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592                       10. Sensing with Optics

       Example 10.2. An OTDR instrument has a pulse width of 10 ns; assume that
       the refractive of the fiber is n — 1.5. Calculate the spatial resolution of this
       OTDR.
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       Solve: Substituting c = 3 x 10  m/s, T = 1(T s, and n = 1.5 into Eq, (10.12),
       we get AZ min = 1 m.
       From the above example, it can be seen that the spatial resolution OTDR is
       in the order of meter. This may not be high enough for certain distributed
       sensing requirements, such as smart structure monitoring. To increase the
       spatial resolution, one has to reduce the pulse width. However, the reduction
       in the pulse width may cause a decrease in the launched pulse energy so that
       the detected light signal also decreases. Thus, the detected signal-to-noise ratio
       may become poor. In particular, when long sensing range is required, a certain
       power level is needed to guarantee that the backscattering signal is detectable
       in the whole sensing range. Thus, there is a basic trade-off between spatial
       resolution and sensing range. The pulse width and pulse energy must be
       optimized based on their application requirements.
          To enhance the capability of detecting a weak backscattering signal, several
       techniques were developed (e.g., coherent OTDR [25] and pseudorandom-
       coded OTDR [26]). In coherent OTDR, the weak returned backscatter signal is
       mixed with a strong coherent local oscillator optical signal to provide coherent
       amplification. In pseudorandom-coded OTDR, correlation techniques are used
       in conjunction with pseudorandom input sequences. Due to the use of multiple
       pulses, the pulse energy is increased without sacrificing the spatial resolution.

          10.3.1.2, Optical Time-Domain Reflectometry Based on Raman Scattering
          Rayleigh scattering is caused by density and composition fluctuations frozen
       into the material during the drawing process. This type of scattering is largely
       independent of ambient temperature provided that the thermo-optic coeffi-
       cients of the fiber constituents are similar. To sense the ambient temperature
       distribution, optical time-domain reflectometry based on Raman scattering
       was developed.
          Raman scattering involves the inelastic scattering of photons. The molecular
       vibrations of glass fiber (induced by incident light pulse) cause incident light
       to be scattered, and as a result, produce components in a broadband about the
       exciting (pump) wavelength comprising Stokes (A s, lower photon energy) and
       anti-Stokes (x a, higher photon energy) emissions [27]. Its usefulness for
       temperature sensing is that the intensity ratio between Stokes and anti-Stokes
       is temperature dependent, as given by

                                         4 hi
                                          - ™\                      (10.13)
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