe also the curvature of space time in General Relativity? is that true? if not what are the laws or equations used to describe curvature of space-time?

thank you in advance
 
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  • #2
avery said:
hi

I understand that Snell's law describe the relationship between the angles of incidence and refraction, when referring to light passing different isotropic media.

someone told me that Snell's law describe also the curvature of space time in General Relativity? is that true? if not what are the laws or equations used to describe curvature of space-time?

thank you in advance

It is only an approximate match. In weak fields Snell's law will give the same predictions as GR but it is only to first order.

This page

http://mathpages.com/rr/s8-04/8-04.htm

sums it up well.
 
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  • #3
thank you Mentz114 for your help
 

FAQ: Snell's law and General Relativity

What is Snell's law?

Snell's law is a formula that describes the relationship between the angles of incidence and refraction for a wave passing through a boundary between two different mediums, such as air and water.

How is Snell's law related to General Relativity?

In the context of General Relativity, Snell's law can be used to describe the bending of light as it passes through a gravitational field, such as that of a massive object like a planet or star.

What is the difference between Snell's law in classical physics and General Relativity?

In classical physics, Snell's law assumes that the speed of light is constant in all mediums. In General Relativity, however, the speed of light can vary in the presence of a gravitational field, leading to a more accurate understanding of the bending of light.

Can Snell's law be applied to other types of waves besides light?

Yes, Snell's law can be applied to any type of wave, such as sound or water waves, as long as the medium changes as it passes through a boundary.

How is Snell's law used in practical applications?

Snell's law is used in a variety of practical applications, such as the design of lenses and prisms in optics, the construction of fiber optic cables, and the analysis of seismic and oceanic waves.

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