total internal reflection

1. total internal reflection critical angle

2. When light travels from an optically denser medium to a less dense medium, rays are bent away from the normal. The incident substance has a larger refractive index than the other substance c A little light is also reflected. θ θ For a larger angle of incidence, more light is reflected as well as the refracted ray being bent further from the normal When the critical angle, c, is reached it produces an angle of refraction of 900 For angles of incidence greater than the critical angle, TOTAL INTERNAL REFLECTION occurs. N.B. The angle of incidence = The angle of REFLECTION

3. TOTAL INTERNAL REFLECTION weak reflected ray As the angle of incidence increases towards the critical angle ( glass = 420 ) the refracted ray gets weaker and the reflected ray gets stronger.

4. 2 1 C Critical angle depends upon the refractive indices of the media HENCE If medium 2 is air, n2 = 1, and so

5. 2 AIR 1 C WATER For Water C = 48.80 C = 41.80 For Crown Glass

6. THE CRITICAL ANGLE Finding the Critical Angle… 1) Ray gets refracted 2) Ray still gets refracted 4) Ray gets internally reflected 3) Ray still gets refracted (just!)

7. Why do diamond sparkle? * high refractive index 2.417 Critical angle =? * Colours are spread out more and TIR occurs many times inside the diamond before emerging

8. ENDOSCOPE This is an endoscope image of the inside of the throat. The arrows point to the vocal chords Controls End probe containing coherent bundle, incoherent bundle, lens and surgical instruments Eyepiece Light injected here

9. The endoscope is inserted into a body cavity, which is then illuminated through an in coherent bundle of fibres A lens over the end of the other bundle is used to form an image of the body

10. A coherent bundle means that the fibre ends at each end must be in the same relative positions

11. A COHERENT BUNDLE: A bundle of optical fibres in which the relative spatial coordinates of each fibres are the same at the two ends of the bundle. Such a bundle are used for the transmission of images. A NON-COHERENT FIBRE bundle, as you would expect, does not have this precise matrix alignment since they need only transmit light for illumination purposes. They are cheaper to produce.

12. cladding core FIBRE OPTIC COMMUNICATIONS PROBLEM: Input light rays cannot be precisely parallel. Rays taking different paths will take different times to travel along the fibre, resulting in the jumbling of the signal. Solution : Monomode fibre only 5μm in diameter

13. Optical fibres in communications Purpose?

14. Optical fibres in communications

15. Optical fibres in communications

16. Pulse broadening with spectral dispersion Pulse out with spectral dispersion Pulse in - white light

17. Pulse broadening with spectral dispersion Pulse out with spectral dispersion Pulse in - white light

18. Pulse broadening with spectral dispersion Pulse out with spectral dispersion Pulse in - white light

19. Other uses of total internal reflection 1) Endoscopes (a medical device used to see inside the body): 2) Binoculars and periscopes (using “reflecting prisms”)

20. air layers Hot Desert Sand THE MIRAGE Water for my hump! Air layers closer to the sand are hotter and less dense. Light from the sky is successively bent until a critical angle is reached and then total internal reflection occurs. A mirage "water" illusion is seen because the mind initially interprets the light rays reaching our eyes as having come along a straight path originating from the ground. Thus, the image of that patch of sky we see "on the ground" is interpreted as a surface "pool of water."