Scale factor compensation technology of laser gyro with total reflection prism

物理意义	公式
光束从空气折射到棱镜的变换矩阵M_P→A	$M_{P \to A} (ρ) = (\begin{matrix} 1 / n & 0 & 0 \\ - \frac{(n^{2} - 1) \sqrt{n^{2} + 1}}{n ρ} & n^{2} & - Δ n_{Q} + n Δ n_{A} \\ 0 & 0 & 1 \end{matrix})$
光束从棱镜到空气的变换矩阵M_A→P	$M_{A \to P} (ρ) = (\begin{matrix} n & 0 & 0 \\ - \frac{(n^{2} - 1) \sqrt{n^{2} + 1}}{n^{2} ρ} & \frac{1}{n^{2}} & \frac{Δ n_{Q}}{n^{2}} - \frac{Δ n_{A}}{n} \\ 0 & 0 & 1 \end{matrix})$
光束通过距离为l的介质的变换矩阵M_D	$M_{D} (〈 l 〉) = (\begin{matrix} 1 & 〈 l 〉 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{matrix})$
光束在全反射面上的变换矩阵	$M_{R P} (ρ) = (\begin{matrix} - 1 & 0 & 0 \\ - \frac{2 \sqrt{2}}{ρ} & - 1 & 0 \\ 0 & 0 & 1 \end{matrix})$
将棱镜式环形谐振腔展开为周期性薄透镜序列，由此得环绕矩阵M	$M = \prod_{i = 1}^{4} M_{A \to P} (ρ_{3 i - 2}) M_{D} (〈 l_{3 i - 2} 〉) M_{R P} (ρ_{3 i - 1}) M_{D} (〈 l_{3 i - 1} 〉) M_{P \to A} (ρ_{3 i}) M_{D} (〈 l_{3 i} 〉)$

Table 2. Comparison of gyro performance before and after temperature compensation

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Table 2. Comparison of gyro performance before and after temperature compensation

温度/℃	温度补偿前			温度补偿后
温度/℃	陀螺仪精度/(°/h)	标度因数稳定性/(ppm)	随机游走/( $^{\circ} / \sqrt{h}$ )	陀螺仪精度/(°/h)	标度因数稳定性/(ppm)	随机游走/( $^{\circ} / \sqrt{h}$ )
+25	0.65	30	0.002 5	0.42	0.83	0.001 8
−40−+70	0.77	33	0.002 9	0.55	0.91	0.002 0
+70−−40	0.78	32	0.002 8	0.53	0.95	0.002 1

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Yueruihan HUANG, Jiajun MA, Zipeng ZHANG, Jianning LIU, Junbiao JIANG. Scale factor compensation technology of laser gyro with total reflection prism[J]. Journal of Applied Optics, 2023, 44(2): 444

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