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A Numerical Investigation into the Influence of Langevin Noise on Vibration Measurement Using Self-Mixing Laser Diode

机译:利用自混合激光二极管对兰富汉噪声对振动测量影响的数值研究

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We report on the influence of intrinsic noise on the self-mixing signal associated with a vibrating target. The signal intensity of a semiconductor laser is investigated using a numerical simulation based on the rate equations incorporating Langevin noise forces. The photon density (signal intensity) as a function of the target displacement was calculated for the spontaneous emission factor β = 10{sup}-6 ~ 10{sup}-4. The reconstructed displacement waveform was obtained from the sawtooth signal caused by the self-mixing effect between the backscattered light from the target and the light in the laser diode. The influence of the noise on the displacement waveform of the vibrating target as a function of the feedback amplitude reflectivity r{sub}(ext) and the spontaneous emission factor β was shown. While the Langevin noise is greatly affect by β and the photon density was found to be more stable when β is less than 10{sup}-6, we found that the amplitudes of the reconstructed waveform with different β values are close to the true value of the target displacement amplitude (7.8 μm peak to peak) when r{sub}(ext) = 0.5% ~ 1.2%. The variation coefficient in the case of r{sub}(ext) = 0.5% ~ 1.2% remained below 7%. These results are potentially useful for precise displacement measurement.
机译:我们报告了内在噪声对与振动靶相关的自混合信号的影响。使用基于包含Langevin噪声力的速率方程的数值模拟来研究半导体激光器的信号强度。计算作为目标位移的函数的光子密度(信号强度)用于自发发射因子β= 10 {sup} -6〜10 {sup} -4。由由来自目标和激光二极管中的光的反向散射光之间的自混合效果引起的锯齿信号获得重建的位移波形。示出了作为反馈幅度反射率R {SUB}(ext)和自发发射因子β的振动目标的噪声对振动目标位移波形的影响。虽然Langevin噪声大大影响β并且当β小于10 {sup} -6时发现光子密度更稳定,但我们发现,具有不同β值的重建波形的幅度接近真实值当R {sub}(ext)= 0.5%〜1.2%时,目标位移幅度(7.8μm至峰值)。 r {sub}(ext)= 0.5%〜1.2%的变化系数仍然低于7%。这些结果可能用于精确位移测量。

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