Chinese Journal of Lasers, Volume. 51, Issue 8, 0811003(2024)
Spectral Reduction Algorithm for Echelle Spectrometer Based on Full‐Field Fitting
Figures & Tables(22)
![Two dimensional spectral model. (a) Schematic of two-dimensional spectrum in free spectral range[9]; (b) schematic of two-dimensional spectrum of Hg-Ar lamp](/Images/icon/loading.gif){kind=icon}
Fig. 2. Two dimensional spectral model. (a) Schematic of two-dimensional spectrum in free spectral range[9]; (b) schematic of two-dimensional spectrum of Hg-Ar lamp
Fig. 3. Schematics of spectrum reconstruction process. (a) Original spectrum; (b) spectrum reconstruction model[26]; (c) one-dimensional spectrum
Fig. 5. Schematics of deviation method[11]. (a) Actual optical path diagram; (b) optical path diagram of equivalent model
Fig. 7. Programming software curves. (a) Curve of sampling points in X-direction; (b) curve of sampling points in Y-direction
Fig. 8. Fitting error curves. (a) Error after linear fitting in Y-direction; (b) error after quadratic fitting in X-direction; (c) error after cubic fitting in X-direction; (d) error after fourth-order fitting in X-direction
Fig. 9. Mercury-argon lamp spectrum taken in laboratory with selected 9 characteristic wavelength points marked by boxes
Fig. 10. Error curves before and after fitting. (a) Error curves before fitting; (b) error curves after fitting
Fig. 11. Original two-dimensional images. (a) Bright spots of effective light spot; (b) bright spots of background noise
Fig. 13. Local two-dimensional spectra of mercury-argon lamp. (a) Local spectrum before denoising; (b) local spectrum after denoising
Fig. 14. Schematics of false peaks during extracting. (a) Schematic of adjacent levels in long wavelength band; (b) schematic of fake peak
Fig. 15. One-dimensional spectrum of characteristic wavelength and light intensity
Fig. 16. Pixel deviations of characteristic wavelengths in different wavelength bands. (a) Pixel deviation in 200‒300 nm wavelength band; (b) pixel deviation in 300‒500 nm wavelength band; (c) pixel deviation in 500‒600 nm wavelength band; (d) pixel deviation in 600‒800 nm wavelength band
Table 1. Technical specifications of echelle spectrometer
View tableTable 1. Technical specifications of echelle spectrometer
Parameter Numerical value Spectral range /nm 200‒800 Spectral resolution /nm 0.02 Grating density /（1ine·mm - 1）54.5 Detector image surface size /（pixel×pixel） 1024×1024 Pixel size /（μm×μm） 13×13
Table 2. Differences between theoretical model data and initial model data along echelle/prism directions
View tableTable 2. Differences between theoretical model data and initial model data along echelle/prism directions
Wavelength /nm ΔY /pixel ΔX /pixel 200.016 -9.325 31.796 210.958 11.893 16.937 219.742 -12.895 10.194 233.265 12.770 2.749 242.910 -0.402 0.058 271.586 -15.016 -6.638 317.068 16.522 -11.457 370.337 -19.647 -15.806 460.439 23.658 -21.176 581.955 -30.028 -28.201 836..886 31.064 -41.008
Table 3. Differences between theoretical model data and standard model data along echelle/prism directions
View tableTable 3. Differences between theoretical model data and standard model data along echelle/prism directions
Wavelength /nm ΔY1 /pixel ΔX1 /pixel 201.294 1.317 -0.192 200.044 -0.924 0.118 843.318 1.045 -1.652 837.539 -1.035 -2.198 253.656 -0.431 -0.442 296.731 -0.095 0.165 313.165 0.399 -0.717 407.787 -0.037 0.151 546.085 0.601 1.782 621.353 -0.641 1.296 706.726 0.918 0.732 772.406 0.710 0.904
Table 4. Characteristic wavelengths in different wavelength ranges
View tableTable 4. Characteristic wavelengths in different wavelength ranges
Wavelength /nm Element lamp Band /nm 253.652 Hg-Ar 200‒300 296.728 Hg-Ar 200‒300 223.008 Cu 200‒300 244.090 Cu 200‒300 248.592 Cu 200‒300 282.425 Cu 200‒300 256.231 Li 200‒300 274.118 Li 200‒300 302.150 Hg-Ar 300‒400 313.155 Hg-Ar 300‒400 365.010 Hg-Ar 300‒400 324.754 Cu 300‒400 327.396 Cu 300‒400 333.782 Cu 300‒400 338.071 Sr 300‒400 404.656 Hg-Ar 400‒500 407.780 Hg-Ar 400‒500 435.835 Hg-Ar 400‒500 413.262 Li 400‒500 407.771 Sr 400‒500 416.180 Sr 400‒500 421.552 Sr 400‒500 460.733 Sr 400‒500 546.074 Hg-Ar 500‒600 576.961 Hg-Ar 500‒600 579.067 Hg-Ar 500‒600 510.550 Cu 500‒600 521.820 Cu 500‒600 515.330 Cu 500‒600 578.200 Cu 500‒600 588.995 Na 500‒600 589.592 Na 500‒600 610.362 Li 600‒700 670.784 Li 600‒700 696.540 Hg-Ar 600‒700 706.720 Hg-Ar 700‒800 727.290 Hg-Ar 700‒800 738.400 Hg-Ar 700‒800 750.390 Hg-Ar 700‒800 763.510 Hg-Ar 700‒800 772.400 Hg-Ar 700‒800 794.820 Hg-Ar 700‒800
Table 5. Comparison and deviations of characteristic wavelengths of elemental lamps
View tableTable 5. Comparison and deviations of characteristic wavelengths of elemental lamps
Characteristic wavelength /nm Extraced wavelength /nm Extraction deviation /nm 223.008 223.015 0.007 244.090 244.099 0.009 248.592 248.601 0.009 253.652 253.659 0.007 256.231 256.238 0.007 274.118 274.108 0.011 282.425 282.430 0.005 296.728 296.730 0.002 302.150 302.155 0.005 313.155 313.150 0.005 324.754 324.754 0 327.396 327.399 0.003 333.782 333.790 0.008 338.071 338.060 0.011 365.010 365.009 0.001 404.656 404.643 0.013 407.771 407.770 0.001 407.780 407.773 0.007 413.262 413.275 0.013 416.180 416.196 0.016 421.552 421.550 0.002 435.835 435.813 0.022 460.733 460.745 0.012 510.550 510.542 0.008 515.330 515.312 0.018 521.820 521.817 0.003 546.074 546.053 0.021 576.961 576.940 0.021 578.200 578.204 0.004 579.067 579.061 0.006 588.995 588.990 0.005 589.592 589.580 0.012 610.362 610.361 0.001 670.784 670.753 0.031 696.540 696.524 0.016 706.720 706.706 0.014 727.290 727.271 0.019 738.400 738.391 0.009 750.390 750.360 0.030 763.510 763.492 0.018 772.400 772.391 0.009 794.820 794.790 0.028
Table 6. Central wavelength differences between adjacent pixels in different wavelength bands
View tableTable 6. Central wavelength differences between adjacent pixels in different wavelength bands
Band /nm 200‒300 300‒500 500‒600 600‒800 Wavelength difference /nm 0.007 0.010 0.015 0.020
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Tao Cui, Lu Yin, Yanan Sun, Jianjun Chen, Yangdong Zhou, Longfei Han, Le Wang. Spectral Reduction Algorithm for Echelle Spectrometer Based on Full‐Field Fitting[J]. Chinese Journal of Lasers, 2024, 51(8): 0811003
Paper Information
Category: spectroscopy
Received: Dec. 1, 2023
Accepted: Jan. 16, 2024
Published Online: Apr. 11, 2024
The Author Email: Yin Lu (yinlu890622@163.com), Wang Le (calla@cjlu.edu.cn)
CSTR:32183.14.CJL231469
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