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Interferometric sensing approach  175

            parameters,  notably  for  acoustic  detection  in   in  the  use  of  single  mode  laser  diodes.  These
            hydrophone developments, its use in the monitor-   include  a  greatly  reduced  degree of  wavelength
            ing  of  low  frequency  quasi-static  measurands   stabilization of the source and the elimination of
            such  as temperature,  pressure,  and  strain  fields   feedback problems  in the lasing cavity since the
            ha.s  seen less progress.                white-light  system can  operate  with  multimode
              This  lack  of  progress  results  from  a  serious   laser  diodes  or  LED  devices. White-light  inter-
            limitation  of  the  current  modulation  method   ferometry  is  dependent  on  the  relatively  short
            which requires a high degree of wavelength stabil-   coherence lengths of this type of source and oper-
            ization  of  the  laser  diode  source.  For  example,   ates by  connecting the source, sensing interfero-
            even withlatit the necessary wavelength modula-   meters, and processing system via an optical fiber
            tion,  there  is  a  stringent  requirement  on  the   network to establish a remote sensing device.
            degree  of  wavelength  stabilization  needed.  In
            order  to  provide   a  SN   resolution   in   12.3.3.2  Ternyorally scariried method'
            the  interferometric  fringe,  the  required  wave-
            length  stability  SA  of  the  source  wavelength  is   In  order  to  conveniently measure  optical  phase
            related to the cavity length L by:       changes introduced in the sensing interferometer;
                                                     a carrier signal is produced by modulation of the
                     A2
                SA  = -6N                     (12.4)   path imbalance in a second processing interfero-
                    2nL                              meter,  as  will  be  described  below.  In  the  con-
            For a modest  1/100 of a fringe resolution and a   ventional white-light interferometric method this
            1 cm arm imbalance, the required stabilization in   is carried out by the periodic displacement of one
            the central wavelength needed is therefore about   interferometer mirror in a linear ramp fashion by
            2 x  10-'3rn.  Considering  that  the  variation  in   a  piezoelectric  modulator,  therefore  producing
            source  wavelength  is  about  0.02 ndmA  and   a  sinusoidal  fringe  output  signal.  This  type  of
            about  0.3nd°C, this  implies  a  control  in  the   system is classified as the tenzporalfiinge method
            drive current of < 10 pA and at a temperature of   (e.g., Boheim and Fritsch 1987). A major advan-
            < 1/1000 "C. These represent  demanding control   tage  of  the white-light interferometric  technique
            conditions  on the laser  diode  source,  especially   is  its  relative insensitivity to wavelength fluctu-
            when  it is realized that the drive  current  of  the   ations of the source.
            laser diode needs to be linearly modulated over a   Basically, the white-light technique has a sens-
            2 x  lo-* nm range at the same time as its central   ing interferometer  and a reference or processing
            wavelength  is  stabilized  to the  indicated  levels.   interferometer  along with a broad spectral band-
            Attempts have been made to stabilize the central   width  source such as a LED, a multimode laser
            wavelength  of  the  source  to  atomic absorption   diode  or a  super-radiant  source  (see, e.g., Ning
            lines (see, e.g.,  Villeneuve and  Tetu  1987), and   et al.  1989). The broadband  source  is  launched
            also to a linearly scanned Fabry-Perot  reference   into the core of the optical fiber and transmitted
            interferometer  (Change  and  Shay  1988). How-   to  the  sensor  head  interferometer,  as  shown  in
            ever,  the  stringent  control requirements  needed   Figure 12.6(a). The path imbalance of the sensing
            for this technique have led to the rise in an alter-   interferometer,  L1,  is  made  a  distance  greater
            native interferometric method-that  based on the   than the coherence length, I,,  of the source radi-
            "white-light" technique that makes use of a broad   ation such that light reflected back from the two
            spectral  bandwidth  source.  This method  is  con-   cavity  mirrors  does  not  interfere  but  is  passed
            sidered in the following sections.       down the connecting fiber leads and via a direc-
                                                     tional  coupler  into  the  processing  or  reference
                                                     interferometer  cavity. The imbalance, L?, of this
            12.3.3  White-light interferometry       interferometer is made comparable to that of the
                                                     sensing interferometer and necessarily within the
            12.3.3.1  Introduction
                                                     coherence length of the source, &I&?.   Here, part
            -'White-light"  optical  fiber  interferometry  has   of  the  radiation  is  brought  back  into temporal
            established itself as a powerful sensing technique   coherence  by  the  interaction  of  the  two  inter-
            in  the  development  of  a wide  range  of  sensing   ferometers,  and the resulting  interference  signal
            systems.  The  method  was  initially  confined  to   is detected on the output photodetector, Modula-
            the use of  single mode optical fiber components   tion of either the sensor or processing interfero-
            (see Al-Chalabi  etal.  1983). More  recently  this   meter path imbalance will lead to a modulation in
            "white-light"  or  low-coherence  interferometric   the  phase  of  the  output  interference  signal.  A
            method  has  attracted  a  broad  interest  (e.g.,   carrier  signal is  then  introduced  on  the  output
            Bosselmann  and  Ulrich  1984;  Mariller  and   signal by  a  serrodyne  displacement  modulation
            Lequine  1957;  Valleut  etal.  1987)  due  to  its   on  one  mirror  of  the  reference  interferometer.
            ability to overcome some of the major limitations   Using  a  piezoelectric  transducer  the  mirror  is
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