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Total Internal Reflection (TIR) is a critical concept in optics, where light is completely reflected within a medium like glass or water, rather than passing into another medium. This phenomenon occurs when the light hits the boundary at an angle greater than the critical angle, which is determined by the refractive indices of the two media. TIR is fundamental in technologies such as fiber optic communication and contributes to the sparkle of diamonds due to the high refractive index and low critical angle.
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TIR is the complete reflection of light within a medium, occurring when light strikes the boundary between two media at an angle greater than the critical angle
Determined by refractive indices
The critical angle for TIR is specific to the pair of media involved and is determined by their refractive indices
Calculated using an equation
The critical angle for TIR can be calculated using the equation Sin C = n2/n1, where n1 is the refractive index of the denser medium and n2 is the refractive index of the less dense medium
TIR occurs when light propagates from a denser to a less dense medium and the angle of incidence exceeds the critical angle for the interface between the two media
Refraction is the bending of light as it passes from one medium to another, observable when a straight object appears bent when partially submerged in water
The critical angle for refraction is the smallest angle of incidence at which light can still pass from a denser to a less dense medium, and it depends on the refractive indices of the two media
Optical density, indicated by a medium's refractive index, plays a crucial role in TIR as it determines the critical angle for TIR to occur
A medium with a higher refractive index is optically denser and must be the medium from which light originates for TIR to occur when it encounters a boundary with a less dense medium
TIR is essential in various applications, including the transmission of light through fiber optic cables and the brilliance observed in well-cut diamonds
Examples in nature
Natural examples of TIR include mirages, created by temperature gradients in the air, and the sparkling effect on water surfaces
Diamond's appearance
The internal reflection of light within a diamond, due to its high refractive index and low critical angle, contributes to its sparkling appearance