High-accuracy spectral reduction algorithm for the échelle spectrometer

Yin, Lu; Bayanheshig,; Yang, Jian; Lu, Yuxian; Zhang, Rui; Sun, Changzheng; Cui, Jia

doi:10.1364/ao.55.003574

Cited by 23 publications

(9 citation statements)

References 23 publications

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“…In the vertical plane, the dispersion angle is introduced by the echelle grating. According the grating diffraction equation and the quasi-Littrow configuration [7], the variation of the vertical dispersion angle could be figured out as …”

Section: Parameter Designmentioning

confidence: 99%

Design and Implementation of a Compact Echelle Spectrometer

Fu¹,

Duan²,

Li³

2018

dtetr

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Abstract. As a special kind of spectrometers, echelle spectrometer features wide spectral range and full spectrum direct reading. However, the two-dimensional dispersion of the echelle grating usually leads to complex structure and aberration conditions, which impacts the resolution. In this work, a compact echelle spectrometer with wide detection range and high resolution was designed and implemented, considering both the optical component parameters and the instrument structure. The simulated and experimental results proved that wide spectral range (200-600nm), high resolution (better than 0.1nm) and compact structure (260*220*110mm) were achieved.

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Section: Parameter Designmentioning

confidence: 99%

Design and Implementation of a Compact Echelle Spectrometer

Fu¹,

Duan²,

Li³

2018

dtetr

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“…In 2002, Piskunov et al presented an algorithm that processes traditional and cross-dispersed echelle spectra and exhibits exceptional quality in terms of noise level and CCD defects [ 15 ]. In 2016, Yin et al introduced a high-precision spectral reconstruction algorithm that established a one-to-one correspondence between the wavelength and pixel position [ 16 ]. The algorithm’s accuracy was improved by calculating the offset distance of the primary light beam from the center of the image plane in the two-dimensional vertical direction and by compensating for the spectral line curvature of the reflective prism.…”

Section: Introductionmentioning

confidence: 99%

Construction, Spectral Modeling, Parameter Inversion-Based Calibration, and Application of an Echelle Spectrometer

Wang

Zhao

et al. 2023

Sensors

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We have developed a compact, asymmetric three-channel echelle spectrometer with remarkable high-spectral resolution capabilities. In order to achieve the desired spectral resolution, we initially establish a theoretical spectral model based on the two-dimensional coordinates of spot positions corresponding to each wavelength. Next, we present an innovative and refined method for precisely calibrating echelle spectrometers through parameter inversion. Our analysis delves into the complexities of the nonlinear two-dimensional echelle spectrogram. We employ a variety of optimization techniques, such as grid exploration, simulated annealing, genetic algorithms, and genetic simulated annealing (GSA) algorithms, to accurately invert spectrogram parameters. Our proposed GSA algorithm synergistically integrates the strengths of global and local searches, thereby enhancing calibration accuracy. Compared to the conventional grid exploration method, GSA reduces the error function by 22.8%, convergence time by 2.16 times, and calibration accuracy by 7.05 times. Experimental validation involves calibrating a low-pressure mercury lamp, resulting in an average spectral accuracy error of 0.0257 nm after performing crucial parameter inversion. Furthermore, the echelle spectrometer undergoes a laser-induced breakdown spectroscopy experiment, demonstrating exceptional spectral resolution and sub-10 ns time-resolved capability. Overall, our research offers a comprehensive and efficient solution for constructing, modeling, calibrating, and applying echelle spectrometers, significantly enhancing calibration accuracy and efficiency. This work contributes to the advancement of spectrometry and opens up new possibilities for high-resolution spectral analysis across various research and industry domains.

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“…It seems that the contradiction between complexity and accuracy remains unsolved. Many researchers have proposed revisions and optimizations based on this idea with the aim of improving the consistency of the model under the premise of reducing its complexity [7,17,18]. At present, the highest attainable accuracy incurs an error of approximately one pixel.…”

Section: Introductionmentioning

confidence: 99%

Sub-pixel Spectral Reduction Algorithm for Echelle Spectrometer

Yang

Yin

SUN

et al. 2021

Preprint

Self Cite

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A sub-pixel spectral reduction algorithm for the echelle spectrometer is proposed here to ensure a high spectral resolution for it. The initial model is established by separating cross-dispersion and calculating the imaging offset from the center. The geometric optics formula and mathematical function are used to calculate the offset in two vertical directions respectively. The deviation of the initial model is less than two pixels which is caused by coupling effect of the two vertical directions，and it is too difficult and complicated to calculate true value of the deviation. Therefore, the method of mathematical fitting is used to update the model that the deviation can be reduced. The coordinates were contrast between algorithm and both ray tracing and experimental results to determine the deviation. The results show that the maximum deviation of the whole image plane is not greater than one pixels (sub-pixel level). The proposed spectral reduction algorithm thus significantly improves the spectral accuracy of the echelle spectrometer, and the model is simple to establish and modify, which renders it suitable for applications.

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High-accuracy spectral reduction algorithm for the échelle spectrometer

Cited by 23 publications

References 23 publications

Design and Implementation of a Compact Echelle Spectrometer

Design and Implementation of a Compact Echelle Spectrometer

Construction, Spectral Modeling, Parameter Inversion-Based Calibration, and Application of an Echelle Spectrometer

Sub-pixel Spectral Reduction Algorithm for Echelle Spectrometer

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