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

Area of Science:

• Spectrometry
• Optical Engineering
• Computational Physics

Background:

• Echelle spectrometers are crucial for high-resolution spectral analysis.
• Accurate calibration is essential for reliable spectroscopic data.
• Existing calibration methods can be time-consuming and less precise.

Purpose of the Study:

• To develop an advanced calibration method for compact, asymmetric three-channel echelle spectrometers.
• To enhance spectral resolution and accuracy in echelle spectroscopy.
• To provide a comprehensive solution for spectrometer construction, modeling, and application.

Main Methods:

• Developed a theoretical spectral model based on 2D spot positions.
• Employed parameter inversion for precise echelle spectrometer calibration.
• Utilized optimization techniques including grid exploration, simulated annealing, genetic algorithms, and genetic simulated annealing (GSA).
• Integrated global and local search strategies within the GSA algorithm.

Main Results:

• The GSA algorithm reduced the error function by 22.8% and convergence time by 2.16 times compared to grid exploration.
• Achieved a calibration accuracy improvement of 7.05 times with the GSA method.
• Experimental calibration of a mercury lamp yielded an average spectral accuracy error of 0.0257 nm.
• Demonstrated exceptional spectral resolution and sub-10 ns time-resolved capability in laser-induced breakdown spectroscopy.

Conclusions:

• The proposed GSA-based parameter inversion offers a significantly more accurate and efficient calibration for echelle spectrometers.
• This advancement enhances the capabilities of echelle spectrometers for high-resolution spectral analysis.
• The developed methodology provides a robust framework for spectrometer development and application in research and industry.