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598                      10. Sensing with Optics

       this distributed fiber sensor is

                                 L                                  (10,24)
                                    2ndf   2nd A'
       where 6f and  <5/l are the effective frequency resolution and wavelength
       resolution, respectively.
         For the semiconductor laser, the frequency tuning range can be 10 GHz
       changing the driving current. Substituting this number, n = 1.5, and c =
             8
       3 x 10 m/s into Eq. (10.23), we obtain Ax = 1 cm. Similarly, if the effective
       frequency resolution can be 1 kHz (this is possible with current diode laser
       technology), then, based on Eq. (10.24), the sensing range L can be as long as
       10 km.
         In OFDR, coherent detection is needed. Since conventional single mode
       fiber cannot hold the polarization state of the light propagating in the fiber,
       polarization-insensitive detection is expected. Figure 10.19 shows polarization-
       insensitive detection using the polarization-diversity receiver. Since the refer-
       ence signal is equally divided between two detectors, squaring and summing
       the two photocurrents produces a signal independent of the unknown polariz-
       ation angle 9. If the returning test signal is elliptically polarized, the only
       difference will be a phase shift in the fringe pattern on one of the detectors. This
       phase shift is not important since the envelope detector eliminates any phase
       information before the summing process. Therefore, the output signal is



                                                                 Polareier




       Frequency
       Modulation










                                                                      Output



                                            Polarization Diversity Receiver
        Fig. 10.19. An experimental setup for the implementation of a polarization-diversity receiver.
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