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Fiber Optic Lever Displacement Transducers: Principles, Improvements, and Applications - MTI Instruments
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Fiber Optic Lever Displacement Transducers: Principles, Improvements, and Applications - MTI Instruments


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MTI Instruments, Inc. 325 Washington Avenue Extension Albany, NY 12205 PH: +1-518-218-2550 OR USA TOLL FREE: 1-800-342-2203 FX: +1-518-218-2506 sales@mtiinstruments.com www.mtiinstruments.com APPLICATION NOTE Fiber Optic Lever Displacement Transducers: Principles, Improvements, and Applications Introduction The recent fl urry of activity in fi ber optic sensors has resulted in a great variety of technically sophisticated devices employing interference, polarization and wavelength modulation techniques l. While all of these methods offer great promise for certain specifi c applications and dedicated sensors, the intensity modulated Fiber Optic Lever Displacement Transducer offers a powerful combination of simplicity, performance, versatility, and low cost, which make it well suited for a wide variety of laboratory and industrial applications. The Principle The basic principle employed in the Fiber Optic Lever Displacement Transducer comes down to the use of an adjacent pair of fi ber optic elements, one to carry light from a remote source to an object or target whose displacement or motion is to be measured and the other to receive the light refl ected from the object and carry it back to a remote photo sensitive detector. A complete analysis of the principles and performance characteristics of this type of transducer was done by R.O. Cook and C.W. Hamm 2. A fi ber optic element is a fl exible strand of glass or plastic capable of transmitting light along its length by maintaining near total internal refl ection of the light accepted at its input end, as shown in Fig-1. The most commonly used fi bers are called “step index” type and consist of an inner core to carry the light fl ux and an outer cladding. For total internal refl ection to occur, the index of refraction of the glass in the core (Nl) must be greater than the index refraction of the glass cladding (N2). The sine of the half angle of the light which will be accepted into the core is defi ned as the numerical aperature (N.A.) and is given by the formula: N.A. = Sin 0 = ã(N1 2 - N2 2) This is the maximum angle at which a light ray incident on the face of the fi ber can be trapped within the core and refl ected along its length. The light rays then exiting the other end of the fi ber are also limited to the same angle. Individual fi bers usually fall in the range of about 0.001” diameter to .010” diameter although recent advances in the fi ber optic manufacturing technology has extended the size up to about .060”. Transmission effi ciency is dependent upon the composition and purity of the glass used in the core and cladding and on the quality of the optical fi nish on the end surfaces of the fi bers. Fig. 2 depicts the interaction of adjacent transmit and receive fi bers as the light is refl ected from a target. It can be seen that at zero gap, the light in the transmit fi ber would be refl ected directly back into itself and little or no MTII appnote: fi beroptics.pdf - Page 1 of 3

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