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IB Physics Topic F Mr. Jean April 14th, 2014 The plan: • Video clip of the day • Communications – Fibre Optics COMMUNICATION OPTIC FIBRE TRANSMISSION TOTAL INTERNAL REFLECTION • https://www.y outube.com/w atch?v=EvHIe dXw7Xo Total Internal Reflection • When a ray of light travels from a denser to a rarer medium such that the angle of incidence is greater than the critical angle, the ray reflects back into the medium. This is called total internal reflection. Optical Fibres • Consists of a very thin glass core surrounded by a material of slightly lower refractive index called cladding • The thin fibre can be bent without breaking and a ray of light can be sent down the fibre’s core • Total internal reflection takes place at the boundary of the core and the cladding Acceptance angle • The maximum angle of incidence that a ray can make that will result in total internal reflection is called acceptance angle Material Dispersion • Light of different wavelengths have different refractive index and hence come out of the fibre at different times. This is called material dispersion Modal Dispersion Modal dispersion • Rays that undergo many internal reflections are said to follow a high order mode paths • Rays undergoing fewer reflections follow low order mode paths • Set of rays having same wavelength reach the end at different times due to different paths taken. This is called modal dispersion Monomode & Multimode fibre • In multimode fibres, the core has a diameter of about 100μm and the cladding is about 20μm thick • The rays passing through multimode fibres undergo material as well as modal dispersion • In monomode fibres, the core has a diameter of about 8 -10μm and the cladding is about 125μm thick. • Rays follow just one path eliminating modal dispersion Step Index fibre • The refractive index of core is constant • The refractive index of cladding is constant • The refractive index of cladding is slightly lower than that of core Graded index fibre • Refractive index of core decreases smoothly from the centre to the outer edge • Refractive index of cladding is constant ATTENUATION • Attenuation in an optic fibre is caused by the impurities of the glass core. The amount of attenuation depends on the wavelength of the light being transmitted. • Power loss in decibels is defined as – Power loss = 10log (Pfinal / Pinitial) in dB • Thus a power loss of 16 decibels means that the initial power of, say,8.0mW has been reduced to 0.2mW VARIATION OF SPECIFIC ATTENUATION WITH WAVELENGTH Attenuation & Wavelength • The specific attenuation ( power loss in dB per unit length ) actually depends on the wavelength of the radiation travelling along the optic fibre • The graph shows minima at 1310nm and 1550nm, which implies that these are desirable wavelengths for optimal transmission • These are infra red wavelengths DETECTION • The light that enters an optic fibre travels down the length of the fibre and the arrival of light is registered by a photodiode • In the absence of any light, falling on the photodiode, the current is zero • When light of a specific wavelength falls on the photodiode, a current flows. The magnitude of the current is proportional to the intensity of light A light detector circuit with a photodiode NOISE: • Source of noise in a cable: • Random motion of electrons which creates additional electric fields contaminating the signal. This increases with temperature. • Lightning • Charged particles emitted by the sun during intense solar activity NOISE IN OPTICAL FIBRES • Main source is the dark current of the photodiode. This is the small current that flows even when the photodiode is dark • Signal to noise ratio (SNR) is defined as • SNR = 10log Psignal / Pnoise PROBLEM 1. The refractive index of the core of an optical fibre is 1.50 and that of the cladding is 1.40.Calculate the acceptance angle of the fibre. Ans:330 2. The refractive index of the core of an optical fibre is 1.50 and the critical angle of the core- cladding boundary is 750.Calculate the refractive index of the cladding. Ans: 1.45 PROBLEM 3. An amplifier amplifies an incoming signal of power 0.34mW to a signal of power 2.2mW.Calculate the power gain of the amplifier in decibels. Ans: 8.1dB 4. A signal of power 12mW is input to a cable of specific attenuation 4.0 dB/km. Calculate the power of the signal after it has travelled 6.0km in the cable. Ans: 0.048mW PROBLEM 1. The minimum SNR considered acceptable for a certain signal is 30dB.If the power of the noise is 2.0mW, calculate the least acceptable signal power. 2. The SNR in a certain signal is 10dB.the signal passes through an amplifier of gain 6.0dB.What will be the signal to noise ratio after amplification?