Spectral and Radiometric Calibration Methods for Acousto-Optic Spectrometer

Chi Cheng; Huijie Zhao; Qi Guo; Ran Li

doi:10.3788/AOS231717

Acta Optica Sinica, Volume. 44, Issue 9, 0930001(2024)

Spectral and Radiometric Calibration Methods for Acousto-Optic Spectrometer

Chi Cheng^1,2, Huijie Zhao^1,2,3,4、*, Qi Guo^1,2,4, and Ran Li³

Author Affiliations

¹School of Instrumentation and Opto-Electronic Engineering, Beihang University, Beijing 100191, China

²Qingdao Research Institute of Beihang University, Qingdao 266104, Shandong , China

³Institute of Artificial Intelligence, Beihang University, Beijing 100191, China

⁴Aerospace Optical-Microwave Integrated Precision Intelligent Sensing, Key Laboratory of Ministry of Industry and Information Technology, Beihang University, Beijing 100191, China

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Figures & Tables(10)

Fig. 1. Wave-vector diagram of acousto-optic interaction in noncollinear AOTF

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Fig. 2. Temperature dependence. (a) Elastic stiffness constant c₄₄^[9-10,12]; (b) elastic stiffness constant c'^[9-10,12]; (c) acoustic velocity (acoustic cut α=12°); (d) frequency drift caused by temperature dependence of elastic stiffness constant

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Fig. 3. Temperature-compensated calibration method. (a) Experimental setup; (b) flow chart of calibration method

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$Temperature-compensated spectral calibration. (a) Frequency responses for different wavelengths (temperature is 50 ℃); (b) frequency responses for different temperatures (wavelength is 4 μm), and vertical coordinate indicates diffraction efficiency of AOTF; (c) tuning relation after temperature compensation; (d) tuning frequency deviation from measurements before and after compensation with different wavelengths (temperature is -10 ℃)$

Fig. 4. Temperature-compensated spectral calibration. (a) Frequency responses for different wavelengths (temperature is 50 ℃); (b) frequency responses for different temperatures (wavelength is 4 μm), and vertical coordinate indicates diffraction efficiency of AOTF; (c) tuning relation after temperature compensation; (d) tuning frequency deviation from measurements before and after compensation with different wavelengths (temperature is $-$ 10 ℃)

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Fig. 5. Temperature-compensated radiation calibration. (a) Calculated spectral radiance before calibration at different temperatures; (b) calculated spectral radiance after calibration (0 ℃)

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Table 1. Average deviation between theoretical model calculation and measured results
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Table 1. Average deviation between theoretical model calculation and measured results
Wavelength /μm 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5
Average deviation /MHz 0.086 0.030 0.005 0.010 0.006 0.013 0.014 0.022 0.033

Table 2. Frequency drift when introducing temperature dependence of different physical properties to the model
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Table 2. Frequency drift when introducing temperature dependence of different physical properties to the model
Wavelength /μm 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 4.5
Frequency drift /（kHz/10 ℃） $Δ f_{v} (λ)$ 10 9 9 9 9 8 8 8 8
$Δ f_{n} (λ)$ 3 2 2 2 2 2 2 2 2
$Δ f_{v, n} (λ)$ 12 12 12 11 11 11 10 10 10
Experimental data 13 12 12 11 11 11 11 10 9

Table 3. Optical wavelength drifts at different temperatures
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Table 3. Optical wavelength drifts at different temperatures
Temperature /℃ 50 30 10 $-$ 10 $-$ 30
Wavelenth /μm 4.005 4.000 3.996 3.993 3.989

Table 4. Frequency deviation before and after temperature compensation
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Table 4. Frequency deviation before and after temperature compensation
Temperature /℃ Frequency deviation （before compensation）ΔF /kHz Frequency deviation （after compensation）ΔF_c /kHz
$-$ 30 41.1 0.29
$-$ 10 14.7 1.53
30 26.3 1.28
50 62.3 0.87

Table 5. Average radiance deviation before and after temperature compensation

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Table 5. Average radiance deviation before and after temperature compensation

Temperature /℃	Radiance deviation （before compensation） ΔL /（W·sr^-1·m^-2）	Radiance deviation （after compensation） ΔL_c /（W·sr^-1·m^-2）	Relative average deviation （before compensation）/%	Relative average deviation （after compensation）/%
$-$ 20	0.066	0. 011	5.09	0.90
$-$ 10	0.057	0.007	5.53	0.71
0	0.041	0.016	4.14	1.77
10	0.008	0.022	0.79	2.26
30	0.048	0.047	4.71	4.62

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Chi Cheng, Huijie Zhao, Qi Guo, Ran Li. Spectral and Radiometric Calibration Methods for Acousto-Optic Spectrometer[J]. Acta Optica Sinica, 2024, 44(9): 0930001

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