Applications of Total Internal Reflection

Optical fibre

It is a optical device which helps in communicating the signal from one place to another place without any transmission loss. It works basing on total internal reflection concept.

It has two cylindrical parts where inner one is called core and the outer one is called cladding. The refractive index of core is more than that of cladding.

In this device light Ray moves from denser medium to rarer medium. We shall allow the light Ray to incident in the denser medium in such a way that at the surface it shall experience total internal reflection. We shall pass the light Ray into the system with a particular angle so that after going into the device it will experience total internal reflection. This particular angle is called angle of launching.

When the light is passed through optical fibre there is no wastage of energy takes place. The entire input that is given at one end will automatically reach the other end. It is simply because the entire message is restricted itself only to the denser medium. As angle of incidence is more than critical angle the entire light Ray reflects back into the core itself. Thus no portion of the energy has gone into the cladding and hence there is no wastage of energy.

Optical Fibre is a very thin, light weighted and a flexible device. It is a part of a nanotechnology such that the size of this device is very small. Hundreds of optical fibres tied together will just take the size of a small pipe.

With different angles of launching, we can pass multiple signals through a single optical fibre simultaneously. This different signals takes different parts and hence there is no messing up. They will reach two different destinations without any problem.



Formation of Mirage

Mirage is nothing but the illusion of a object seen in reverse that is inverted that when we see it from  long distance during the summer seasons.This happens because of total internal reflection.

When a observer is standing at a distance and seeing an object like a tree, he is seeing through the air. Direct light rays from the object becomes little bit difficult when the object is far away. The light rays from the object are reflected by the air layers that are there on the surface of the earth towards the observer. Being the summer, the air layers will have different temperatures. The air that is close to the surface of the earth is higher than the upper layer. 

As a result the lower layer is a rarer medium and upper layer is a denser medium. As a light Ray is trying to pass from denser medium to rarer medium, at a particular angle of incidence with experience a total internal reflection. As a result the light Ray reflects back to the observer as shown in the diagram. For the observer the light rays are extended through the eye is the reverse direction to see the formation of the image of the object. Thus the object appears like a inverted one for the observer and this phenomena is called a mirage.



The duration of the sun visibility

When there is no atmosphere around the Sun we can see it both in the morning and the evening straight from the origin. But there is a lot of atmosphere around the Sun and it is exposed to different temperatures. It is very clear that the air layer that is close to the surface of the earth will be that lesser temperature than the upper layer. Hence the lower layers behave like a denser medium and the upper layers behaves like a rarer medium. The phenomena of the total internal reflection take place here also. Hence we can see the sun even after the sun set was happened.



Total internal reflection in a prism

Basing on the definition of the total internal reflection and the critical angle, we can calculate the value of the critical angle of a glass prism as shown below. As the refractive index of the glass with respect to Air is close to 3/2, the corresponding critical angle is close to 42°.

If the angle of incidence through one of the face of the prism is more than 42°, then the light experience a total internal reflection as shown.




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Critical Angle and Total Internal Reflection

Critical angle

When a light ray is moving from denser medium to rarer medium, it moves away from the normal. As the angle of incidence increases, angle of deviation also increases.

With the increase of angle of incidence angle of reflection in this case also increases. At a particular angle of incidence, angle of refraction becomes 90° and the light Ray grazes the boundary that is operating the two media. This particular angle of incidence is called critical angle. At the critical angle light Ray, goes exactly on the surface of the line separating the two media. Therefore at the critical angle angle of refraction is 90°. The reflected light rail is neither going into the rarer medium nor staying in the denser medium.

Total internal reflection

When a light ray is moving from denser medium to rarer medium, it moves away from the normal. With the increase of angle of incidence, angle of refraction also increases. For a particular angle of incidence called critical angle, angle of refraction is 90° and the light Ray just grazes the boundary that is separating the two media.

If the angle of incidence is more than the critical angle, the angle of refraction is more than 90°. Therefore even after the refraction the entire light Ray is reverted back into the denser medium.

The phenomena of the light restricting back into the denser medium when the angle of incidence is more than the critical angle is called total internal reflection. For the total internal reflection to happen there shall be two conditions satisfied.

The first condition is the light ray shall be moving from denser medium to a medium. The second condition is the angle of incidence shall be more than that of the critical angle.

Basing on the definition of the refractive index we can write a small equation for the critical angle as shown below.




Field vision of a fish

Let us consider a fish at a depth h from the surface of water. The fish would like to observe the surroundings in air media above the water. Hence it starts passing the light rays from the water into the air that is from denser medium to rarer medium.

The fish is able to see the surroundings above the surface of water until its angle of incidence is less than equal to critical angle. Once if the angle of incidence crosses the critical angle, the entire light rays are reflected back into the water. This is due to the phenomena of total internal reflection. Therefore the fish is able to see the surroundings only until the angle of incidence is equal to critical angle. Taking this concept into consideration and by some simple mathematical equations we can derive the equations for the Field vision of a fish as shown below.

Once if we are able to calculate the radius up to where the fish can see, we can calculate the area of the vision and that area is called Field vision of fish.



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