布里渊信号功率温度系数的理论分析

Theoretical Analysis of Power-to-Temperature Coefficients of Brillouin Signals

通过引入布里渊信号谱宽与温度的关系,从布里渊信号增益的表达式,得出了布里渊信号增益与温度的关系.再根据稳态的布里渊散射方程,得出了布里渊信号功率变化与温度变化的理论关系.该结果与已经报道的实验结果相一致,同时,结果显示布里渊信号功率温度系数与传感位置有关,传感位置越远,布里渊功率温度系数越小.

The relation between the power of a Brillouin signal and temperature the bases of distributed fiber temperature and strain sensors based on Brillouin scattering. By now, the theoretical analysis of the temperature coefficient for the power of Brillouin signals hasn＇t been reported, though many experimental results have been reported. The relation between the Brillouin gain and temperature is obtained by introducing the thermal effects of Brillouin gain spectrum and the expression of Brillouin gain coefficient. Based on these analysis and steady-state Brillouin scattering equations, the temperature coefficient for the power of Brillouin signals is obtained theoretically. The results accord with the experimental results reported in other references, and the temperature coefficient for the power of Brillouin signals is position-dependent, the farther the sensing position is, the smaller the temperature coefficient for the power of Brillouin signals is.