Page 81 - Instrumentation Reference Book 3E
P. 81

66  Measurement of  length
                                                      The position of the spots can be sensed with a
                                                     position-sensitive photocell  as  described  above.
                                                     Where  digital  output  of  beam  movement  is
                                              neni of   needed it is also possible to use a linear array of
                                                     photodetectors each operating its own level detec-
                                                     tor or being scanned, sequentially, into  a  single
                                                     output channel. Linear arrays with over 200 elem-
                                                     ents are now commonplace.
                                 Photo detector array   Optical lenses and mirrors can be used to alter
                                 produces phased signals
                                 as maire'trinaesrnove in   the  beam movement  geometry in  order to  scale
                                 vertical direction
                                  lor horizontal according
                                 ta choice of index and   the subject's movement amplitude to suit that of
                     reference frame  I   scale)
                                                     an optical position detector.
                                                     3.5.4.2  Interferometyy  and transit-time methods
                          source of
                          radiation
                          lliurnlnaring              Where long length (meters and above) measure-
                          grating and
                          index                      ments are needed it is possible to use a suitable
           Figure 3.1 6  Moirhfringes used to measure length   beam of radiation sensed in its longitudinal direc-
                                                     tion. Several different methods are available.
           analog subdivision methods.  Moire fringe scales   If  the  beam  has  time-coherent  properties
           are able to provide large range  (by butting  sec-   (either superimposed or inherently in the carrier)
           tions) and  a discrimination  level  at the  subdivi-   it will then be possible to use interference methods
           sion  chosen  which  can  be  as  small  as  lpm.   to  detect  phase  differences between  a  reference
           Accuracy is limited by the placement of the lines   part of  the beam and that sent to the subject to
           on the scale, by the mounting of the scale, and by   be reflected back. Laser, microwave sources, and
           the temperature effects that alter its length. The   coherently generated acoustic radiation  each can
           method  is  suitable  for  both  linear  and  rotary   be  used  in  this  interference mode.  The  shorter
           forms of sensing.                         the  wavelength of  the  radiation,  the  smaller the
             Although there was much developmental activ-   potential  discrimination  that  can  be  obtained.
           ity in moirC methods in the 1950-to-1965 period,   Thus  with  optical  interferometers it  is  practical
           their design has stabilized now that the practical-   to  detect length  differences as  small as  a  nano-
           ities have been realized.                 meter  but  only  around  a  few  millimeters when
             MoirC methods have also found use for strain   microwave radiation is used.
           investigation, a subject discussed in Chapter 4.   Figure  3.18  shows  the  basic  layout  of  the
             The easily procured coherent properties of con-   optical  elements  needed  to  form  a  laser-based
           tinuous wave laser radiation have provided a sim-   interferometer.  That  shown  incorporates  fre-
           ple,  yet  highly  effective method  for  monitoring   quency stabilization and Zeeman splitting of the
           the diameter of small objects such as wire as it is   radiation  features  that  give  the  system a  highly
           being drawn. The radiation, being coherent, dif-   stable and accurate measurement capability and a
           fracts at the intersection with the wire producing   frequency, rather than amplitude form, of output
            a number of diffraction beams at points past the   representing length. A commercial unit is shown
           wire. Figure 3.17 shows the method. As the wire   in  Figure  3.5.  Corner cubes are used instead  of
            size reduces, the spots diverge, giving this method   the  flat  mirrors  originally  used  in  the  classical
           improved  precision  as  the  object  size  becomes   Michelson interferometer. They make adjustment
            smaller.                                 very straightforward, for the angle of the cube to













                       srea-modifying
                       OPflCS
                                      Pattern
                                                     Figure 3.18  Basiclayoutof thefrequencyoutputformof
            Figure 3.17  Use of diffraction to gauge fine diameters.   laser length-measuring interferometer.
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