Compared with strict rectangular pulse, the real rectangular pulse has power transients like the rising edge, failing edge and the oscillation times, which will cause self-phase modulation (SPM), leading to the BGS broadened or even be out of shape, and then result in the decline of the system measuring accuracy. Brillouin gain spectrum (BGS) can no longer maintain Lorentz line profile along the sensing fiber. In this paper, a model is established based on the nonlinear Schrodinger equation (NLSE) in regular single mode fiber (SMF) concerning the effects of pumping pulse power transients on the BGS. The noise is also taken into consideration to imitate the physical truth.
The Brillouin optical time-domain analysis system (BOTDA) is a distributed optical fiber sensing system based on the
measurement of the effective Brillouin gain, in which high power pumping pulse is demanded to fulfill optical time
domain reflectometry (OTDR) spatial orientation. As for strict rectangular pulse, BGS can maintain Lorentz line profile
along the sensor fiber, while the actual rectangular pulse has power transients like the rising edge and failing edge,
making BGS broadened or even distorted by the effect of self-phase modulation (SPM), which will induce the decline of
the measuring accuracy. A model concerning the effects of pumping pulse power transients on the BGS by means of
SPM is established based on the nonlinear Schrodinger equation (NLSE) in regular single mode fiber (SMF).
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