<p>An appropriately matched fitting model is essential to mathematically describe spectral features, and connect experimental data to theoretical model in a systematic mode. Occasionally, the experimental spectroscopic data exhibit key limitations such as noise, incomplete measurement conditions, low resolution, restricted spectral coverage, etc. Therefore, it is essential to fit these data to the best fitting-model to analyze and quantify the spectral features. Here, to efficiently and accurately determine the better matched model, we tested and compared the validity and ability of the Gaussian and Lorentzian distribution models on the experimental spectroscopic data of a 720&#xa0;nm InP quantum dot (QD) laser including emission spectra, nearfield profile, spontaneous emission spectra, modal absorption, and modal gain. The comparison between these two models focused on matching the best fit of each model with the experimental data of the spectra in terms of line shape, area under the curves, and the full width at half maximum (FWHM). The simulation results showed that the Gaussian model is convenient for the absorption spectrum, spontaneous emission spectrum, and near-field profile, whereas the lasing spectrum is appropriate for the Lorentzian distribution. Moreover, the results revealed that the best matched-fitted model in terms of the area under the curves was not necessarily the best in terms of the FWHM. Therefore, the best-matched model may be produced from a combination of Gaussian and Lorentzian models. This study provides detailed insight into a better-matched model for various experimental spectroscopic data in physics and chemistry.</p>

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Modelling and optimization of line-shape experimental data of emission and absorption spectra of the quantum dot laser

  • Ivan B. Karomi,
  • Zeyad T. Ahmed,
  • Odai F. Ameen,
  • Ahmed G. S. Al-Azzawi,
  • Shawkat l. Jubair

摘要

An appropriately matched fitting model is essential to mathematically describe spectral features, and connect experimental data to theoretical model in a systematic mode. Occasionally, the experimental spectroscopic data exhibit key limitations such as noise, incomplete measurement conditions, low resolution, restricted spectral coverage, etc. Therefore, it is essential to fit these data to the best fitting-model to analyze and quantify the spectral features. Here, to efficiently and accurately determine the better matched model, we tested and compared the validity and ability of the Gaussian and Lorentzian distribution models on the experimental spectroscopic data of a 720 nm InP quantum dot (QD) laser including emission spectra, nearfield profile, spontaneous emission spectra, modal absorption, and modal gain. The comparison between these two models focused on matching the best fit of each model with the experimental data of the spectra in terms of line shape, area under the curves, and the full width at half maximum (FWHM). The simulation results showed that the Gaussian model is convenient for the absorption spectrum, spontaneous emission spectrum, and near-field profile, whereas the lasing spectrum is appropriate for the Lorentzian distribution. Moreover, the results revealed that the best matched-fitted model in terms of the area under the curves was not necessarily the best in terms of the FWHM. Therefore, the best-matched model may be produced from a combination of Gaussian and Lorentzian models. This study provides detailed insight into a better-matched model for various experimental spectroscopic data in physics and chemistry.