Reflection and refraction with equal refractive indices?

In summary, the Fresnel equations suggest that when two mediums have the same refractive indices, 100% of radiation will be transmitted. However, in the case of glass cracks, there is often reflection present. This could be due to microscopic vacancies where the index of refraction becomes that of a vacuum or air, which is approximately 1. In practical situations, there may also be some perturbation of the ray at the interface between two crystals with equal properties in near-perfect contact. This could result in a visible boundary between the two crystals. The filling of cracks with gas or a vacuum of a different index of refraction may also contribute to reflection. This can be demonstrated by filling a glass with a crystalline powder and observing its
  • #1
Hypatio
151
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The Fresnel equations indicate that radiation will be 100% transmitted if two mediums have the same refractive indices. If that is true, then whey is there so much reflection off of, for instance, cracks in glass? Is this because there is a microscopic vacancy where the index of refraction becomes that of a vacuum or air, which is ~1?

Similarly, if there are two crystals with equal properties in near-perfect contact, will the boundary between the two be invisible?
 
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  • #2
If you are talking about an ideal situation then there would be no discontinuity - hence no reflection.
If you are talking about a practical situation then you would need to specify the geometry of the interface (spacing / angle etc) but you would expect some perturbation of the ray at the interface.
 
  • #3
I think it is the filling of the cracks with gas or vacuum of other index of refraction. You can demonstrate this by bringing a crystalline powder (sugar, salt or the like) in a glas. It will appear white and not transparent. However, if you fill in a liquid with the same index of refraction as the powder, the powder will appear transparent. In fact, this is used to determine the index of refraction in mineralogy.
 

1. What is reflection and refraction?

Reflection is the change in direction of a wave when it bounces off a surface. Refraction is the change in direction of a wave when it passes through a medium with a different density.

2. What are equal refractive indices?

Equal refractive indices refer to two mediums that have the same density, resulting in no change in the direction of a wave when it passes through.

3. Can light be both reflected and refracted with equal refractive indices?

No, if the refractive indices are equal, there will be no change in the direction of the light, so there will be no refraction. However, there can still be reflection if the light hits a surface at an angle.

4. How does the angle of incidence affect reflection and refraction with equal refractive indices?

If the angle of incidence is perpendicular to the surface, there will be no refraction, but there can still be reflection. If the angle of incidence is not perpendicular, both reflection and refraction will occur, but their magnitudes will be equal.

5. What is the law of reflection and refraction with equal refractive indices?

The law of reflection states that the angle of incidence is equal to the angle of reflection, while the law of refraction states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two mediums.

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