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Rapid computation of the total band radiance by using the Spectrally\n Integrated Voigt Function

2021/02/15 by Sanjar M. Abrarov, Rehan Siddiqui, Abrarov, Sanjar M. +5
Chemistry · Earth and Planetary Sciences · Environmental Science · #Atmospheric Ozone and Climate #Atmospheric and Environmental Gas Dynamics #Atmospheric and Oceanic Physics (physics.ao-ph) #FOS: Physical sciences #General Physics (physics.gen-ph) #Spectroscopy and Laser Applications

paper · pdf · doi:10.48550/arxiv.2105.09891

openalex publication_date 2021/02/15 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

In our earlier publication we introduced the Spectrally Integrated Voigt\nFunction (SIVF) as an alternative to the traditional Voigt function for the\nHITRAN-based applications [Quine & Abrarov, JQSRT 2013]. It was shown that\napplication of the SIVF enables us to reduce spectral resolution without loss\nof accuracy in computation of the spectral radiance. As a further development,\nin this study we present more efficient SIVF approximations derived by using a\nnew sampling method based on incomplete cosine expansion of the sinc function\n[Abrarov & Quine, Appl. Math. Comput. 2015]. Since the SIVF mathematically\nrepresents the mean value integral of the Voigt function, this method accounts\nfor area under the curve of the Voigt function. Consequently, the total band\nradiance, defined as the integrated spectral radiance within a given spectral\nregion, can also retain its accuracy even at low spectral resolution. Our\nnumerical results demonstrate that application of the SIVF may be promising for\nmore rapid line-by-line computation in atmospheric models utilizing the HITRAN\nmolecular spectroscopic database. Such an approach may be particularly\nefficient to implement a retrieval algorithm for the greenhouse gases from the\nNIR space data collected by Earth-orbiting micro-spectrometers like Argus 1000\nfor their operation in a real-time mode. The real-time mode operation of the\nmicro-spectrometers can be advantageous for instant decision making during\nflight for more efficient data collection from space.\n

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